# K. Melnikov - Hawaii University

## Contact Details

NameK. Melnikov |
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AffiliationHawaii University |
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CityTempe |
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CountryUnited States |
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## Pubs By Year |
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## External Links |
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## Pub CategoriesHigh Energy Physics - Phenomenology (47) High Energy Physics - Experiment (16) Cosmology and Nongalactic Astrophysics (2) High Energy Physics - Theory (2) Physics - Soft Condensed Matter (2) Nonlinear Sciences - Chaotic Dynamics (1) Physics - Fluid Dynamics (1) |

## Publications Authored By K. Melnikov

We compute next-to-leading order QCD corrections to the top-bottom interference contribution to H+j production at the LHC. To achieve this, we combine the recent computation of the two-loop amplitudes for gg -> Hg and qg -> Hq, performed in the approximation of a small b-quark mass, and the numerical calculation of the squared one-loop amplitudes for gg -> Hgg and qg -> Hqg performed within OpenLoops. We find that QCD corrections to the interference are large and similar to the QCD corrections to the top-mediated Higgs production cross section. Read More

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

We compute the two-loop QCD corrections to $q g \to H q$ and $q \bar{q} \to H g$ amplitudes mediated by loops of nearly massless quarks. These amplitudes provide the last missing ingredient required to compute the NLO QCD corrections to the top-bottom interference contribution to the Higgs boson transverse momentum distribution at hadron colliders. 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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^{323}The LHC Higgs Cross Section Working Group,

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

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^{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,

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^{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,

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

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^{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 compute the two-loop electroweak correction to the production of the Higgs boson in gluon fusion to higher orders in the dimensional-regularization parameter $\epsilon = (d-4)/2$. We employ the method of differential equations to compute the relevant integrals and express them in terms of Goncharov polylogarithms. Our result provides one of the necessary inputs for the computation of mixed three-loop QCD-electroweak corrections to $gg \to H$. Read More

We analytically compute the two-loop scattering amplitude $gg \to Hg$ assuming that the mass of the quark, that mediates the ggH interaction, is vanishingly small. Our computation provides an important ingredient required to improve the theoretical description of the top-bottom interference effect in Higgs boson production in gluon fusion, and to elucidate its impact on the Higgs boson transverse momentum distribution. 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 employ a novel fluid-particle model to study the shearing behavior of granular soils under different saturation levels, ranging from the dry material via the capillary bridge regime to higher saturation levels with percolating clusters. The full complexity of possible liquid morphologies is taken into account, implying the formation of isolated arbitrary-sized liquid clusters with individual Laplace pressures that evolve by liquid exchange via films on the grain surface. Liquid clusters can grow in size, shrink, merge and split, depending on local conditions, changes of accessible liquid and the pore space morphology determined by the granular phase. Read More

Production of Higgs bosons at the LHC is affected by the contribution of light quarks, that mediate the gg \to Hg transition. Although their impact is suppressed by small Yukawa couplings, it is enhanced by large logarithms of the ratio of the Higgs boson mass or its transverse momentum to light quark masses. We study the origin of this enhancement, focusing on the abelian corrections to gg \to Hg amplitudes of the form (C_F alphas L^{2})^n, where $L \in { ln(s/mb^2), ln(p_\perp^2/mb^2) }. Read More

We discuss the computation of the Higgs boson decay amplitude to two photons through the W-loop using dispersion relations. The imaginary part of the form factor F_W(s) that parametrizes this decay is unambiguous in four dimensions. When it is used to calculate the unsubtracted dispersion integral, the finite result for the form factor F_W(s) is obtained. 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 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

We propose a model for increasing liquid saturation in a granular packing which can account for liquid redistribution at saturation levels beyond the well-studied capillary bridge regime. The model is capable of resolving and combining capillary bridges, menisci and fully saturated pores to form local liquid clusters of any shape. They can exchange volume due to the local Laplace pressure gradient via a liquid film on the surfaces of grains. Read More

We compute QCD radiative corrections to the continuum production of a pair of Z-bosons in the annihilation of two gluons. We only consider the contribution of the top quark loops and we treat them assuming that $m_t$ is much larger than any other kinematic invariant in the problem. We estimate the QCD corrections to $pp \to ZZ$ using the first non-trivial term in the expansion in the inverse top quark mass and we compare them to QCD corrections of the signal process, $pp \to H \to ZZ$. 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 calculate the three-loop matching coefficient $C_{HH}$, required for a consistent description of Higgs boson pair production in gluon fusion through next-to-next-to-leading order QCD in the heavy top quark approximation. We also compute the $gg \to HH$ amplitude in $m_t \to \infty$ approximation in the full theory and show its consistency with an earlier computation in heavy-top effective theory. 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

We describe the calculation of all planar master integrals that are needed for the computation of NNLO QCD corrections to the production of two off-shell vector bosons in hadron collisions. The most complicated representatives of integrals in this class are the two-loop four-point functions where two external lines are on the light-cone and two other external lines have different invariant masses. We compute these and other relevant integrals analytically using differential equations in external kinematic variables and express our results in terms of Goncharov polylogarithms. Read More

Recently, the contribution of positronium bound states to the electron anomalous magnetic moment was computed in Refs.[1,2]. It was argued there that this O(alpha^5) contribution is missed if electron g-2 is calculated within conventional perturbative QED and, as such, it must be added to the perturbative five-loop result. Read More

**Authors:**R. Brock, M. E. Peskin, K. Agashe, M. Artuso, J. Campbell, S. Dawson, R. Erbacher, C. Gerber, Y. Gershtein, A. Gritsan, K. Hatakeyama, J. Huston, A. Kotwal, H. Logan, M. Luty, K. Melnikov, M. Narain, M. Papucci, F. Petriello, S. Prell, J. Qian, R. Schwienhorst, C. Tully, R. Van Kooten, D. Wackeroth, L. Wang, D. Whiteson

These reports present the results of the 2013 Community Summer Study of the APS Division of Particles and Fields ("Snowmass 2013") on the future program of particle physics in the U.S. Chapter 3, on the Energy Frontier, discusses the program of research with high-energy colliders. Read More

Higgs boson pair production is considered at next-to-leading order with special emphasis on the effect of a finite top quark mass. It is shown that, unlike for single-Higgs boson production, power-suppressed corrections are numerically important. Read More

**Authors:**K. Agashe, R. Erbacher, C. E. Gerber, K. Melnikov, R. Schwienhorst, A. Mitov, M. Vos, S. Wimpenny, J. Adelman, M. Baumgart, A. Garcia-Bellido, A. Loginov, A. Jung, M. Schulze, J. Shelton, N. Craig, M. Velasco, T. Golling, J. Hubisz, A. Ivanov, M. Perelstein, S. Chekanov, J. Dolen, J. Pilot, R. Pöschl, B. Tweedie, S. Alioli, B. Alvarez-Gonzalez, D. Amidei, T. Andeen, A. Arce, B. Auerbach, A. Avetisyan, M. Backovic, Y. Bai, M. Begel, S. Berge, C. Bernard, C. Bernius, S. Bhattacharya, K. Black, A. Blondel, K. Bloom, T. Bose, J. Boudreau, J. Brau, A. Broggio, G. Brooijmans, E. Brost, R. Calkins, D. Chakraborty, T. Childress, G. Choudalakis, V. Coco, J. S. Conway, C. Degrande, A. Delannoy, F. Deliot, L. Dell'Asta, E. Drueke, B. Dutta, A. Effron, K. Ellis, J. Erdmann, J. Evans, C. Feng, E. Feng, A. Ferroglia, K. Finelli, W. Flanagan, I. Fleck, A. Freitas, F. Garberson, R. Gonzalez Suarez, M. L. Graesser, N. Graf, Z. Greenwood, J. George, C. Group, A. Gurrola, G. Hammad, T. Han, Z. Han, U. Heintz, S. Hoeche, T. Horiguchi, I. Iashvili, A. Ismail, S. Jain, P. Janot, W. Johns, J. Joshi, A. Juste, T. Kamon, C. Kao, Y. Kats, A. Katz, M. Kaur, R. Kehoe, W. Keung, S. Khalil, A. Khanov, A. Kharchilava, N. Kidonakis, C. Kilic, N. Kolev, A. Kotwal, J. Kraus, D. Krohn, M. Kruse, A. Kumar, S. Lee, E. Luiggi, S. Mantry, A. Melo, D. Miller, G. Moortgat-Pick, M. Narain, N. Odell, Y. Oksuzian, M. Oreglia, A. Penin, Y. Peters, C. Pollard, S. Poss, H. B. Prosper S. Rappoccio, S. Redford, M. Reece, F. Rizatdinova, P. Roloff, R. Ruiz, M. Saleem, B. Schoenrock, C. Schwanenberger, T. Schwarz, K. Seidel, E. Shabalina, P. Sheldon, F. Simon, K. Sinha, P. Skands, P. Skubik, G. Sterman, D. Stolarski, J. Strube, J. Stupak, S. Su, M. Tesar, S. Thomas, E. Thompson, P. Tipton, E. Varnes, N. Vignaroli, J. Virzi, M. Vogel, D. Walker, K. Wang, B. Webber, J. D. Wells, S. Westhoff, D. Whiteson, M. Williams, S. Wu, U. Yang, H. Yokoya, H. Yoo, H. Zhang, N. Zhou, H. Zhu, J. Zupan

This report summarizes the work of the Energy Frontier Top Quark working group of the 2013 Community Summer Study (Snowmass). Read More

**Authors:**S. Dawson, A. Gritsan, H. Logan, J. Qian, C. Tully, R. Van Kooten, A. Ajaib, A. Anastassov, I. Anderson, D. Asner, O. Bake, V. Barger, T. Barklow, B. Batell, M. Battaglia, S. Berge, A. Blondel, S. Bolognesi, J. Brau, E. Brownson, M. Cahill-Rowley, C. Calancha-Paredes, C. -Y. Chen, W. Chou, R. Clare, D. Cline, N. Craig, K. Cranmer, M. de Gruttola, A. Elagin, R. Essig, L. Everett, E. Feng, K. Fujii, J. Gainer, Y. Gao, I. Gogoladze, S. Gori, R. Goncalo, N. Graf, C. Grojean, S. Guindon, H. Haber, T. Han, G. Hanson, R. Harnik, S. Heinemeyer, U. Heintz, J. Hewett, Y. Ilchenko, A. Ishikawa, A. Ismail, V. Jain, P. Janot, S. Kanemura, S. Kawada, R. Kehoe, M. Klute, A. Kotwal, K. Krueger, G. Kukartsev, K. Kumar, J. Kunkle, M. Kurata, I. Lewis, Y. Li, L. Linssen, E. Lipeles, R. Lipton, T. Liss, J. List, T. Liu, Z. Liu, I. Low, T. Ma, P. Mackenzie, B. Mellado, K. Melnikov, A. Miyamoto, G. Moortgat-Pick, G. Mourou, M. Narain, H. Neal, J. Nielsen, N. Okada, H. Okawa, J. Olsen, H. Ono, P. Onyisi, N. Parashar, M. Peskin, F. Petriello, T. Plehn, C. Pollard, C. Potter, K. Prokofiev, M. Rauch, T. Rizzo, T. Robens, V. Rodriguez, P. Roloff, R. Ruiz, V. Sanz, J. Sayre, Q. Shafi, G. Shaughnessy, M. Sher, F. Simon, N. Solyak, J. Strube, J. Stupak, S. Su, T. Suehara, T. Tanabe, T. Tajima, V. Telnov, J. Tian, S. Thomas, M. Thomson, K. Tsumura, C. Un, M. Velasco, C. Wagner, S. Wang, S. Watanuki, G. Weiglein, A. Whitbeck, K. Yagyu, W. Yao, H. Yokoya, S. Zenz, D. Zerwas, Y. Zhang, Y. Zhou

This report summarizes the work of the Energy Frontier Higgs Boson working group of the 2013 Community Summer Study (Snowmass). We identify the key elements of a precision Higgs physics program and document the physics potential of future experimental facilities as elucidated during the Snowmass study. We study Higgs couplings to gauge boson and fermion pairs, double Higgs production for the Higgs self-coupling, its quantum numbers and $CP$-mixing in Higgs couplings, the Higgs mass and total width, and prospects for direct searches for additional Higgs bosons in extensions of the Standard Model. Read More

We study the stability of coherent structures in plane Couette flow against long-wavelength perturbations in wide domains that cover several pairs of coherent structures. For one and two pairs of vortices, the states retain the stability properties of the small domains, but for three pairs new unstable modes are found. They are shown to be connected to bifurcations that break the translational symmetry and drive the coherent structures from the spanwise extended state to a modulated one that is a precursor to spanwise localized states. 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 compute the production cross section of a pair of Standard Model Higgs bosons at the LHC at next-to-leading order in QCD, including corrections in inverse powers of the top quark mass. We calculate these power corrections through ${\cal O}(1/M_t^8)$ and study their relevance for phenomenology of the double Higgs production. We find that power corrections are significant, even for moderate values of partonic center-of-mass energies, and that convergence of the $1/M_t$ expansion can be dramatically improved by factorizing the leading order cross section with full $M_t$-dependence. 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

It is known that the correlator of one axial and two vector currents, that receives leading contributions through one-loop fermion triangle diagrams, is not modified by QCD radiative corrections at two loops. It was suggested that this non-renormalization of the VVA correlator persists in higher orders in perturbative QCD as well. To check this assertion, we compute the three-loop QCD corrections to the VAA-correlator u sing the technique of asymptotic expansions. Read More

The experimental determination of the properties of the newly discovered boson at the Large Hadron Collider is currently the most crucial task in high energy physics. We show how information about the spin, parity, and, more generally, the tensor structure of the boson couplings can be obtained by studying angular and mass distributions of events in which the resonance decays to pairs of gauge bosons, $ZZ, WW$, and $\gamma \gamma$. A complete Monte Carlo simulation of the process $pp \to X \to VV \to 4f$ is performed and verified by comparing it to an analytic calculation of the decay amplitudes $X \to VV \to 4f$. Read More

We describe the computation of the $gg \to W^+W^-g$ process that contributes to the production of two $W$-bosons and a jet at the CERN Large Hadron Collider (LHC). While formally of next-to-next-to-leading order (NNLO) in QCD, this process can be evaluated separately from the bulk of NNLO QCD corrections because it is finite and gauge-invariant. It is also enhanced by the large gluon flux and by selection cuts employed in the Higgs boson searches in the decay channel $ H \to W^+W^-$, as was first pointed out by Binoth {\it et al. 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 use the known soft and collinear limits of tree- and one-loop scattering amplitudes -- computed over a decade ago -- to explicitly construct a subtraction scheme for next-to-next-to-leading order (NNLO) computations. Our approach combines partitioning of the final-state phase space together with the technique of sector decomposition, following recent suggestions in Ref. [1]. Read More

We consider top quark pair production in association with a hard jet through next-to-leading order in perturbative QCD. Top quark decays are treated in the narrow width approximation and spin correlations are retained throughout the computation. We include hard jet radiation by top quark decay products and explore their importance for basic kinematic distributions at the Tevatron and the LHC. Read More

Radiative corrections to the decay rate of charged fermions caused by the presence of a thermal bath of photons are calculated in the limit when temperatures are below the masses of all charged particles involved. The cancellation of finite-temperature infrared divergences in the decay rate is described in detail. Temperature-dependent radiative corrections to a two-body decay of a hypothetical charged fermion and to electroweak decays of a muon are given. Read More

The four-dimensional helicity regularization scheme is often used in one-loop QCD computations. It was recently argued in Ref. [1] that this scheme is inconsistent beyond the one-loop order in perturbation theory. Read More

The success of the experimental program at the Tevatron re-inforced the idea that precision physics at hadron colliders is desirable and, indeed, possible. The Tevatron data strongly suggests that one-loop computations in QCD describe hard scattering well. Extrapolating this observation to the LHC, we conclude that knowledge of many short-distance processes at next-to-leading order may be required to describe the physics of hard scattering. Read More

The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment can be estimated by computing constituent quark loops. Such an estimate is very sensitive to the numerical values of the constituent quark masses. These can be fixed by computing the hadronic vacuum polarization contribution to the muon magnetic anomaly within the same model. Read More

We compute the NLO QCD corrections to the pair production of W-bosons in association with two jets at the Tevatron and the LHC. This process is an important background to heavy Higgs-boson production in association with two jets, either in gluon or weak boson fusion. We consider leptonic decays of W-bosons and include all the spin correlations exactly. Read More

Spin correlations of top quarks produced in hadron collisions have not been observed experimentally with large significance. In this Letter, we propose a new variable that may enable demonstration of the existence of spin correlations with 3-4 sigma significance using just a few hundred dilepton events both at the Tevatron and the LHC. Such number of dilepton events has been observed at the Tevatron. Read More