Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in quark-antiquark collisions

Caola, Fabrizio; Henn, Johannes M.; Melnikov, Kirill; Smirnov, Alexander V.; Smirnov, Vladimir A.

doi:10.1007/JHEP11(2014)041

Title: Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in quark-antiquark collisions

Abstract

Knowledge of two-loop QCD amplitudes for processes qq'→V₁V₂→(l₁$$\overline{l}$$'₁)(l₂$$\overline{l}$$'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 = γ * γ *, W ⁺ W ^-, ZZ, W ^± Z, W ^± γ *, including off-shell effects and decays to leptons.

Authors:

Caola, Fabrizio ^[1]; Henn, Johannes M. ^[2]; Melnikov, Kirill ^[1]; Smirnov, Alexander V. ^[3]; Smirnov, Vladimir A. ^[4]

Institute for Theoretical Particle Physics, KIT, Karlsruhe (Germany)
Institute for Advanced Study, Princeton, NJ (United States)
Moscow State University (Russia). Scientific Research Computing Center
Skobeltsyn Institute of Nuclear Physics of Moscow State University (Russia)

Publication Date:: Mon Nov 10 00:00:00 EST 2014

Research Org.:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1454738

Grant/Contract Number:: SC0009988

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2014; Journal Issue: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NLO Computations; Hadronic Colliders

Citation Formats


                    Caola, Fabrizio, Henn, Johannes M., Melnikov, Kirill, Smirnov, Alexander V., and Smirnov, Vladimir A. Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in quark-antiquark collisions.  United States: N. p., 2014. 
Web.  doi:10.1007/JHEP11(2014)041.

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                    Caola, Fabrizio, Henn, Johannes M., Melnikov, Kirill, Smirnov, Alexander V., & Smirnov, Vladimir A. Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in quark-antiquark collisions.  United States.  https://doi.org/10.1007/JHEP11(2014)041

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                    Caola, Fabrizio, Henn, Johannes M., Melnikov, Kirill, Smirnov, Alexander V., and Smirnov, Vladimir A. Mon .  
"Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in quark-antiquark collisions".  United States.  https://doi.org/10.1007/JHEP11(2014)041.  https://www.osti.gov/servlets/purl/1454738.

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@article{osti_1454738,

  title        = {Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in quark-antiquark collisions},

  author       = {Caola, Fabrizio and Henn, Johannes M. and Melnikov, Kirill and Smirnov, Alexander V. and Smirnov, Vladimir A.},

  abstractNote = {Knowledge of two-loop QCD amplitudes for processes qq'→V1V2→(l1$\overline{l}$'1)(l2$\overline{l}$'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 = γ * γ *, W + W -, ZZ, W ± Z, W ± γ *, including off-shell effects and decays to leptons.},

  doi          = {10.1007/JHEP11(2014)041},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 11,

  volume       = 2014,

  place        = {United States},

  year         = {Mon Nov 10 00:00:00 EST 2014},

  month        = {Mon Nov 10 00:00:00 EST 2014}

}

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In the standard model the process [ital q[bar q]][r arrow][ital q[bar q]V] (where [ital V]=[ital W][sup [plus minus]], [ital Z][sup 0], or [gamma]) can occur via gluon exchange and also via [ital W][sup [plus minus]] or [ital Z][sup 0] exchange. The corresponding chromodynamic and electroweak amplitudes can interfere with one another. These interference cross sections are largest when the exchanged [ital W][sup [plus minus]] or [ital Z][sup 0] is on shell when they are also odd under parity. Interference cross sections computed using helicity-amplitude techniques are presented for all interesting subprocesses as well as for the processes [ital q[bar q]][rmore »« less
https://doi.org/10.1103/PhysRevD.49.190
Measurement of the Helicity of W Bosons in Top Quark Decays

Journal Article Affolder, T ; Akimoto, H ; Akopian, A ; ... - Physical Review Letters

We use the transverse momentum spectrum of leptons in the decay chain t{yields}bW with W{yields}l{nu} to measure the helicity of the W bosons in the top quark rest frame. Our measurement uses a tt sample isolated in 106{+-}4 pb{sup -1} of data collected in pp collisions at {radical}(s)=1.8 TeV with the CDF detector at the Fermilab Tevatron. Assuming a standard V-A weak decay, we find that the fraction of W 's with zero helicity in the top rest frame is F{sub 0}=0.91{+-}0.37(stat ){+-}0.13(syst) , consistent with the standard model prediction of F{sub 0}=0.70 for a top mass of 175 GeV/c{supmore »« less
https://doi.org/10.1103/PhysRevLett.84.216
Decays of scalar and pseudoscalar Higgs bosons into fermions: Two-loop QCD corrections to the Higgs-quark-antiquark amplitude

Journal Article Bernreuther, W ; Heinesch, R ; Bonciani, R ; ... - Physical Review. D, Particles Fields

As a first step in the aim of arriving at a differential description of neutral Higgs boson decays into heavy quarks, h{yields}QQX, to second order in the QCD coupling {alpha}{sub S}, we have computed the hQQ amplitude at the two-loop level in QCD for a general neutral Higgs boson which has both scalar and pseudoscalar couplings to quarks. This amplitude is given in terms of a scalar and a pseudoscalar vertex form factor, for which we present closed analytic expressions in terms of one-dimensional harmonic polylogarithms of maximum weight 4. The results hold for arbitrary four-momentum squared, q{sup 2}, ofmore »« less
https://doi.org/10.1103/PhysRevD.72.096002
Measurement of the W boson helicity in top-antitop quark events with the CDF II experiment

Technical Report Chwalek, Thorsten ; /Karlsruhe U., EKP

In 1995 the top quark was discovered at the Tevatron proton-antiproton collider at Fermilab by the CDF and D0 collaborations [1, 2]. It is the most massive known elementary particle and its mass is currently measured with a precision of about 1.3% [3, 4]. However, the measurements of several other top quark properties are still statistically limited, so the question remains whether the Standard Model of elementary particle physics successfully predicts these properties. This thesis addresses one interesting aspect of top quark decay, the helicity of the produced W boson. Until the start of the Large Hadron Collider (LHC) atmore »« less
https://doi.org/10.2172/911839

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Title: Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in quark-antiquark collisions

Abstract

Citation Formats

Vector boson pair production at the LHC journal, July 2011

ZZ production at hadron colliders in NNLO QCD journal, July 2014

Two-loop QCD helicity amplitudes for gg → Z g and gg →Zγ journal, April 2013

Integration by parts: The algorithm to calculate β-functions in 4 loops journal, November 1981

Soft-gluon effects in WW production at hadron colliders journal, January 2006

Automatic Feynman Graph Generation journal, April 1993

Matching NLO QCD computations and parton shower simulations journal, June 2002

Inadequacy of zero-width approximation for a light Higgs boson signal journal, August 2012

QCD radiative corrections to Z boson pair production in hadronic collisions journal, July 1991

Zγ production at hadron colliders in NNLO QCD journal, April 2014

Multiloop Integrals in Dimensional Regularization Made Simple journal, June 2013

Double-real radiation in hadronic top quark pair production as a proof of a certain concept journal, August 2011

A next-to-leading order calculation of the cross section for the production of W+W− pairs in hadronic collisions journal, December 1993

A positive-weight next-to-leading-order Monte Carlo for Z pair hadroproduction journal, August 2006

W+W−, WZ and ZZ production in the POWHEG BOX journal, November 2011

Dimensional regularization of mass and infrared singularities in two-loop on-shell vertex functions journal, May 1986

FIRE4, LiteRed and accompanying tools to solve integration by parts relations journal, December 2013

Antenna subtraction at NNLO journal, September 2005

Two-loop planar master integrals for the production of off-shell vector bosons in hadron collisions journal, May 2014

Non-planar master integrals for the production of two off-shell vector bosons in collisions of massless partons journal, September 2014

Two-loop master integrals for $ q\overline{q}\to VV $ : the planar topologies journal, August 2013

Gluon-induced W -boson pair production at the LHC journal, December 2006

W pair production at the LHC I. Virtual 𝒪(α s 2 ) corrections in the high energy limit journal, December 2008

Four-lepton production at hadron colliders: aMC@NLO predictions with theoretical uncertainties journal, February 2012

W+W− production at high transverse momenta beyond NLO journal, February 2014

The two-loop master integrals for $ q\overline{q} $ → VV journal, June 2014

Precise Higgs-background predictions: merging NLO QCD and squared quark-loop corrections to four-lepton + 0,1 jet production journal, January 2014

Electroweak corrections to W-boson pair production at the LHC journal, November 2012

The singular behaviour of QCD amplitudes at two-loop order journal, May 1998

Next-to-Next-to-Leading-Order Subtraction Formalism in Hadron Collisions and its Application to Higgs-Boson Production at the Large Hadron Collider journal, May 2007

FORM version 4.0 journal, May 2013

Vector-boson pair production at the LHC to $ \mathcal{O} $ (α 3) accuracy journal, December 2013

Numerical evaluation of multiple polylogarithms journal, May 2005

A theorem on analytical calculability of 4-loop renormalization group functions journal, March 1981

Two-loop QCD helicity amplitudes for $ q\overline q $ → W ±γ and $ q\overline q $ → Z 0γ journal, February 2012

NNLO jet cross sections by subtraction journal, August 2010

A positive-weight next-to-leading order simulation of weak boson pair production journal, January 2011

Algorithm FIRE—Feynman Integral REduction journal, October 2008

Gluon-induced WW background to Higgs boson searches at the LHC journal, March 2005

Integrals for two‐loop calculations in massless QCD journal, April 1987

Subtraction terms at NNLO journal, March 2003

Next-to-leading order electroweak corrections to pp → W+W− → 4 leptons at the LHC in double-pole approximation journal, December 2013

Universality of transverse-momentum resummation and hard factors at the NNLO journal, April 2014

A novel subtraction scheme for double-real radiation at NNLO journal, October 2010

Introduction to the GiNaC Framework for Symbolic Computation within the C++ Programming Language journal, January 2002

Strong corrections to WZ production at hadron colliders journal, September 1992

Vector boson pair production via gluon fusion journal, March 1989

Bounding the Higgs width at the LHC using full analytic results for gg → e − e + μ − μ + journal, April 2014

Helicity amplitudes for O(αs) production of W+W−, W±Z, ZZ, W±γ, or Zγ pairs at hadron colliders journal, October 1998

Two-loop QCD helicity amplitudes for $ q\overline q $ → W ±γ and $ q\overline q $ → Z 0γ text, January 2012

Four-lepton production at hadron colliders: aMC@NLO predictions with theoretical uncertainties text, January 2012

Two-loop master integrals for $ q\overline{q}\to VV $ : the planar topologies text, January 2013

W+W- production at high transverse momenta beyond NLO text, January 2014

Zγ production at hadron colliders in NNLO QCD text, January 2014

Universality of transverse-momentum resummation and hard factors at the NNLO text, January 2014

The two-loop master integrals for $ q\overline{q} $ → VV text, January 2014

Precise Higgs-background predictions: merging NLO QCD and squared quark-loop corrections to four-lepton + 0,1 jet production text, January 2014

Two-loop QCD helicity amplitudes for gg → Z g and gg →Zγ text, January 2013

A novel subtraction scheme for double-real radiation at NNLO text, January 2010

A positive-weight next-to-leading order simulation of weak boson pair production text, January 2010

Double-real radiation in hadronic top quark pair production as a proof of a certain concept text, January 2011

Vector boson pair production at the LHC text, January 2011

W+W-, WZ and ZZ production in the POWHEG BOX text, January 2011

FORM version 4.0 text, January 2012

Inadequacy of zero-width approximation for a light Higgs boson signal text, January 2012

Multiloop integrals in dimensional regularization made simple text, January 2013

Two-loop planar master integrals for the production of off-shell vector bosons in hadron collisions text, January 2014

Non-planar master integrals for the production of two off-shell vector bosons in collisions of massless partons text, January 2014

ZZ production at hadron colliders in NNLO QCD text, January 2014

Matching NLO QCD computations and parton shower simulations text, January 2002

Subtraction terms at NNLO text, January 2003

Numerical evaluation of multiple polylogarithms text, January 2004

Gluon-induced WW background to Higgs boson searches at the LHC text, January 2005

A Positive-Weight Next-to-Leading-Order Monte Carlo for Z Pair Hadroproduction text, January 2006

Gluon-induced W-boson pair production at the LHC text, January 2006

The Singular Behaviour of QCD Amplitudes at Two-loop Order text, January 1998

Two-loop $$ \mathcal{N} $$ = 2 SQCD amplitudes with external matter from iterated cuts journal, July 2019

Vector boson pair production at the LHC
journal, July 2011

ZZ production at hadron colliders in NNLO QCD
journal, July 2014

Two-loop QCD helicity amplitudes for gg → Z g and gg →Zγ
journal, April 2013

Integration by parts: The algorithm to calculate β-functions in 4 loops
journal, November 1981

Soft-gluon effects in WW production at hadron colliders
journal, January 2006

Automatic Feynman Graph Generation
journal, April 1993

Matching NLO QCD computations and parton shower simulations
journal, June 2002

Inadequacy of zero-width approximation for a light Higgs boson signal
journal, August 2012

QCD radiative corrections to Z boson pair production in hadronic collisions
journal, July 1991

Zγ production at hadron colliders in NNLO QCD
journal, April 2014

Multiloop Integrals in Dimensional Regularization Made Simple
journal, June 2013

Double-real radiation in hadronic top quark pair production as a proof of a certain concept
journal, August 2011

A next-to-leading order calculation of the cross section for the production of W+W− pairs in hadronic collisions
journal, December 1993

A positive-weight next-to-leading-order Monte Carlo for Z pair hadroproduction
journal, August 2006

W+W−, WZ and ZZ production in the POWHEG BOX
journal, November 2011

Dimensional regularization of mass and infrared singularities in two-loop on-shell vertex functions
journal, May 1986

FIRE4, LiteRed and accompanying tools to solve integration by parts relations
journal, December 2013

Antenna subtraction at NNLO
journal, September 2005

Two-loop planar master integrals for the production of off-shell vector bosons in hadron collisions
journal, May 2014

Non-planar master integrals for the production of two off-shell vector bosons in collisions of massless partons
journal, September 2014

Two-loop master integrals for $ q\overline{q}\to VV $ : the planar topologies
journal, August 2013

Gluon-induced W -boson pair production at the LHC
journal, December 2006

W pair production at the LHC I. Virtual 𝒪(α _s ² ) corrections in the high energy limit
journal, December 2008

Four-lepton production at hadron colliders: aMC@NLO predictions with theoretical uncertainties
journal, February 2012

W+W− production at high transverse momenta beyond NLO
journal, February 2014

The two-loop master integrals for $ q\overline{q} $ → VV
journal, June 2014

Precise Higgs-background predictions: merging NLO QCD and squared quark-loop corrections to four-lepton + 0,1 jet production
journal, January 2014

Electroweak corrections to W-boson pair production at the LHC
journal, November 2012

The singular behaviour of QCD amplitudes at two-loop order
journal, May 1998

Next-to-Next-to-Leading-Order Subtraction Formalism in Hadron Collisions and its Application to Higgs-Boson Production at the Large Hadron Collider
journal, May 2007

FORM version 4.0
journal, May 2013

Vector-boson pair production at the LHC to $ \mathcal{O} $ (α 3) accuracy
journal, December 2013

Numerical evaluation of multiple polylogarithms
journal, May 2005

A theorem on analytical calculability of 4-loop renormalization group functions
journal, March 1981

Two-loop QCD helicity amplitudes for $ q\overline q $ → W ±γ and $ q\overline q $ → Z 0γ
journal, February 2012

NNLO jet cross sections by subtraction
journal, August 2010

A positive-weight next-to-leading order simulation of weak boson pair production
journal, January 2011

Algorithm FIRE—Feynman Integral REduction
journal, October 2008

Gluon-induced WW background to Higgs boson searches at the LHC
journal, March 2005

Integrals for two‐loop calculations in massless QCD
journal, April 1987

Subtraction terms at NNLO
journal, March 2003

Next-to-leading order electroweak corrections to pp → W+W− → 4 leptons at the LHC in double-pole approximation
journal, December 2013

Universality of transverse-momentum resummation and hard factors at the NNLO
journal, April 2014

A novel subtraction scheme for double-real radiation at NNLO
journal, October 2010

Introduction to the GiNaC Framework for Symbolic Computation within the C++ Programming Language
journal, January 2002

Strong corrections to WZ production at hadron colliders
journal, September 1992

Vector boson pair production via gluon fusion
journal, March 1989

Bounding the Higgs width at the LHC using full analytic results for gg → e − e + μ − μ +
journal, April 2014

Helicity amplitudes for O(αs) production of W+W−, W±Z, ZZ, W±γ, or Zγ pairs at hadron colliders
journal, October 1998

Two-loop QCD helicity amplitudes for $ q\overline q $ → W ±γ and $ q\overline q $ → Z 0γ
text, January 2012

Four-lepton production at hadron colliders: aMC@NLO predictions with theoretical uncertainties
text, January 2012

Two-loop master integrals for $ q\overline{q}\to VV $ : the planar topologies
text, January 2013

W+W- production at high transverse momenta beyond NLO
text, January 2014

Zγ production at hadron colliders in NNLO QCD
text, January 2014

Universality of transverse-momentum resummation and hard factors at the NNLO
text, January 2014

The two-loop master integrals for $ q\overline{q} $ → VV
text, January 2014

Precise Higgs-background predictions: merging NLO QCD and squared quark-loop corrections to four-lepton + 0,1 jet production
text, January 2014

Two-loop QCD helicity amplitudes for gg → Z g and gg →Zγ
text, January 2013

A novel subtraction scheme for double-real radiation at NNLO
text, January 2010

A positive-weight next-to-leading order simulation of weak boson pair production
text, January 2010

Double-real radiation in hadronic top quark pair production as a proof of a certain concept
text, January 2011

Vector boson pair production at the LHC
text, January 2011

W+W-, WZ and ZZ production in the POWHEG BOX
text, January 2011

FORM version 4.0
text, January 2012

Inadequacy of zero-width approximation for a light Higgs boson signal
text, January 2012

Multiloop integrals in dimensional regularization made simple
text, January 2013

Two-loop planar master integrals for the production of off-shell vector bosons in hadron collisions
text, January 2014

Non-planar master integrals for the production of two off-shell vector bosons in collisions of massless partons
text, January 2014

ZZ production at hadron colliders in NNLO QCD
text, January 2014

Matching NLO QCD computations and parton shower simulations
text, January 2002

Subtraction terms at NNLO
text, January 2003

Numerical evaluation of multiple polylogarithms
text, January 2004

Gluon-induced WW background to Higgs boson searches at the LHC
text, January 2005

A Positive-Weight Next-to-Leading-Order Monte Carlo for Z Pair Hadroproduction
text, January 2006

Gluon-induced W-boson pair production at the LHC
text, January 2006

The Singular Behaviour of QCD Amplitudes at Two-loop Order
text, January 1998

Two-loop $$ \mathcal{N} $$ = 2 SQCD amplitudes with external matter from iterated cuts
journal, July 2019

Automated NNLL $$+$$ + NLO resummation for jet-veto cross sections
journal, April 2015

NNLO QCD predictions for fully-differential top-quark pair production at the Tevatron
text, January 2016

Transverse-momentum resummation for vector-boson pair production at NNLL+NNLO
text, January 2015