# T. Gehrmann - Zurich University

## Contact Details

NameT. Gehrmann |
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AffiliationZurich University |
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CityZürich |
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CountrySwitzerland |
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## Pubs By Year |
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## External Links |
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## Pub CategoriesHigh Energy Physics - Phenomenology (49) High Energy Physics - Experiment (12) High Energy Physics - Theory (5) Physics - Accelerator Physics (1) |

## Publications Authored By T. Gehrmann

Hadronic jets in deeply inelastic electron-proton collisions are produced by the scattering of a parton from the proton with the virtual gauge boson mediating the interaction. The HERA experiments have performed precision measurements of inclusive single jet production and di-jet production in the Breit frame, which provide important constraints on the strong coupling constant and on parton distributions in the proton. We describe the calculation of the next-to-next-to-leading order (NNLO) QCD corrections to these processes, and assess their size and impact. Read More

**Authors:**David d'Enterria, Peter Z. Skands, D. Anderle, F. Anulli, J. Aparisi, G. Bell, V. Bertone, C. Bierlich, S. Carrazza, G. Corcella, D. d'Enterria, M. Dasgupta, I. Garcia, T. Gehrmann, O. Gituliar, K. Hamacher, N. P. Hartland, A. H. Hoang, A. Hornig, S. Jadach, T. Kaufmann, S. Kluth, D. W. Kolodrubetz, A. Kusina, C. Lee, G. Luisoni, V. Mateu, H. Matevosyan, W. Metzger, S. O. Moch, P. F. Monni, B. Nachman, E. R. Nocera, M. Perelló, W. Placzek, S. Plätzer, R. Perez-Ramos, G. Rauco, P. Richardson, F. Ringer, J. Rojo, Ph. Roloff, Y. Sakaki, N. Sato, R. Simoniello, T. Sjöstrand, P. Z. Skands, M. Skrzypek, G. Soyez, I. W. Stewart, M. Stratmann, J. Talbert, S. Todorova, S. Tokar, M. Vos, A. Vossen

This document collects the proceedings of the "Parton Radiation and Fragmentation from LHC to FCC-ee" workshop (http://indico.cern.ch/e/ee\_jets16) held at CERN in Nov. Read More

We compute the order $\alpha_s^2$ QCD corrections to the $b$-quark forward-backward asymmetry in $e^+e^-\to b{\bar b}$ collisions at the $Z$ boson resonance, taking the non-zero mass of the $b$ quark into account. We determine these corrections with respect to both the $b$-quark axis and the thrust axis definition of the asymmetry. We compute also the distributions of these axes with respect to the electron beam. Read More

**Authors:**D. de Florian

^{1}, C. Grojean

^{2}, F. Maltoni

^{3}, C. Mariotti

^{4}, A. Nikitenko

^{5}, M. Pieri

^{6}, P. Savard

^{7}, M. Schumacher

^{8}, R. Tanaka

^{9}, R. Aggleton

^{10}, M. Ahmad

^{11}, B. Allanach

^{12}, C. Anastasiou

^{13}, W. Astill

^{14}, S. Badger

^{15}, M. Badziak

^{16}, J. Baglio

^{17}, E. Bagnaschi

^{18}, A. Ballestrero

^{19}, A. Banfi

^{20}, D. Barducci

^{21}, M. Beckingham

^{22}, C. Becot

^{23}, G. Bélanger

^{24}, J. Bellm

^{25}, N. Belyaev

^{26}, F. U. Bernlochner

^{27}, C. Beskidt

^{28}, A. Biekötter

^{29}, F. Bishara

^{30}, W. Bizon

^{31}, N. E. Bomark

^{32}, M. Bonvini

^{33}, S. Borowka

^{34}, V. Bortolotto

^{35}, S. Boselli

^{36}, F. J. Botella

^{37}, R. Boughezal

^{38}, G. C. Branco

^{39}, J. Brehmer

^{40}, L. Brenner

^{41}, S. Bressler

^{42}, I. Brivio

^{43}, A. Broggio

^{44}, H. Brun

^{45}, G. Buchalla

^{46}, C. D. Burgard

^{47}, A. Calandri

^{48}, L. Caminada

^{49}, R. Caminal Armadans

^{50}, F. Campanario

^{51}, J. Campbell

^{52}, F. Caola

^{53}, C. M. Carloni Calame

^{54}, S. Carrazza

^{55}, A. Carvalho

^{56}, M. Casolino

^{57}, O. Cata

^{58}, A. Celis

^{59}, F. Cerutti

^{60}, N. Chanon

^{61}, M. Chen

^{62}, X. Chen

^{63}, B. Chokoufé Nejad

^{64}, N. Christensen

^{65}, M. Ciuchini

^{66}, R. Contino

^{67}, T. Corbett

^{68}, D. Curtin

^{69}, M. Dall'Osso

^{70}, A. David

^{71}, S. Dawson

^{72}, J. de Blas

^{73}, W. de Boer

^{74}, P. de Castro Manzano

^{75}, C. Degrande

^{76}, R. L. Delgado

^{77}, F. Demartin

^{78}, A. Denner

^{79}, B. Di Micco

^{80}, R. Di Nardo

^{81}, S. Dittmaier

^{82}, A. Dobado

^{83}, T. Dorigo

^{84}, F. A. Dreyer

^{85}, M. Dührssen

^{86}, C. Duhr

^{87}, F. Dulat

^{88}, K. Ecker

^{89}, K. Ellis

^{90}, U. Ellwanger

^{91}, C. Englert

^{92}, D. Espriu

^{93}, A. Falkowski

^{94}, L. Fayard

^{95}, R. Feger

^{96}, G. Ferrera

^{97}, A. Ferroglia

^{98}, N. Fidanza

^{99}, T. Figy

^{100}, M. Flechl

^{101}, D. Fontes

^{102}, S. Forte

^{103}, P. Francavilla

^{104}, E. Franco

^{105}, R. Frederix

^{106}, A. Freitas

^{107}, F. F. Freitas

^{108}, F. Frensch

^{109}, S. Frixione

^{110}, B. Fuks

^{111}, E. Furlan

^{112}, S. Gadatsch

^{113}, J. Gao

^{114}, Y. Gao

^{115}, M. V. Garzelli

^{116}, T. Gehrmann

^{117}, R. Gerosa

^{118}, M. Ghezzi

^{119}, D. Ghosh

^{120}, S. Gieseke

^{121}, D. Gillberg

^{122}, G. F. Giudice

^{123}, E. W. N. Glover

^{124}, F. Goertz

^{125}, D. Gonçalves

^{126}, J. Gonzalez-Fraile

^{127}, M. Gorbahn

^{128}, S. Gori

^{129}, C. A. Gottardo

^{130}, M. Gouzevitch

^{131}, P. Govoni

^{132}, D. Gray

^{133}, M. Grazzini

^{134}, N. Greiner

^{135}, A. Greljo

^{136}, J. Grigo

^{137}, A. V. Gritsan

^{138}, R. Gröber

^{139}, S. Guindon

^{140}, H. E. Haber

^{141}, C. Han

^{142}, T. Han

^{143}, R. Harlander

^{144}, M. A. Harrendorf

^{145}, H. B. Hartanto

^{146}, C. Hays

^{147}, S. Heinemeyer

^{148}, G. Heinrich

^{149}, M. Herrero

^{150}, F. Herzog

^{151}, B. Hespel

^{152}, V. Hirschi

^{153}, S. Hoeche

^{154}, S. Honeywell

^{155}, S. J. Huber

^{156}, C. Hugonie

^{157}, J. Huston

^{158}, A. Ilnicka

^{159}, G. Isidori

^{160}, B. Jäger

^{161}, M. Jaquier

^{162}, S. P. Jones

^{163}, A. Juste

^{164}, S. Kallweit

^{165}, A. Kaluza

^{166}, A. Kardos

^{167}, A. Karlberg

^{168}, Z. Kassabov

^{169}, N. Kauer

^{170}, D. I. Kazakov

^{171}, M. Kerner

^{172}, W. Kilian

^{173}, F. Kling

^{174}, K. Köneke

^{175}, R. Kogler

^{176}, R. Konoplich

^{177}, S. Kortner

^{178}, S. Kraml

^{179}, C. Krause

^{180}, F. Krauss

^{181}, M. Krawczyk

^{182}, A. Kulesza

^{183}, S. Kuttimalai

^{184}, R. Lane

^{185}, A. Lazopoulos

^{186}, G. Lee

^{187}, P. Lenzi

^{188}, I. M. Lewis

^{189}, Y. Li

^{190}, S. Liebler

^{191}, J. Lindert

^{192}, X. Liu

^{193}, Z. Liu

^{194}, F. J. Llanes-Estrada

^{195}, H. E. Logan

^{196}, D. Lopez-Val

^{197}, I. Low

^{198}, G. Luisoni

^{199}, P. Maierhöfer

^{200}, E. Maina

^{201}, B. Mansoulié

^{202}, H. Mantler

^{203}, M. Mantoani

^{204}, A. C. Marini

^{205}, V. I. Martinez Outschoorn

^{206}, S. Marzani

^{207}, D. Marzocca

^{208}, A. Massironi

^{209}, K. Mawatari

^{210}, J. Mazzitelli

^{211}, A. McCarn

^{212}, B. Mellado

^{213}, K. Melnikov

^{214}, S. B. Menari

^{215}, L. Merlo

^{216}, C. Meyer

^{217}, P. Milenovic

^{218}, K. Mimasu

^{219}, S. Mishima

^{220}, B. Mistlberger

^{221}, S. -O. Moch

^{222}, A. Mohammadi

^{223}, P. F. Monni

^{224}, G. Montagna

^{225}, M. Moreno Llácer

^{226}, N. Moretti

^{227}, S. Moretti

^{228}, L. Motyka

^{229}, A. Mück

^{230}, M. Mühlleitner

^{231}, S. Munir

^{232}, P. Musella

^{233}, P. Nadolsky

^{234}, D. Napoletano

^{235}, M. Nebot

^{236}, C. Neu

^{237}, M. Neubert

^{238}, R. Nevzorov

^{239}, O. Nicrosini

^{240}, J. Nielsen

^{241}, K. Nikolopoulos

^{242}, J. M. No

^{243}, C. O'Brien

^{244}, T. Ohl

^{245}, C. Oleari

^{246}, T. Orimoto

^{247}, D. Pagani

^{248}, C. E. Pandini

^{249}, A. Papaefstathiou

^{250}, A. S. Papanastasiou

^{251}, G. Passarino

^{252}, B. D. Pecjak

^{253}, M. Pelliccioni

^{254}, G. Perez

^{255}, L. Perrozzi

^{256}, F. Petriello

^{257}, G. Petrucciani

^{258}, E. Pianori

^{259}, F. Piccinini

^{260}, M. Pierini

^{261}, A. Pilkington

^{262}, S. Plätzer

^{263}, T. Plehn

^{264}, R. Podskubka

^{265}, C. T. Potter

^{266}, S. Pozzorini

^{267}, K. Prokofiev

^{268}, A. Pukhov

^{269}, I. Puljak

^{270}, M. Queitsch-Maitland

^{271}, J. Quevillon

^{272}, D. Rathlev

^{273}, M. Rauch

^{274}, E. Re

^{275}, M. N. Rebelo

^{276}, D. Rebuzzi

^{277}, L. Reina

^{278}, C. Reuschle

^{279}, J. Reuter

^{280}, M. Riembau

^{281}, F. Riva

^{282}, A. Rizzi

^{283}, T. Robens

^{284}, R. Röntsch

^{285}, J. Rojo

^{286}, J. C. Romão

^{287}, N. Rompotis

^{288}, J. Roskes

^{289}, R. Roth

^{290}, G. P. Salam

^{291}, R. Salerno

^{292}, R. Santos

^{293}, V. Sanz

^{294}, J. J. Sanz-Cillero

^{295}, H. Sargsyan

^{296}, U. Sarica

^{297}, P. Schichtel

^{298}, J. Schlenk

^{299}, T. Schmidt

^{300}, C. Schmitt

^{301}, M. Schönherr

^{302}, U. Schubert

^{303}, M. Schulze

^{304}, S. Sekula

^{305}, M. Sekulla

^{306}, E. Shabalina

^{307}, H. S. Shao

^{308}, J. Shelton

^{309}, C. H. Shepherd-Themistocleous

^{310}, S. Y. Shim

^{311}, F. Siegert

^{312}, A. Signer

^{313}, J. P. Silva

^{314}, L. Silvestrini

^{315}, M. Sjodahl

^{316}, P. Slavich

^{317}, M. Slawinska

^{318}, L. Soffi

^{319}, M. Spannowsky

^{320}, C. Speckner

^{321}, D. M. Sperka

^{322}, M. Spira

^{323}, O. Stål

^{324}, F. Staub

^{325}, T. Stebel

^{326}, T. Stefaniak

^{327}, M. Steinhauser

^{328}, I. W. Stewart

^{329}, M. J. Strassler

^{330}, J. Streicher

^{331}, D. M. Strom

^{332}, S. Su

^{333}, X. Sun

^{334}, F. J. Tackmann

^{335}, K. Tackmann

^{336}, A. M. Teixeira

^{337}, R. Teixeira de Lima

^{338}, V. Theeuwes

^{339}, R. Thorne

^{340}, D. Tommasini

^{341}, P. Torrielli

^{342}, M. Tosi

^{343}, F. Tramontano

^{344}, Z. Trócsányi

^{345}, M. Trott

^{346}, I. Tsinikos

^{347}, M. Ubiali

^{348}, P. Vanlaer

^{349}, W. Verkerke

^{350}, A. Vicini

^{351}, L. Viliani

^{352}, E. Vryonidou

^{353}, D. Wackeroth

^{354}, C. E. M. Wagner

^{355}, J. Wang

^{356}, S. Wayand

^{357}, G. Weiglein

^{358}, C. Weiss

^{359}, M. Wiesemann

^{360}, C. Williams

^{361}, J. Winter

^{362}, D. Winterbottom

^{363}, R. Wolf

^{364}, M. Xiao

^{365}, L. L. Yang

^{366}, R. Yohay

^{367}, S. P. Y. Yuen

^{368}, G. Zanderighi

^{369}, M. Zaro

^{370}, D. Zeppenfeld

^{371}, R. Ziegler

^{372}, T. Zirke

^{373}, J. Zupan

^{374}

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^{10}The LHC Higgs Cross Section Working Group,

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^{291}The LHC Higgs Cross Section Working Group,

^{292}The LHC Higgs Cross Section Working Group,

^{293}The LHC Higgs Cross Section Working Group,

^{294}The LHC Higgs Cross Section Working Group,

^{295}The LHC Higgs Cross Section Working Group,

^{296}The LHC Higgs Cross Section Working Group,

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^{304}The LHC Higgs Cross Section Working Group,

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^{310}The LHC Higgs Cross Section Working Group,

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^{312}The LHC Higgs Cross Section Working Group,

^{313}The LHC Higgs Cross Section Working Group,

^{314}The LHC Higgs Cross Section Working Group,

^{315}The LHC Higgs Cross Section Working Group,

^{316}The LHC Higgs Cross Section Working Group,

^{317}The LHC Higgs Cross Section Working Group,

^{318}The LHC Higgs Cross Section Working Group,

^{319}The LHC Higgs Cross Section Working Group,

^{320}The LHC Higgs Cross Section Working Group,

^{321}The LHC Higgs Cross Section Working Group,

^{322}The LHC Higgs Cross Section Working Group,

^{323}The LHC Higgs Cross Section Working Group,

^{324}The LHC Higgs Cross Section Working Group,

^{325}The LHC Higgs Cross Section Working Group,

^{326}The LHC Higgs Cross Section Working Group,

^{327}The LHC Higgs Cross Section Working Group,

^{328}The LHC Higgs Cross Section Working Group,

^{329}The LHC Higgs Cross Section Working Group,

^{330}The LHC Higgs Cross Section Working Group,

^{331}The LHC Higgs Cross Section Working Group,

^{332}The LHC Higgs Cross Section Working Group,

^{333}The LHC Higgs Cross Section Working Group,

^{334}The LHC Higgs Cross Section Working Group,

^{335}The LHC Higgs Cross Section Working Group,

^{336}The LHC Higgs Cross Section Working Group,

^{337}The LHC Higgs Cross Section Working Group,

^{338}The LHC Higgs Cross Section Working Group,

^{339}The LHC Higgs Cross Section Working Group,

^{340}The LHC Higgs Cross Section Working Group,

^{341}The LHC Higgs Cross Section Working Group,

^{342}The LHC Higgs Cross Section Working Group,

^{343}The LHC Higgs Cross Section Working Group,

^{344}The LHC Higgs Cross Section Working Group,

^{345}The LHC Higgs Cross Section Working Group,

^{346}The LHC Higgs Cross Section Working Group,

^{347}The LHC Higgs Cross Section Working Group,

^{348}The LHC Higgs Cross Section Working Group,

^{349}The LHC Higgs Cross Section Working Group,

^{350}The LHC Higgs Cross Section Working Group,

^{351}The LHC Higgs Cross Section Working Group,

^{352}The LHC Higgs Cross Section Working Group,

^{353}The LHC Higgs Cross Section Working Group,

^{354}The LHC Higgs Cross Section Working Group,

^{355}The LHC Higgs Cross Section Working Group,

^{356}The LHC Higgs Cross Section Working Group,

^{357}The LHC Higgs Cross Section Working Group,

^{358}The LHC Higgs Cross Section Working Group,

^{359}The LHC Higgs Cross Section Working Group,

^{360}The LHC Higgs Cross Section Working Group,

^{361}The LHC Higgs Cross Section Working Group,

^{362}The LHC Higgs Cross Section Working Group,

^{363}The LHC Higgs Cross Section Working Group,

^{364}The LHC Higgs Cross Section Working Group,

^{365}The LHC Higgs Cross Section Working Group,

^{366}The LHC Higgs Cross Section Working Group,

^{367}The LHC Higgs Cross Section Working Group,

^{368}The LHC Higgs Cross Section Working Group,

^{369}The LHC Higgs Cross Section Working Group,

^{370}The LHC Higgs Cross Section Working Group,

^{371}The LHC Higgs Cross Section Working Group,

^{372}The LHC Higgs Cross Section Working Group,

^{373}The LHC Higgs Cross Section Working Group,

^{374}The LHC Higgs Cross Section Working Group

This Report summarizes the results of the activities of the LHC Higgs Cross Section Working Group in the period 2014-2016. The main goal of the working group was to present the state-of-the-art of Higgs physics at the LHC, integrating all new results that have appeared in the last few years. The first part compiles the most up-to-date predictions of Higgs boson production cross sections and decay branching ratios, parton distribution functions, and off-shell Higgs boson production and interference effects. Read More

Drell-Yan lepton pairs with finite transverse momentum are produced when the vector boson recoils against (multiple) parton emission(s), and is determined by QCD dynamics. At small transverse momentum, the fixed order predictions break down due to the emergence of large logarithmic contributions. This region can be studied via the $p_T^Z$ distribution constructed from the energies of the leptons, or through the $\phi^*$ distribution that relies on the directions of the leptons. Read More

We derive the second-order QCD corrections to the production of a Higgs boson recoiling against a parton with finite transverse momentum, working in the effective field theory in which the top quark contributions are integrated out. To account for quark mass effects, we supplement the effective field theory result by the full quark mass dependence at leading order. Our calculation is fully differential in the final state kinematics and includes the decay of the Higgs boson to a photon pair. Read More

We give a brief overview of our calculation of the next-to-next-to-leading order (NNLO) QCD corrections to Z+jet production in hadronic collisions. Phenomenological results are presented which comprise various differential distributions for 8 TeV proton-proton collisions. A significant reduction of the scale uncertainties is observed throughout as we move from NLO to NNLO. Read More

The production of two-jet final states in deep inelastic scattering is an important QCD precision observable. We compute it for the first time to next-to-next-to-leading order (NNLO) in perturbative QCD. Our calculation is fully differential in the lepton and jet variables and allows one to impose cuts on the jets both in the laboratory and the Breit frame. Read More

In view of the searches at the LHC for scalar particle resonances in addition to the 125 GeV Higgs boson, we present the cross section for a CP-even scalar produced via gluon fusion at N3LO in perturbative QCD assuming that it couples directly to gluons in an effective theory approach. We refine our prediction by taking into account the possibility that the scalar couples to the top-quark and computing the corresponding contributions through NLO in perturbative QCD. We assess the theoretical uncertainties of the cross section due to missing higher-order QCD effects and we provide the necessary information for obtaining the cross section value and uncertainty from our results in specific scenarios beyond the Standard Model. Read More

The transverse momentum distribution of massive neutral vector bosons can be measured to high accuracy at hadron colliders. The transverse momentum is caused by a partonic recoil, and is determined by QCD dynamics. We compute the single and double-differential transverse momentum distributions for fully inclusive $Z/\gamma^*$ production including leptonic decay to next-to-next-to-leading order (NNLO) in perturbative QCD. Read More

We present the computation of Higgs boson plus one jet production at NNLO at the LHC. The computation is carried out in the heavy-top-quark approximation and using the antenna subtraction formalism to handle the IR divergent structure of the individual contributions. All channels and all colours are included. Read More

We present the most precise value for the Higgs boson cross-section in the gluon-fusion production mode at the LHC. Our result is based on a perturbative expansion through N$^3$LO in QCD, in an effective theory where the top-quark is assumed to be infinitely heavy, while all other Standard Model quarks are massless. We combine this result with QCD corrections to the cross-section where all finite quark-mass effects are included exactly through NLO. Read More

We discuss the next-to-next-to-leading order (NNLO) QCD corrections to Z boson production in association with a jet including all partonic channels at all color levels and including the leptonic decay of the Z boson. We focus on the optimization of the numerical evaluation of the double-real contribution and demonstrate that our procedure for spreading the Monte Carlo integration over $\mathcal{O}(1000)$ cores and recombining the results afterwards lead to stable results with sensible error estimates. We apply representative cuts on the jet and charged lepton transverse momenta and pseudorapidities at LHC energies and present the transverse momentum and rapidity distributions of the charged leptons. Read More

Virtual two-loop corrections to scattering amplitudes are a key ingredient to precision physics at collider experiments. We compute the full set of planar master integrals relevant to five-point functions in massless QCD, and use these to derive an analytical expression for the two-loop five-gluon all-plus-helicity amplitude. After subtracting terms that are related to the universal infrared and ultraviolet pole structure, we obtain a remarkably simple and compact finite remainder function, consisting only of dilogarithms. Read More

The coupling of a pseudo-scalar Higgs boson to gluons is mediated through a heavy quark loop. In the limit of large quark mass, it is described by an effective Lagrangian that only admits light degrees of freedom. In this effective theory, we compute the three-loop massless QCD corrections to the form factor that describes the coupling of a pseudo-scalar Higgs boson to gluons. Read More

We compute the cross section and differential distributions for the production of a Z boson in association with a hadronic jet to next-to-next-to-leading order (NNLO) in perturbative QCD, including the leptonic decay of the Z boson. We present numerical results for the transverse momentum and rapidity distributions of both the Z boson and the associated jet at the LHC. We find that the NNLO corrections increase the next-to-leading order (NLO) predictions by approximately 1% and significantly reduce the scale variation uncertainty. Read More

The rare Higgs boson decay $H\to Z\gamma$ is forbidden at tree-level. In the Standard Model, it is loop-mediated through a $W$ boson or a heavy quark. We analytically compute the QCD correction to the heavy quark loop, confirming earlier purely numerical results, that were obtained for on-shell renormalization. Read More

We compute the two-loop massless QCD corrections to the helicity amplitudes for the production of two massive vector bosons in quark-antiquark annihilation, allowing for an arbitrary virtuality of the vector bosons: $q \bar q' \to V_1V_2$. Combining with the leptonic decay currents, we obtain the full two-loop QCD description of the corresponding electroweak four-lepton production processes. The calculation is performed by projecting the two-loop diagrams onto an appropriate basis of Lorentz structures. Read More

In this article, we compute the gluon fusion Higgs boson cross-section at N3LO through the second term in the threshold expansion. This calculation constitutes a major milestone towards the full N3LO cross section. Our result has the best formal accuracy in the threshold expansion currently available, and includes contributions from collinear regions besides subleading corrections from soft and hard regions, as well as certain logarithmically enhanced contributions for general kinematics. Read More

The factorisation of QCD matrix elements in the limit of two external partons becoming collinear is described by process-independent splitting amplitudes, which can be expanded systematically in perturbation theory. Working in conventional dimensional regularisation, we compute the two-loop splitting amplitudes for all simple collinear splitting processes, including subleading terms in the regularisation parameter. Our results are then applied to derive an analytical expression for the two-loop single-real contribution to inclusive Higgs boson production in gluon fusion to fourth order (N3LO) in perturbative QCD. Read More

Charged gauge boson pair production at the Large Hadron Collider allows detailed probes of the fundamental structure of electroweak interactions. We present precise theoretical predictions for on-shell $W^+W^-$ production that include, for the first time, QCD effects up to next-to-next-to-leading order in perturbation theory. As compared to next-to-leading order, the inclusive $W^+W^-$ cross section is enhanced by 9% at 7 TeV and 12% at 14 TeV. Read More

We compute the cross section and differential distributions for the production of a Standard Model Higgs boson in association with a hadronic jet to next-to-next-to-leading order in quantum chromodynamics (QCD). In Higgs boson studies at the LHC, final states containing one jet are a dominant contribution to the total event rate, and their understanding is crucial for improved determinations of the Higgs boson properties. We observe substantial higher order corrections to transverse momentum spectra and rapidity distributions in Higgs-plus-one-jet final states. Read More

We compute the three-loop QCD corrections to the vertex function for the Yukawa coupling of a Higgs boson to a pair of bottom quarks in the limit of vanishing quark masses. This QCD form factor is a crucial ingredient to third-order QCD corrections for the production of Higgs bosons in bottom quark fusion, and for the fully differential decay rate of Higgs bosons to bottom quarks. The infrared pole structure of the form factors agrees with the prediction from infrared factorization in QCD. Read More

We report on the calculation of the next-to-next-to-leading order (NNLO) QCD corrections to the production of two gluonic jets at hadron colliders. In previous work, we discussed gluonic dijet production in the gluon-gluon channel. Here, for the first time, we update our numerical results to include the leading colour contribution to the production of two gluonic jets via quark-antiquark scattering. Read More

This article summarizes new theoretical developments, ideas and results that were presented at the 2014 Moriond "QCD and High Energy Interactions". Read More

We report on the first calculation of next-to-next-to-leading order (NNLO) QCD corrections to the inclusive production of ZZ pairs at hadron colliders. Numerical results are presented for pp collisions with centre-of-mass energy ($\sqrt{s}$) ranging from 7 to 14 TeV. The NNLO corrections increase the NLO result by an amount varying from $11\%$ to $17\%$ as $\sqrt{s}$ goes from 7 to 14 TeV. Read More

**Authors:**J. Butterworth

^{1}, G. Dissertori

^{2}, S. Dittmaier

^{3}, D. de Florian

^{4}, N. Glover

^{5}, K. Hamilton

^{6}, J. Huston

^{7}, M. Kado

^{8}, A. Korytov

^{9}, F. Krauss

^{10}, G. Soyez

^{11}, J. R. Andersen

^{12}, S. Badger

^{13}, L. Barzè

^{14}, J. Bellm

^{15}, F. U. Bernlochner

^{16}, A. Buckley

^{17}, J. Butterworth

^{18}, N. Chanon

^{19}, M. Chiesa

^{20}, A. Cooper-Sarkar

^{21}, L. Cieri

^{22}, G. Cullen

^{23}, H. van Deurzen

^{24}, G. Dissertori

^{25}, S. Dittmaier

^{26}, D. de Florian

^{27}, S. Forte

^{28}, R. Frederix

^{29}, B. Fuks

^{30}, J. Gao

^{31}, M. V. Garzelli

^{32}, T. Gehrmann

^{33}, E. Gerwick

^{34}, S. Gieseke

^{35}, D. Gillberg

^{36}, E. W. N. Glover

^{37}, N. Greiner

^{38}, K. Hamilton

^{39}, T. Hapola

^{40}, H. B. Hartanto

^{41}, G. Heinrich

^{42}, A. Huss

^{43}, J. Huston

^{44}, B. Jäger

^{45}, M. Kado

^{46}, A. Kardos

^{47}, U. Klein

^{48}, F. Krauss

^{49}, A. Kruse

^{50}, L. Lönnblad

^{51}, G. Luisoni

^{52}, Daniel Maître

^{53}, P. Mastrolia

^{54}, O. Mattelaer

^{55}, J. Mazzitelli

^{56}, E. Mirabella

^{57}, P. Monni

^{58}, G. Montagna

^{59}, M. Moretti

^{60}, P. Nadolsky

^{61}, P. Nason

^{62}, O. Nicrosini

^{63}, C. Oleari

^{64}, G. Ossola

^{65}, S. Padhi

^{66}, T. Peraro

^{67}, F. Piccinini

^{68}, S. Plätzer

^{69}, S. Prestel

^{70}, J. Pumplin

^{71}, K. Rabbertz

^{72}, Voica Radescu

^{73}, L. Reina

^{74}, C. Reuschle

^{75}, J. Rojo

^{76}, M. Schönherr

^{77}, J. M. Smillie

^{78}, J. F. von Soden-Fraunhofen

^{79}, G. Soyez

^{80}, R. Thorne, F. Tramontano, Z. Trocsanyi, D. Wackeroth, J. Winter, C-P. Yuan, V. Yundin, K. Zapp

**Affiliations:**

^{1}conveners,

^{2}conveners,

^{3}conveners,

^{4}conveners,

^{5}conveners,

^{6}conveners,

^{7}conveners,

^{8}conveners,

^{9}conveners,

^{10}conveners,

^{11}conveners,

^{12}conveners,

^{13}conveners,

^{14}conveners,

^{15}conveners,

^{16}conveners,

^{17}conveners,

^{18}conveners,

^{19}conveners,

^{20}conveners,

^{21}conveners,

^{22}conveners,

^{23}conveners,

^{24}conveners,

^{25}conveners,

^{26}conveners,

^{27}conveners,

^{28}conveners,

^{29}conveners,

^{30}conveners,

^{31}conveners,

^{32}conveners,

^{33}conveners,

^{34}conveners,

^{35}conveners,

^{36}conveners,

^{37}conveners,

^{38}conveners,

^{39}conveners,

^{40}conveners,

^{41}conveners,

^{42}conveners,

^{43}conveners,

^{44}conveners,

^{45}conveners,

^{46}conveners,

^{47}conveners,

^{48}conveners,

^{49}conveners,

^{50}conveners,

^{51}conveners,

^{52}conveners,

^{53}conveners,

^{54}conveners,

^{55}conveners,

^{56}conveners,

^{57}conveners,

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^{74}conveners,

^{75}conveners,

^{76}conveners,

^{77}conveners,

^{78}conveners,

^{79}conveners,

^{80}conveners

**Category:**High Energy Physics - Phenomenology

This Report summarizes the proceedings of the 2013 Les Houches workshop on Physics at TeV Colliders. Session 1 dealt primarily with (1) the techniques for calculating standard model multi-leg NLO and NNLO QCD and NLO EW cross sections and (2) the comparison of those cross sections with LHC data from Run 1, and projections for future measurements in Run 2. Read More

We compute the full set of two-loop Feynman integrals appearing in massless two-loop four-point functions with two off-shell legs with the same invariant mass. These integrals allow to determine the two-loop corrections to the amplitudes for vector boson pair production at hadron colliders, $q \bar{q} \to V V$, and thus to compute this process to next-to-next-to-leading order accuracy in QCD. The master integrals are derived using the method of differential equations, employing a canonical basis for the integrals. Read More

We describe the perturbative calculation of the transverse parton distribution functions in all partonic channels up to next-to-next-to-leading order based on a gauge invariant operator definition. We demonstrate the cancellation of light-cone divergences and show that universal process-independent transverse parton distribution functions can be obtained through a refactorization. Our results serve as the first explicit higher-order calculation of these functions starting from first principles, and can be used to perform next-to-next-to-next-to-leading logarithmic $q_T$ resummation for a large class of processes at hadron colliders. Read More

We present the cross-section for the threshold production of the Higgs boson at hadron-colliders at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD. We present an analytic expression for the partonic cross-section at threshold and the impact of these corrections on the numerical estimates for the hadronic cross-section at the LHC. With this result we achieve a major milestone towards a complete evaluation of the cross-section at N3LO which will reduce the theoretical uncertainty in the determination of the strengths of the Higgs boson interactions. Read More

The program EERAD3 computes the parton-level QCD contributions to event shapes and jet rates in electron-positron annihilation through to order $\alpha_s^3$. For three-jet production and related observables, this corresponds to next-to-next-to-leading order corrections, and allows for precision QCD studies. We describe the program and its usage in detail. Read More

We study the application of the Brodsky-Lepage-Mackenzie (BLM) scale setting prescription to event shape distributions in electron-positron collisions. The renormalization scale is set dynamically according to the BLM method. We study NLO predictions and we discuss extensions of the prescription to NNLO. Read More

We present a perturbative calculation of the transverse parton distribution functions in all partonic channels up to next-to-next-to-leading order based on a gauge invariant operator definition. We demonstrate for the first time that such a definition works beyond the first non-trivial order. We extract the coefficient functions relevant for a next-to-next-to-next-to-leading logarithmic $q_T$ resummation in a large class of processes at hadron colliders. Read More

In this talk we present the calculation of next-to-next-to-leading order (NNLO) QCD corrections to dijet production and related observables at hadron colliders in the purely gluonic channel. Results for this channel are obtained keeping all orders of $N_C$ in the colour expansion. We show that the NNLO correction significantly reduces the scale uncertainty compared to next-to-leading order (NLO). Read More

We present the next-to-leading order QCD corrections to the production of a photon pair in association with one or two jets. This class of processes constitutes an important background for Higgs physics at the LHC. For the one jet process we include photon fragmentation contributions and perform a comparison between different photon isolation criteria and various isolation parameters. Read More

The soft current describes the factorization behavior of quantum chromodynamics (QCD) scattering amplitudes in the limit of vanishing energy of one of the external partons. It is process-independent and can be expanded in a perturbative series in the coupling constant. To all orders in the dimensional regularization parameter, we compute the two-loop correction to the soft current for processes involving two hard partons. Read More

We calculate the two-loop corrections to heavy-quark pair production in the gluon fusion channel which arise from diagrams involving a closed light-quark loop. The calculation is carried out by keeping the exact dependence on the heavy-quark mass. The analytic results are written in terms of logarithms, classical polylogarithms Li_n (n=2,3,4), and genuine multiple polylogarithms Li_{2,2}. Read More

**Authors:**Christian Bauer, Zvi Bern, Radja Boughezal, John Campbell, Neil Christensen, Lance Dixon, Thomas Gehrmann, Stefan Hoeche, Junichi Kanzaki, Alexander Mitov, Pavel Nadolsky, Fredrick Olness, Michael Peskin, Frank Petriello, Stefano Pozzorini, Laura Reina, Frank Siegert, Doreen Wackeroth, Jonathan Walsh, Ciaran Williams, Markus Wobisch

**Category:**High Energy Physics - Phenomenology

We present a study on high-performance computing and large-scale distributed computing for perturbative QCD calculations. Read More

We compute the cross section for the production of a high-mass photon pair in association with two hadronic jets to next-to-leading order (NLO) in quantum chromodynamics (QCD). Our results allow for the first time to reliably predict the absolute normalisation of this process, and demonstrate that the shape of important kinematical distributions is modified by higher-order effects. The perturbative corrections will be an important ingredient to precision studies of Higgs boson properties from its production in association with two jets. Read More

The production of a single top quark in association with an isolated photon probes the electromagnetic coupling structure of the top quark. We investigate the sensitivity of kinematical distributions at the LHC in single-top-plus-photon production in view of a detection of anomalous electric and magnetic dipole moments of the top quark. Read More

The two-loop QCD corrections to vector boson pair production at hadron colliders involve a new class of Feynman integrals: two-loop four-point functions with two off-shell external legs. We describe their reduction to a small set of master integrals by solving linear relations among them. We then use differential equations in the external invariants to compute all master integrals that are relevant to planar Feynman amplitudes. Read More

We present the NLO QCD corrections to diphoton plus jet production at hadron colliders. Our calculation includes contributions from the fragmentation of a hadronic jet into a highly energetic photon, and consequently allows the implementation of arbitrary infrared-safe photon isolation definitions. We compare different photon isolation criteria and perform a detailed study of the dependence of the diphoton plus jet cross section on the photon isolation parameters. Read More

We compute the helicity amplitudes for the processes $gg\to Zg$ and $gg\to Z\gamma$ to two loops in massless QCD. The perturbative expansion of these processes starts only at the one-loop level, such that our results are a crucial ingredient to the NLO corrections to $Z\gamma$ and $Z+$jet production through gluon fusion. Read More

We report the calculation of next-to-next-to-leading order (NNLO) QCD corrections in the purely gluonic channel to dijet production and related observables at hadron colliders. Our result represents the first NNLO calculation of a massless jet observable at hadron colliders, and opens the path towards precision QCD phenomenology with the LHC. Read More

**Authors:**J. L. Abelleira Fernandez, C. Adolphsen, P. Adzic, A. N. Akay, H. Aksakal, J. L. Albacete, B. Allanach, S. Alekhin, P. Allport, V. Andreev, R. B. Appleby, E. Arikan, N. Armesto, G. Azuelos, M. Bai, D. Barber, J. Bartels, O. Behnke, J. Behr, A. S. Belyaev, I. Ben-Zvi, N. Bernard, S. Bertolucci, S. Bettoni, S. Biswal, J. Blümlein, H. Böttcher, A. Bogacz, C. Bracco, J. Bracinik, G. Brandt, H. Braun, S. Brodsky, O. Brüning, E. Bulyak, A. Buniatyan, H. Burkhardt, I. T. Cakir, O. Cakir, R. Calaga, A. Caldwell, V. Cetinkaya, V. Chekelian, E. Ciapala, R. Ciftci, A. K. Ciftci, B. A. Cole, J. C. Collins, O. Dadoun, J. Dainton, A. De. Roeck, D. d'Enterria, P. DiNezza, M. D'Onofrio, A. Dudarev, A. Eide, R. Enberg, E. Eroglu, K. J. Eskola, L. Favart, M. Fitterer, S. Forte, A. Gaddi, P. Gambino, H. García Morales, T. Gehrmann, P. Gladkikh, C. Glasman, A. Glazov, R. Godbole, B. Goddard, T. Greenshaw, A. Guffanti, V. Guzey, C. Gwenlan, T. Han, Y. Hao, F. Haug, W. Herr, A. Hervé, B. J. Holzer, M. Ishitsuka, M. Jacquet, B. Jeanneret, E. Jensen, J. M. Jimenez, J. M. Jowett, H. Jung, H. Karadeniz, D. Kayran, A. Kilic, K. Kimura, R. Klees, M. Klein, U. Klein, T. Kluge, F. Kocak, M. Korostelev, A. Kosmicki, P. Kostka, H. Kowalski, M. Kraemer, G. Kramer, D. Kuchler, M. Kuze, T. Lappi, P. Laycock, E. Levichev, S. Levonian, V. N. Litvinenko, A. Lombardi, J. Maeda, C. Marquet, B. Mellado, K. H. Mess, A. Milanese, J. G. Milhano, S. Moch, I. I. Morozov, Y. Muttoni, S. Myers, S. Nandi, Z. Nergiz, P. R. Newman, T. Omori, J. Osborne, E. Paoloni, Y. Papaphilippou, C. Pascaud, H. Paukkunen, E. Perez, T. Pieloni, E. Pilicer, B. Pire, R. Placakyte, A. Polini, V. Ptitsyn, Y. Pupkov, V. Radescu, S. Raychaudhuri, L. Rinolfi, E. Rizvi, R. Rohini, J. Rojo, S. Russenschuck, M. Sahin, C. A. Salgado, K. Sampei, R. Sassot, E. Sauvan, M. Schaefer, U. Schneekloth, T. Schörner-Sadenius, D. Schulte, A. Senol, A. Seryi, P. Sievers, A. N. Skrinsky, W. Smith, D. South, H. Spiesberger, A. M. Stasto, M. Strikman, M. Sullivan, S. Sultansoy, Y. P. Sun, B. Surrow, L. Szymanowski, P. Taels, I. Tapan, T. Tasci, E. Tassi, H. Ten. Kate, J. Terron, H. Thiesen, L. Thompson, P. Thompson, K. Tokushuku, R. Tomás García, D. Tommasini, D. Trbojevic, N. Tsoupas, J. Tuckmantel, S. Turkoz, T. N. Trinh, K. Tywoniuk, G. Unel, T. Ullrich, J. Urakawa, P. VanMechelen, A. Variola, R. Veness, A. Vivoli, P. Vobly, J. Wagner, R. Wallny, S. Wallon, G. Watt, C. Weiss, U. A. Wiedemann, U. Wienands, F. Willeke, B. -W. Xiao, V. Yakimenko, A. F. Zarnecki, Z. Zhang, F. Zimmermann, R. Zlebcik, F. Zomer

The present note relies on the recently published conceptual design report of the LHeC and extends the first contribution to the European strategy debate in emphasising the role of the LHeC to complement and complete the high luminosity LHC programme. The brief discussion therefore focuses on the importance of high precision PDF and $\alpha_s$ determinations for the physics beyond the Standard Model (GUTs, SUSY, Higgs). Emphasis is also given to the importance of high parton density phenomena in nuclei and their relevance to the heavy ion physics programme at the LHC. Read More

**Authors:**J. L. Abelleira Fernandez, C. Adolphsen, P. Adzic, A. N. Akay, H. Aksakal, J. L. Albacete, B. Allanach, S. Alekhin, P. Allport, V. Andreev, R. B. Appleby, E. Arikan, N. Armesto, G. Azuelos, M. Bai, D. Barber, J. Bartels, O. Behnke, J. Behr, A. S. Belyaev, I. Ben-Zvi, N. Bernard, S. Bertolucci, S. Bettoni, S. Biswal, J. Blümlein, H. Böttcher, A. Bogacz, C. Bracco, J. Bracinik, G. Brandt, H. Braun, S. Brodsky, O. Brüning, E. Bulyak, A. Buniatyan, H. Burkhardt, I. T. Cakir, O. Cakir, R. Calaga, A. Caldwell, V. Cetinkaya, V. Chekelian, E. Ciapala, R. Ciftci, A. K. Ciftci, B. A. Cole, J. C. Collins, O. Dadoun, J. Dainton, A. De. Roeck, D. d'Enterria, P. DiNezza, M. D'Onofrio, A. Dudarev, A. Eide, R. Enberg, E. Eroglu, K. J. Eskola, L. Favart, M. Fitterer, S. Forte, A. Gaddi, P. Gambino, H. García Morales, T. Gehrmann, P. Gladkikh, C. Glasman, A. Glazov, R. Godbole, B. Goddard, T. Greenshaw, A. Guffanti, V. Guzey, C. Gwenlan, T. Han, Y. Hao, F. Haug, W. Herr, A. Hervé, B. J. Holzer, M. Ishitsuka, M. Jacquet, B. Jeanneret, E. Jensen, J. M. Jimenez, J. M. Jowett, H. Jung, H. Karadeniz, D. Kayran, A. Kilic, K. Kimura, R. Klees, M. Klein, U. Klein, T. Kluge, F. Kocak, M. Korostelev, A. Kosmicki, P. Kostka, H. Kowalski, M. Kraemer, G. Kramer, D. Kuchler, M. Kuze, T. Lappi, P. Laycock, E. Levichev, S. Levonian, V. N. Litvinenko, A. Lombardi, J. Maeda, C. Marquet, B. Mellado, K. H. Mess, A. Milanese, J. G. Milhano, S. Moch, I. I. Morozov, Y. Muttoni, S. Myers, S. Nandi, Z. Nergiz, P. R. Newman, T. Omori, J. Osborne, E. Paoloni, Y. Papaphilippou, C. Pascaud, H. Paukkunen, E. Perez, T. Pieloni, E. Pilicer, B. Pire, R. Placakyte, A. Polini, V. Ptitsyn, Y. Pupkov, V. Radescu, S. Raychaudhuri, L. Rinolfi, E. Rizvi, R. Rohini, J. Rojo, S. Russenschuck, M. Sahin, C. A. Salgado, K. Sampei, R. Sassot, E. Sauvan, M. Schaefer, U. Schneekloth, T. Schörner-Sadenius, D. Schulte, A. Senol, A. Seryi, P. Sievers, A. N. Skrinsky, W. Smith, D. South, H. Spiesberger, A. M. Stasto, M. Strikman, M. Sullivan, S. Sultansoy, Y. P. Sun, B. Surrow, L. Szymanowski, P. Taels, I. Tapan, T. Tasci, E. Tassi, H. Ten. Kate, J. Terron, H. Thiesen, L. Thompson, P. Thompson, K. Tokushuku, R. Tomás García, D. Tommasini, D. Trbojevic, N. Tsoupas, J. Tuckmantel, S. Turkoz, T. N. Trinh, K. Tywoniuk, G. Unel, T. Ullrich, J. Urakawa, P. VanMechelen, A. Variola, R. Veness, A. Vivoli, P. Vobly, J. Wagner, R. Wallny, S. Wallon, G. Watt, C. Weiss, U. A. Wiedemann, U. Wienands, F. Willeke, B. -W. Xiao, V. Yakimenko, A. F. Zarnecki, Z. Zhang, F. Zimmermann, R. Zlebcik, F. Zomer

This document provides a brief overview of the recently published report on the design of the Large Hadron Electron Collider (LHeC), which comprises its physics programme, accelerator physics, technology and main detector concepts. The LHeC exploits and develops challenging, though principally existing, accelerator and detector technologies. This summary is complemented by brief illustrations of some of the highlights of the physics programme, which relies on a vastly extended kinematic range, luminosity and unprecedented precision in deep inelastic scattering. Read More

We use the antenna subtraction method to isolate the double virtual infrared singularities present in gluonic scattering amplitudes at next-to-next-to-leading order. In previous papers, we derived the subtraction terms that rendered (a) the double real radiation tree-level process finite in the single and double unresolved regions of phase space and (b) the mixed single real radiation one-loop process both finite and well behaved in the unresolved regions of phase space. Here, we show how to construct the double virtual subtraction term using antenna functions with both initial- and final-state partons which remove the explicit infrared poles present in the two-loop amplitude. Read More

In the context of the dispersive model for non-perturbative corrections, we extend the leading renormalon subtraction to NNLO for the thrust distribution in $e^+e^-$ annihilation. Within this framework, using a NNLL+NNLO perturbative description and including bottom quark mass effects to NLO, we analyse data in the centre-of-mass energy range $\sqrt{s}=14-206$ GeV in view of a simultaneous determination of the strong coupling constant and the non-perturbative parameter $\alpha_0$. The fits are performed by matching the resummed and fixed-order predictions both in the R and the log-R matching schemes. Read More

We present a calculation of the perturbative quark-to-quark transverse parton distribution function at next-to-next-to-leading order based on a gauge invariant operator definition. We demonstrate for the first time that such a definition works beyond the first non-trivial order. We extract from our calculation the coefficient functions relevant for a next-to-next-to-next-to-leading logarithmic $Q_T$ resummation in a large class of processes at hadron colliders. Read More

The antenna subtraction method handles real radiation contributions in higher order corrections to jet observables. The method is based on antenna functions, which encapsulate all unresolved radiation between a pair of hard radiator partons. To apply this method to compute hadron collider observables, initial-initial antenna functions with both radiators in the initial state are required in unintegrated and integrated forms. Read More