# F. Caola - DESY, University Antwerp

## Publications Authored By F. Caola

We discuss a modification of the next-to-next-to-leading order (NNLO) subtraction scheme based on the residue-improved sector decomposition that reduces the number of double-real emission sectors from five to four. In particular, a sector where energies and angles of unresolved particles vanish in a correlated fashion is redundant and can be discarded. This simple observation allows us to formulate a transparent iterative subtraction procedure for double-real emission contributions, to demonstrate the cancellation of soft and collinear singularities in an explicit and (almost) process-independent way and to write the result of a NNLO calculation in terms of quantities that can be computed in four space-time dimensions. 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}

**Affiliations:**

^{1}eds.,

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

^{11}The LHC Higgs Cross Section Working Group,

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^{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

We present a calculation of the next-to-leading order (NLO) QCD corrections to the hadroproduction process $gg\to ZZ \to e^+e^- \mu^+ \mu^-$, matched to the parton shower in the POWHEG framework. We take advantage of the POWHEG BOX tool for the implementation and rely on PYTHIA 8 for the showering and hadronization stages. We fully include $\gamma^*/Z$ interference effects, while also covering the single-resonant region. Read More

**Authors:**M. L. Mangano, G. Zanderighi, J. A. Aguilar Saavedra, S. Alekhin, S. Badger, C. W. Bauer, T. Becher, V. Bertone, M. Bonvini, S. Boselli, E. Bothmann, R. Boughezal, M. Cacciari, C. M. Carloni Calame, F. Caola, J. M. Campbell, S. Carrazza, M. Chiesa, L. Cieri, F. Cimaglia, F. Febres Cordero, P. Ferrarese, D. D'Enterria, G. Ferrera, X. Garcia i Tormo, M. V. Garzelli, E. Germann, V. Hirschi, T. Han, H. Ita, B. Jäger, S. Kallweit, A. Karlberg, S. Kuttimalai, F. Krauss, A. J. Larkoski, J. Lindert, G. Luisoni, P. Maierhöfer, O. Mattelaer, H. Martinez, S. Moch, G. Montagna, M. Moretti, P. Nason, O. Nicrosini, C. Oleari, D. Pagani, A. Papaefstathiou, F. Petriello, F. Piccinini, M. Pierini, T. Pierog, S. Pozzorini, E. Re, T. Robens, J. Rojo, R. Ruiz, K. Sakurai, G. P. Salam, L. Salfelder, M. Schönherr, M. Schulze, S. Schumann, M. Selvaggi, A. Shivaji, A. Siodmok, P. Skands, P. Torrielli, F. Tramontano, I. Tsinikos, B. Tweedie, A. Vicini, S. Westhoff, M. Zaro, D. Zeppenfeld

This report summarises the properties of Standard Model processes at the 100 TeV pp collider. We document the production rates and typical distributions for a number of benchmark Standard Model processes, and discuss new dynamical phenomena arising at the highest energies available at this collider. We discuss the intrinsic physics interest in the measurement of these Standard Model processes, as well as their role as backgrounds for New Physics searches. Read More

**Authors:**R. Contino, D. Curtin, A. Katz, M. L. Mangano, G. Panico, M. J. Ramsey-Musolf, G. Zanderighi, C. Anastasiou, W. Astill, G. Bambhaniya, J. K. Behr, W. Bizon, P. S. Bhupal Dev, D. Bortoletto, D. Buttazzo, Q. -H. Cao, F. Caola, J. Chakrabortty, C. -Y. Chen, S. -L. Chen, D. de Florian, F. Dulat, C. Englert, J. A. Frost, B. Fuks, T. Gherghetta, G. Giudice, J. Gluza, N. Greiner, H. Gray, N. P. Hartland, C. Issever, T. Jelinski, A. Karlberg, J. H. Kim, F. Kling, A. Lazopoulos, S. J. Lee, Y. Liu, G. Luisoni, J. Mazzitelli, B. Mistlberger, P. Monni, K. Nikolopoulos, R. N. Mohapatra, A. Papaefstathiou, M. Perelstein, F. Petriello, T. Plehn, P. Reimitz, J. Ren, J. Rojo, K. Sakurai, T. Schell, F. Sala, M. Selvaggi, H. -S. Shao, M. Son, M. Spannowsky, T. Srivastava, S. -F. Su, R. Szafron, T. Tait, A. Tesi, A. Thamm, P. Torrielli, F. Tramontano, J. Winter, A. Wulzer, Q. -S. Yan, W. M. Yao, Y. -C. Zhang, X. Zhao, Z. Zhao, Y. -M. Zhong

This report summarises the physics opportunities for the study of Higgs bosons and the dynamics of electroweak symmetry breaking at the 100 TeV pp collider. Read More

We apply the leading-log high-energy resummation technique recently derived by some of us to the transverse momentum (pt) distribution for production of a Higgs boson in gluon fusion. We use our results to obtain information on mass-dependent corrections to this observable, which is only known at leading order when exact mass dependence is included. In the low pt region we discuss the all-order exponentiation of collinear bottom mass logarithms. Read More

We compute next-to-leading order (NLO) QCD corrections to the production of two massive electroweak bosons in gluon fusion. We consider both the prompt production process $gg \to VV$ and the production mediated by an exchange of an s-channel Higgs boson, $gg \to H^* \to V V$. We include final states with both on- and off-shell vector bosons with leptonic decays. Read More

We compute the next-to-leading order (NLO) QCD corrections to the $gg \to W^+ W^- \to l^+_1 \nu_1 l^-_2 \bar \nu_2$ process, mediated by a massless quark loop, at the LHC. This process first contributes to the hadroproduction of $W^+W^-$ at $\mathcal{O}(\alpha_s^2)$, but, nevertheless, has a sizable impact on the total production rate. We find that the NLO QCD corrections to the $gg \to W^+W^-$ process amount to ${\cal O}(50)$%, and increase the NNLO QCD cross sections of $pp \to W^+W^-$ by approximately two percent, at both the 8 TeV and 13 TeV LHC. Read More

We present new results for the jet-veto efficiency and zero-jet cross section in Higgs production through gluon fusion. We incorporate the N$^3$LO corrections to the total cross section, the NNLO corrections to the 1-jet rate, NNLL resummation for the jet $p_t$ and LL resummation for the jet radius dependence. Our results include known finite-mass corrections and are obtained using the jet-veto efficiency method, updated relative to earlier work to take into account what has been learnt from the new precision calculations that we include. Read More

We compute the next-to-leading order QCD corrections to the production of two Z-bosons in the annihilation of two gluons at the LHC. Being enhanced by a large gluon flux, these corrections provide distinct and, potentially, the dominant part of the N$^3$LO QCD contributions to Z-pair production in proton collisions. The $gg \to ZZ$ annihilation is a loop-induced process that receives the dominant contribution from loops of five light quarks, that are included in our computation in the massless approximation. Read More

We extend the recent computation of Higgs boson production in association with a jet through next-to-next-to-leading order in perturbative QCD by including decays of the Higgs boson to electroweak vector bosons. This allows us to compute fiducial cross sections and kinematic distributions including realistic selection criteria for the Higgs boson decay products. As an illustration, we present results for $pp \to H + j \to \gamma \gamma + j$ closely following the ATLAS 8 TeV analysis and for $pp \to H+ j \to W W + j \to e^+ \mu^- \nu \bar \nu + j $ in a CMS-like 13 TeV setup. Read More

We present precise predictions for Higgs boson production in association with a jet. Our calculation is accurate to next-to-next-to-leading order (NNLO) QCD in the Higgs Effective Field Theory and constitutes the first complete NNLO computation for Higgs production with a final-state jet in hadronic collisions. We include all relevant phenomenological channels and present fully-differential results as well as total cross sections for the LHC. Read More

We compute the part of the two-loop virtual amplitude for the process $gg \to V_1 V_2 \to (l_1 \bar l'_{1}) (l_2 \bar l'_2)$, where $V_{1,2}$ are arbitrary electroweak gauge bosons, that receives contributions from loops of massless quarks. Invariant masses of electroweak bosons are allowed to be different from each other. Our result provides an important ingredient for improving the description of gluon fusion contribution to the production of four-lepton final states at the LHC. Read More

Knowledge of two-loop QCD amplitudes for processes $q\bar q \to V_1 V_2 \to (l_1\bar l'_1)(l_2 \bar l'_2)$ is important for improving the theoretical description of four-lepton production in hadron collisions. In this paper we compute these helicity amplitudes for all intermediate vector bosons, $V_1 V_2 = \gamma^*\gamma^*, WW, ZZ, WZ, W \gamma^*$, including off-shell effects and decays to leptons. Read More

We present a fully-differential calculation of the NNLO QCD corrections to the t-channel mechanism for producing single top quarks at the LHC. We work in the structure function approximation, computing QCD corrections to the light- and heavy-quark lines separately and neglecting the dynamical cross-talk between the two. The neglected contribution, which appears at NNLO for the first time, is color-suppressed and is expected to be sub-dominant. Read More

We present the calculation of all non-planar master integrals that are needed to describe production of two off-shell vector bosons in collisions of two massless partons through NNLO in perturbative QCD. The integrals are computed analytically using differential equations in external kinematic variables and expressed in terms of Goncharov polylogarithms. These results provide the last missing ingredient needed for the computation of two-loop amplitudes that describe the production of two gauge bosons with different invariant masses in hadron collisions. Read More

We compute the spin asymmetry of the muon decay through O(alpha^2) in perturbative QED. These two-loop corrections are about a factor five (twenty) smaller than the current statistical (systematic) uncertainty of the most precise measurement, performed by the TWIST collaboration. We point out that at O(alpha^2) the asymmetry requires a careful definition due to multi-lepton final states and suggest to use familiar QCD techniques to define it in an infra-red safe way. Read More

In this paper, we study the extent to which CP parity of a Higgs boson, and more generally its anomalous couplings to gauge bosons, can be measured at the LHC and a future electron-positron collider. We consider several processes, including Higgs boson production in gluon and weak boson fusion and production of a Higgs boson in association with an electroweak gauge boson. We consider decays of a Higgs boson including $ZZ, WW, \gamma \gamma$, and $Z \gamma$. Read More

We point out that existing measurements of $pp \to ZZ$ cross-section at the LHC in a broad range of ZZ invariant masses allow one to derive a model-independent upper bound on the Higgs boson width, thanks to strongly enhanced off-shell Higgs contribution. Using CMS data and considering events in the interval of ZZ invariant masses from 100 to 800 GeV, we find $\Gamma_H \le 38.8 \times \Gamma_H^{SM} \approx 163$ MeV, at the $95\%$ confidence level. Read More

**Authors:**The LHC Higgs Cross Section Working Group, S. Heinemeyer

^{1}, C. Mariotti

^{2}, G. Passarino

^{3}, R. Tanaka

^{4}, J. R. Andersen, P. Artoisenet, E. A. Bagnaschi, A. Banfi, T. Becher, F. U. Bernlochner, S. Bolognesi, P. Bolzoni, R. Boughezal, D. Buarque, J. Campbell, F. Caola, M. Carena, F. Cascioli, N. Chanon, T. Cheng, S. Y. Choi, A. David, P. de Aquino, G. Degrassi, D. Del Re, A. Denner, H. van Deurzen, S. Diglio, B. Di Micco, R. Di Nardo, S. Dittmaier, M. Duhrssen, R. K. Ellis, G. Ferrera, N. Fidanza, M. Flechl, D. de Florian, S. Forte, R. Frederix, S. Frixione, S. Gangal, Y. Gao, M. V. Garzelli, D. Gillberg, P. Govoni, M. Grazzini, N. Greiner, J. Griffiths, A . V. Gritsan, C. Grojean, D. C. Hall, C. Hays, R. Harlander, R. Hernandez-Pinto, S. Hoche, J. Huston, T. Jubb, M. Kadastik, S. Kallweit, A. Kardos, L. Kashif, N. Kauer, H. Kim, R. Klees, M. Kramer, F. Krauss, A. Laureys, S. Laurila, S. Lehti, Q. Li, S. Liebler, X. Liu, H. E. Logan, G. Luisoni, M. Malberti, F. Maltoni, K. Mawatari, F. Maierhofer, H. Mantler, S. Martin, P. Mastrolia, O. Mattelaer, J. Mazzitelli, B. Mellado, K. Melnikov, P. Meridiani, D. J. Miller, E. Mirabella, S. O. Moch, P. Monni, N. Moretti, A. Muck, M. Muhlleitner, P. Musella, P. Nason, C. Neu, M. Neubert, C. Oleari, J. Olsen, G. Ossola, T. Peraro, K. Peters, F. Petriello, G. Piacquadio, C. T. Potter, S. Pozzorini, K. Prokofiev, I. Puljak, M. Rauch, D. Rebuzzi, L. Reina, R. Rietkerk, A. Rizzi, Y. Rotstein-Habarnau, G. P. Salam, G. Sborlini, F. Schissler, M. Schonherr, M. Schulze, M. Schumacher, F. Siegert, P. Slavich, J. M. Smillie, O. Stal, J. F. von Soden-Fraunhofen, M. Spira, I. W. Stewart, F. J. Tackmann, P. T. E. Taylor, D. Tommasini, J. Thompson, R. S. Thorne, P. Torrielli, F. Tramontano, N. V. Tran, Z. Trocsanyi, M. Ubiali, P. Vanlaer, M. Vazquez Acosta, T. Vickey, A. Vicini, W. J. Waalewijn, D. Wackeroth, C. Wagner, J. R. Walsh, J. Wang, G. Weiglein, A. Whitbeck, C. Williams, J. Yu, G. Zanderighi, M. Zanetti, M. Zaro, P. M. Zerwas, C. Zhang, T. J . E. Zirke, S. Zuberi

**Affiliations:**

^{1}eds.,

^{2}eds.,

^{3}eds.,

^{4}eds.

This Report summarizes the results of the activities in 2012 and the first half of 2013 of the LHC Higgs Cross Section Working Group. 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. This report follows the first working group report Handbook of LHC Higgs Cross Sections: 1. Read More

We study the effect of QCD corrections to the $gg\to H\to W^+ W^-$ signal-background interference at the LHC for a heavy Higgs boson. We construct a soft-collinear approximation to the NLO and NNLO corrections for the background process, which is exactly known only at LO. We estimate its accuracy by constructing and comparing the same approximation to the exact result for the signal process, which is known up to NNLO, and we conclude that we can describe the signal-background interference to better than ten percent accuracy. Read More

We report on a calculation of the cross-section for Higgs boson production in gluon fusion in association with a hadronic jet at next-to-next-to-leading order (NNLO) in perturbative QCD. The computational technique is discussed in detail. We show explicitly how to employ known soft and collinear limits of scattering amplitudes to construct subtraction terms for NNLO computations. Read More

We present $O(\alpha_s^2)$ QCD corrections to the fully-differential decay rate of a $b$-quark into inclusive semileptonic charmless final states. Our calculation provides genuine two-loop QCD corrections, beyond the Brodsky-Lepage-Mackenzie (BLM) approximation, to any infra-red safe partonic observable that can be probed in $b \to X_u e \bar \nu$ decays. Kinematic cuts that closely match those used in experiments can be fully accounted for. Read More

We describe a calculation of the fully-differential decay rate of a top quark to a massless $b$-quark and a lepton pair at next-to-next-to-leading order in perturbative QCD. Technical details of the calculation are discussed and selected results for kinematic distributions are shown. Read More

We discuss QCD radiative corrections to the production of a heavy neutral resonance $Z'$ at the LHC assuming that it decays into a $ t\bar t$ final state. Compared to previous studies, our computation includes top quark decays as well as interference between the $Z'$ signal process and the QCD $t \bar t$ background. The interference contribution appears for the first time at next-to-leading order (NLO) QCD and requires new one-loop amplitudes that are not present when signal and background are treated separately. Read More

We propose a color decomposition for general tree amplitudes in a SU(2) gauge theory which is spontaneously broken via the Higgs mechanism. Working in the unitary gauge, we construct color-ordered amplitudes by explicitly presenting a set of color-ordered Feynman rules. Those primitive amplitudes are gauge-invariant, and they preserve perturbative unitarity in the high-energy limit. Read More

We calculate the production of a W boson in association with up to two jets including at least one b-jet to next-to-leading order (NLO) in QCD at the CERN Large Hadron Collider with 7 TeV center-of-mass energy. Both exclusive and inclusive event cross section and b-jet cross sections are presented. The calculation is performed consistently in the five-flavor-number scheme where both q anti-q' and bq (q =\= b) initiated parton level processes are included at NLO QCD. Read More

We discuss the generalisation of high-energy resummation to rapidity distributions to leading logarithmic accuracy. We test our procedure applying it to Higgs production in gluon-gluon fusion both with finite top mass and in the infinite mass limit. We check that they reproduce the known results at fixed order and we estimate finite top mass corrections to the NLO distribution. Read More

We compute the leading logarithmic behaviour of the cross-section for the production of a pseudoscalar Higgs boson in gluon-gluon fusion to all-orders in perturbation theory, in the limit of large partonic centre of mass energy. We also calculate the Higgs rapidity distribution to the same accuracy. We include the contributions of top and bottom quarks, together with their interference. Read More

We provide a method for the all order computation of small x contributions at the leading logarithmic level to cross-sections which are differential in rapidity. The method is based on a generalization to rapidity distributions of the high energy (or k_T) factorization theorem hitherto proven for inclusive cross-sections. We apply the method to Higgs production in gluon-gluon fusion, both with finite top mass and in the infinite mass limit: in both cases, we determine all-order resummed expressions, as well as explicit expressions for the leading small x terms up to NNLO. Read More

We examine critically the evidence for deviations from next-to-leading order perturbative DGLAP evolution in HERA data. We briefly review the status of perturbative small-x resummation and of global determinations of parton distributions. We show that the geometric scaling properties of HERA data are consistent with DGLAP evolution, which is also strongly supported by the double asymptotic scaling properties of the data. Read More

We search for deviations from next-to-leading order QCD evolution in HERA structure function data. We compare to data predictions for structure functions in the small x region, obtained by evolving backwards to low Q^2 the results of a parton fit performed in the large Q^2 region, where fixed-order perturbative QCD is certainly reliable. We find evidence for deviations which are qualitatively consistent with the behaviour predicted by small x perturbative resummation, and possibly also by nonlinear evolution effects, but incompatible with next-to-next-to leading order corrections. Read More

The proposed Large Hadron Electron Collider (LHeC) at CERN would bring Deep-Inelastic scattering into the unexplored TeV regime. The LHeC rich physics program, among other topics, includes both precision SM measurements to complement LHC physics as well as studies of QCD in the high energy limit. The present contribution reports on ongoing studies within the NNPDF framework towards the LHeC CDR. Read More

**Authors:**H. Jung

^{1}, A. De Roeck

^{2}, Z. J. Ajaltouni

^{3}, S. Albino

^{4}, G. Altarelli

^{5}, F. Ambroglini

^{6}, J. Anderson

^{7}, G. Antchev

^{8}, M. Arneodo

^{9}, P. Aspell

^{10}, V. Avati

^{11}, M. Bahr

^{12}, A. Bacchetta

^{13}, M. G. Bagliesi

^{14}, R. D. Ball

^{15}, A. Banfi

^{16}, S. Baranov

^{17}, P. Bartalini

^{18}, J. Bartels

^{19}, F. Bechtel

^{20}, V. Berardi

^{21}, M. Berretti

^{22}, G. Beuf

^{23}, M. Biasini

^{24}, I. Bierenbaum

^{25}, J. Blumlein

^{26}, R. E. Blair

^{27}, C. Bombonati

^{28}, M. Boonekamp

^{29}, U. Bottigli

^{30}, S. Boutle

^{31}, M. Bozzo

^{32}, E. Brucken

^{33}, J. Bracinik

^{34}, A. Bruni

^{35}, G. E. Bruno

^{36}, A. Buckley

^{37}, A. Bunyatyan

^{38}, H. Burkhardt

^{39}, P. Bussey

^{40}, A. Buzzo

^{41}, M. Cacciari

^{42}, F. Cafagna

^{43}, M. Calicchio

^{44}, F. Caola

^{45}, M. G. Catanesi

^{46}, P. L. Catastini

^{47}, R. Cecchi

^{48}, F. A. Ceccopieri

^{49}, S. Cerci

^{50}, S. Chekanov

^{51}, R. Chierici

^{52}, M. Ciafaloni

^{53}, M. A. Ciocci

^{54}, V. Coco

^{55}, D. Colferai

^{56}, A. Cooper-Sarkar

^{57}, G. Corcella

^{58}, M. Czakon

^{59}, A. Dainese

^{60}, M. Dasgupta

^{61}, M. Deak

^{62}, M. Deile

^{63}, P. A. Delsart

^{64}, L. Del Debbio

^{65}, A. de Roeck

^{66}, C. Diaconu

^{67}, M. Diehl

^{68}, E. Dimovasili

^{69}, M. Dittmar

^{70}, I. M. Dremin

^{71}, K. Eggert

^{72}, R. Engel

^{73}, V. Eremin

^{74}, S. Erhan

^{75}, C. Ewerz

^{76}, L. Fano

^{77}, J. Feltesse

^{78}, G. Ferrera

^{79}, F. Ferro

^{80}, R. Field

^{81}, S. Forte

^{82}, F. Garcia

^{83}, A. Geiser

^{84}, F. Gelis

^{85}, S. Giani

^{86}, S. Gieseke

^{87}, M. A. Gigg

^{88}, A. Glazov

^{89}, K. Golec-Biernat

^{90}, K. Goulianos

^{91}, J. Grebenyuk

^{92}, V. Greco

^{93}, D. Grellscheid

^{94}, G. Grindhammer

^{95}, M. Grothe

^{96}, A. Guffanti

^{97}, C. Gwenlan

^{98}, V. Halyo

^{99}, K. Hamilton

^{100}, F. Hautmann

^{101}, J. Heino

^{102}, G. Heinrich

^{103}, T. Hilden

^{104}, K. Hiller

^{105}, J. Hollar

^{106}, X. Janssen

^{107}, S. Joseph

^{108}, A. W. Jung

^{109}, H. Jung

^{110}, V. Juranek, J. Kaspar, O. Kepka, V. A. Khoze, Ch. Kiesling, M. Klasen, S. Klein, B. A. Kniehl, A. Knutsson, J. Kopal, G. Kramer, F. Krauss, V. Kundrat, K. Kurvinen, K. Kutak, L. Lonnblad, S. Lami, G. Latino, J. I. Latorre, O. Latunde-Dada, R. Lauhakangas, V. Lendermann, P. Lenzi, G. Li, A. Likhoded, A. Lipatov, E. Lippmaa, M. Lokajicek, M. Lo Vetere, F. Lucas Rodriguez, G. Luisoni, E. Lytken, K. Muller, M. Macri, G. Magazzu, A. Majhi, S. Majhi, P. Marage, L. Marti, A. D. Martin, M. Meucci, D. A. Milstead, S. Minutoli, A. Nischke, A. Moares, S. Moch, L. Motyka, T. Namsoo, P. Newman, H. Niewiadomski, C. Nockles, E. Noschis, G. Notarnicola, J. Nystrand, E. Oliveri, F. Oljemark, K. Osterberg, R. Orava, M. Oriunno, S. Osman, S. Ostapchenko, P. Palazzi, E. Pedreschi, A. V. Pereira, H. Perrey, J. Petajajarvi, T. Petersen, A. Piccione, T. Pierog, J. L. Pinfold, O. I. Piskounova, S. Platzer, M. Quinto, Z. Rurikova, E. Radermacher, V. Radescu, E. Radicioni, F. Ravotti, G. Rella, P. Richardson, E. Robutti, G. Rodrigo, E. Rodrigues, M. Rogal, T. C. Rogers, J. Rojo, P. Roloff, L. Ropelewski, C. Rosemann, Ch. Royon, G. Ruggiero, A. Rummel, M. Ruspa, M. G. Ryskin, D. Salek, W. Slominski, H. Saarikko, A. Sabio Vera, T. Sako, G. P. Salam, V. A. Saleev, C. Sander, G. Sanguinetti, A. Santroni, Th. Schorner-Sadenius, R. Schicker, I. Schienbein, W. B. Schmidke, F. Schwennsen, A. Scribano, G. Sette, M. H. Seymour, A. Sherstnev, T. Sjostrand, W. Snoeys, G. Somogyi, L. Sonnenschein, G. Soyez, H. Spiesberger, F. Spinella, P. Squillacioti, A. M. Stasto, A. Starodumov, H. Stenzel, Ph. Stephens, A. Ster, D. Stocco, M. Strikman, C. Taylor, T. Teubner, R. S. Thorne, Z. Trocsanyi, M. Treccani, D. Treleani, L. Trentadue, A. Trummal, J. Tully, W. K. Tung, M. Turcato, N. Turini, M. Ubiali, A. Valkarova, A. van Hameren, P. Van Mechelen, J. A. M. Vermaseren, A. Vogt, B. F. L. Ward, G. Watt, B. R. Webber, Ch. Weiss, Ch. White, J. Whitmore, R. Wolf, J. Wu, A. Yagues-Molina, S. A. Yost, G. Zanderighi, N. Zotov, M. zur Nedden

**Affiliations:**

^{1}DESY, U. Antwerp,

^{2}CERN, U. Antwerp,

^{3}DESY, U. Antwerp,

^{4}DESY, U. Antwerp,

^{5}DESY, U. Antwerp,

^{6}DESY, U. Antwerp,

^{7}DESY, U. Antwerp,

^{8}DESY, U. Antwerp,

^{9}DESY, U. Antwerp,

^{10}DESY, U. Antwerp,

^{11}DESY, U. Antwerp,

^{12}DESY, U. Antwerp,

^{13}DESY, U. Antwerp,

^{14}DESY, U. Antwerp,

^{15}DESY, U. Antwerp,

^{16}DESY, U. Antwerp,

^{17}DESY, U. Antwerp,

^{18}DESY, U. Antwerp,

^{19}DESY, U. Antwerp,

^{20}DESY, U. Antwerp,

^{21}DESY, U. Antwerp,

^{22}DESY, U. Antwerp,

^{23}DESY, U. Antwerp,

^{24}DESY, U. Antwerp,

^{25}DESY, U. Antwerp,

^{26}DESY, U. Antwerp,

^{27}DESY, U. Antwerp,

^{28}DESY, U. Antwerp,

^{29}DESY, U. Antwerp,

^{30}DESY, U. Antwerp,

^{31}DESY, U. Antwerp,

^{32}DESY, U. Antwerp,

^{33}DESY, U. Antwerp,

^{34}DESY, U. Antwerp,

^{35}DESY, U. Antwerp,

^{36}DESY, U. Antwerp,

^{37}DESY, U. Antwerp,

^{38}DESY, U. Antwerp,

^{39}DESY, U. Antwerp,

^{40}DESY, U. Antwerp,

^{41}DESY, U. Antwerp,

^{42}DESY, U. Antwerp,

^{43}DESY, U. Antwerp,

^{44}DESY, U. Antwerp,

^{45}DESY, U. Antwerp,

^{46}DESY, U. Antwerp,

^{47}DESY, U. Antwerp,

^{48}DESY, U. Antwerp,

^{49}DESY, U. Antwerp,

^{50}DESY, U. Antwerp,

^{51}DESY, U. Antwerp,

^{52}DESY, U. Antwerp,

^{53}DESY, U. Antwerp,

^{54}DESY, U. Antwerp,

^{55}DESY, U. Antwerp,

^{56}DESY, U. Antwerp,

^{57}DESY, U. Antwerp,

^{58}DESY, U. Antwerp,

^{59}DESY, U. Antwerp,

^{60}DESY, U. Antwerp,

^{61}DESY, U. Antwerp,

^{62}DESY, U. Antwerp,

^{63}DESY, U. Antwerp,

^{64}DESY, U. Antwerp,

^{65}DESY, U. Antwerp,

^{66}DESY, U. Antwerp,

^{67}DESY, U. Antwerp,

^{68}DESY, U. Antwerp,

^{69}DESY, U. Antwerp,

^{70}DESY, U. Antwerp,

^{71}DESY, U. Antwerp,

^{72}DESY, U. Antwerp,

^{73}DESY, U. Antwerp,

^{74}DESY, U. Antwerp,

^{75}DESY, U. Antwerp,

^{76}DESY, U. Antwerp,

^{77}DESY, U. Antwerp,

^{78}DESY, U. Antwerp,

^{79}DESY, U. Antwerp,

^{80}DESY, U. Antwerp,

^{81}DESY, U. Antwerp,

^{82}DESY, U. Antwerp,

^{83}DESY, U. Antwerp,

^{84}DESY, U. Antwerp,

^{85}DESY, U. Antwerp,

^{86}DESY, U. Antwerp,

^{87}DESY, U. Antwerp,

^{88}DESY, U. Antwerp,

^{89}DESY, U. Antwerp,

^{90}DESY, U. Antwerp,

^{91}DESY, U. Antwerp,

^{92}DESY, U. Antwerp,

^{93}DESY, U. Antwerp,

^{94}DESY, U. Antwerp,

^{95}DESY, U. Antwerp,

^{96}DESY, U. Antwerp,

^{97}DESY, U. Antwerp,

^{98}DESY, U. Antwerp,

^{99}DESY, U. Antwerp,

^{100}DESY, U. Antwerp,

^{101}DESY, U. Antwerp,

^{102}DESY, U. Antwerp,

^{103}DESY, U. Antwerp,

^{104}DESY, U. Antwerp,

^{105}DESY, U. Antwerp,

^{106}DESY, U. Antwerp,

^{107}DESY, U. Antwerp,

^{108}DESY, U. Antwerp,

^{109}DESY, U. Antwerp,

^{110}DESY, U. Antwerp

**Category:**High Energy Physics - Phenomenology

2nd workshop on the implications of HERA for LHC physics. Working groups: Parton Density Functions Multi-jet final states and energy flows Heavy quarks (charm and beauty) Diffraction Cosmic Rays Monte Carlos and Tools Read More

**Authors:**M. Dittmar

^{1}, S. Forte

^{2}, A. Glazov

^{3}, S. Moch

^{4}, G. Altarelli, J. Anderson, R. D. Ball, G. Beuf, M. Boonekamp, H. Burkhardt, F. Caola, M. Ciafaloni, D. Colferai, A. Cooper-Sarkar, A. de Roeck, L. Del Debbio, J. Feltesse, F. Gelis, J. Grebenyuk, A. Guffanti, V. Halyo, J. I. Latorre, V. Lendermann, Gang Li, L. Motyka, T. Petersen, A. Piccione, V. Radescu, M. Rogal, J. Rojo, C. Royon, G. P. Salam, D. Salek, A. M. Stasto, R. S. Thorne, M. Ubiali, J. A. M. Vermaseren, A. Vogt, G. Watt, C. D. White

**Affiliations:**

^{1}convenors,

^{2}convenors,

^{3}convenors,

^{4}convenors

**Category:**High Energy Physics - Phenomenology

We provide an assessment of the state of the art in various issues related to experimental measurements, phenomenological methods and theoretical results relevant for the determination of parton distribution functions (PDFs) and their uncertainties, with the specific aim of providing benchmarks of different existing approaches and results in view of their application to physics at the LHC. We discuss higher order corrections, we review and compare different approaches to small x resummation, and we assess the possible relevance of parton saturation in the determination of PDFS at HERA and its possible study in LHC processes. We provide various benchmarks of PDF fits, with the specific aim of studying issues of error propagation, non-gaussian uncertainties, choice of functional forms of PDFs, and combination of data from different experiments and different processes. Read More

We show that the geometric scaling of the total virtual photon-proton cross section data can be explained using standard linear GLAP perturbative evolution with generic boundary conditions in a wide kinematic region. This allows us to single out the region where geometric scaling may provide evidence for parton saturation. Read More