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Title: Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion

Abstract

We compute the part of the two-loop virtual amplitude for the process gg→V 1V 2→(l 1$$\overline{l}$$' 2)(l 2$$\overline{l}$$' 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.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. TH Unit, CERN, Geneva (Switzerland). PH Dept.
  2. Institute for Advanced Study, Princton, NJ (United States)
  3. Karlsruhe Institute of Technology (Germany). Institute for Theoretical Particle Physics
  4. Moscow State University (Russia). Research Computing Center
  5. Moscow State University (Russia). Skobeltsyn Institute of Nuclear Physics
Publication Date:
Research Org.:
Institute for Advanced Study, Princton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1454729
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: 2015; Journal Issue: 6; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QCD Phenomenology; NLO Computations

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 gluon fusion. United States: N. p., 2015. Web. doi:10.1007/JHEP06(2015)129.
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 gluon fusion. United States. doi:10.1007/JHEP06(2015)129.
Caola, Fabrizio, Henn, Johannes M., Melnikov, Kirill, Smirnov, Alexander V., and Smirnov, Vladimir A. Thu . "Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion". United States. doi:10.1007/JHEP06(2015)129. https://www.osti.gov/servlets/purl/1454729.
@article{osti_1454729,
title = {Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion},
author = {Caola, Fabrizio and Henn, Johannes M. and Melnikov, Kirill and Smirnov, Alexander V. and Smirnov, Vladimir A.},
abstractNote = {We compute the part of the two-loop virtual amplitude for the process gg→V1V2→(l1$\overline{l}$'2)(l2$\overline{l}$'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.},
doi = {10.1007/JHEP06(2015)129},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2015,
place = {United States},
year = {2015},
month = {6}
}

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Cited by: 26 works
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Works referenced in this record:

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


Z-boson pair production via gluon fusion
journal, July 1989


Two-loop master integrals with the simplified differential equations approach
journal, January 2015

  • Papadopoulos, Costas G.; Tommasini, Damiano; Wever, Christopher
  • Journal of High Energy Physics, Vol. 2015, Issue 1
  • DOI: 10.1007/JHEP01(2015)072

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


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

  • Gehrmann, Thomas; von Manteuffel, Andreas; Tancredi, Lorenzo
  • Journal of High Energy Physics, Vol. 2014, Issue 6
  • DOI: 10.1007/JHEP06(2014)032

Automatic Feynman Graph Generation
journal, April 1993


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

  • Kauer, Nikolas; Passarino, Giampiero
  • Journal of High Energy Physics, Vol. 2012, Issue 8
  • DOI: 10.1007/JHEP08(2012)116

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

  • Cascioli, F.; Höche, S.; Krauss, F.
  • Journal of High Energy Physics, Vol. 2014, Issue 1
  • DOI: 10.1007/JHEP01(2014)046

Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in quark-antiquark collisions
journal, November 2014

  • Caola, Fabrizio; Henn, Johannes M.; Melnikov, Kirill
  • Journal of High Energy Physics, Vol. 2014, Issue 11
  • DOI: 10.1007/JHEP11(2014)041

Gluon fusion contribution to W + W − + jet production
journal, August 2012

  • Melia, Tom; Melnikov, Kirill; Röntsch, Raoul
  • Journal of High Energy Physics, Vol. 2012, Issue 8
  • DOI: 10.1007/JHEP08(2012)115

Higgs boson production at the LHC
journal, October 1995


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


FORM version 4.0
journal, May 2013

  • Kuipers, J.; Ueda, T.; Vermaseren, J. A. M.
  • Computer Physics Communications, Vol. 184, Issue 5
  • DOI: 10.1016/j.cpc.2012.12.028

Numerical evaluation of multiple polylogarithms
journal, May 2005


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


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


Gluon-gluon contributions to W + W − production and Higgs interference effects
journal, October 2011

  • Campbell, John M.; Ellis, R. Keith; Williams, Ciaran
  • Journal of High Energy Physics, Vol. 2011, Issue 10
  • DOI: 10.1007/JHEP10(2011)005

Algorithm FIRE—Feynman Integral REduction
journal, October 2008


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

  • Henn, Johannes M.; Melnikov, Kirill; Smirnov, Vladimir A.
  • Journal of High Energy Physics, Vol. 2014, Issue 5
  • DOI: 10.1007/JHEP05(2014)090

Production of two Z-bosons in gluon fusion in the heavy top quark approximation
journal, May 2015


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

  • Caola, Fabrizio; Henn, Johannes M.; Melnikov, Kirill
  • Journal of High Energy Physics, Vol. 2014, Issue 9
  • DOI: 10.1007/JHEP09(2014)043

ZZ + jet production via gluon fusion at the LHC
journal, June 2013

  • Campanario, Francisco; Li, Qiang; Rauch, Michael
  • Journal of High Energy Physics, Vol. 2013, Issue 6
  • DOI: 10.1007/JHEP06(2013)069

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


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

  • Gehrmann, Thomas; Tancredi, Lorenzo; Weihs, Erich
  • Journal of High Energy Physics, Vol. 2013, Issue 8
  • DOI: 10.1007/JHEP08(2013)070

Gluon-induced Higgs-strahlung at next-to-leading order QCD
journal, February 2013

  • Altenkamp, Lukas; Dittmaier, Stefan; Harlander, Robert V.
  • Journal of High Energy Physics, Vol. 2013, Issue 2
  • DOI: 10.1007/JHEP02(2013)078

Isolating a light Higgs boson from the diphoton background at the CERN LHC
journal, October 2002


FIRE5: A C++ implementation of Feynman Integral REduction
journal, April 2015


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

  • Bauer, Christian; Frink, Alexander; Kreckel, Richard
  • Journal of Symbolic Computation, Vol. 33, Issue 1
  • DOI: 10.1006/jsco.2001.0494

W + W Production at Hadron Colliders in Next to Next to Leading Order QCD
journal, November 2014


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


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

  • Campbell, John M.; Ellis, R. Keith; Williams, Ciaran
  • Journal of High Energy Physics, Vol. 2014, Issue 4
  • DOI: 10.1007/JHEP04(2014)060

Generalized Furry's Theorem for Closed Loops
journal, August 1951