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Title: Zγ production at NNLO including anomalous couplings

Abstract

In this paper we present a next-to-next-to-leading order (NNLO) QCD calculation of the processes $$pp\rightarrow l^+l^-\gamma$$ and $$pp\rightarrow \nu\bar\nu\gamma$$ that we have implemented in MCFM. Our calculation includes QCD corrections at NNLO both for the Standard Model (SM) and additionally in the presence of $$Z\gamma\gamma$$ and $$ZZ\gamma$$ anomalous couplings. We compare our implementation, obtained using the jettiness slicing approach, with a previous SM calculation and find broad agreement. Focusing on the sensitivity of our results to the slicing parameter, we show that using our setup we are able to compute NNLO cross sections with numerical uncertainties of about $$0.1\%$$, which is small compared to residual scale uncertainties of a few percent. We study potential improvements using two different jettiness definitions and the inclusion of power corrections. At $$\sqrt{s}=13$$ TeV we present phenomenological results and consider $$Z\gamma$$ as a background to $$H\to Z\gamma$$ production. Here, we find that, with typical cuts, the inclusion of NNLO corrections represents a small effect and loosens the extraction of limits on anomalous couplings by about $$10\%$$.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [2]
  1. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  2. Univ. at Buffalo, The State Univ. of New York, Buffalo, NY (United States)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1410428
Report Number(s):
arXiv:1708.02925; FERMILAB-PUB-17-303-T
Journal ID: ISSN 1029-8479; 1615212; TRN: US1800108
Grant/Contract Number:  
AC02-07CH11359
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: 2017; 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; QCD Phenomenology

Citation Formats

Campbell, John M., Neumann, Tobias, and Williams, Ciaran. Zγ production at NNLO including anomalous couplings. United States: N. p., 2017. Web. doi:10.1007/JHEP11(2017)150.
Campbell, John M., Neumann, Tobias, & Williams, Ciaran. Zγ production at NNLO including anomalous couplings. United States. doi:10.1007/JHEP11(2017)150.
Campbell, John M., Neumann, Tobias, and Williams, Ciaran. Thu . "Zγ production at NNLO including anomalous couplings". United States. doi:10.1007/JHEP11(2017)150. https://www.osti.gov/servlets/purl/1410428.
@article{osti_1410428,
title = {Zγ production at NNLO including anomalous couplings},
author = {Campbell, John M. and Neumann, Tobias and Williams, Ciaran},
abstractNote = {In this paper we present a next-to-next-to-leading order (NNLO) QCD calculation of the processes $pp\rightarrow l^+l^-\gamma$ and $pp\rightarrow \nu\bar\nu\gamma$ that we have implemented in MCFM. Our calculation includes QCD corrections at NNLO both for the Standard Model (SM) and additionally in the presence of $Z\gamma\gamma$ and $ZZ\gamma$ anomalous couplings. We compare our implementation, obtained using the jettiness slicing approach, with a previous SM calculation and find broad agreement. Focusing on the sensitivity of our results to the slicing parameter, we show that using our setup we are able to compute NNLO cross sections with numerical uncertainties of about $0.1\%$, which is small compared to residual scale uncertainties of a few percent. We study potential improvements using two different jettiness definitions and the inclusion of power corrections. At $\sqrt{s}=13$ TeV we present phenomenological results and consider $Z\gamma$ as a background to $H\to Z\gamma$ production. Here, we find that, with typical cuts, the inclusion of NNLO corrections represents a small effect and loosens the extraction of limits on anomalous couplings by about $10\%$.},
doi = {10.1007/JHEP11(2017)150},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {2017},
month = {11}
}

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Cited by: 8 works
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Works referenced in this record:

Vector boson pair production at the LHC
journal, July 2011

  • Campbell, John M.; Ellis, R. Keith; Williams, Ciaran
  • Journal of High Energy Physics, Vol. 2011, Issue 7
  • DOI: 10.1007/JHEP07(2011)018

Numerical evaluation of two-dimensional harmonic polylogarithms
journal, April 2002


Direct Photon Production at Next-to–Next-to-Leading Order
journal, May 2017


Isolated photons in perturbative QCD
journal, June 1998


Model-independent bounds on squarks from monophoton searches
journal, August 2012

  • Bélanger, Geneviève; Heikinheimo, Matti; Sanz, Verónica
  • Journal of High Energy Physics, Vol. 2012, Issue 8
  • DOI: 10.1007/JHEP08(2012)151

Review of Particle Physics
journal, October 2016


One-loop amplitudes for e+e− to four partons
journal, March 1998


Photon Z-boson pair production via gluon fusion
journal, June 1988


Scattering Amplitudes with Open Loops
journal, March 2012


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


Tests of neutral gauge boson self-couplings with e+e−→γZ
journal, March 1982


Electroweak corrections to γZ production at hadron colliders
journal, June 2004


Quark and Gluon Form Factors to Three Loops
journal, May 2009


Two-loop QCD helicity amplitudes for e+e−→3 jets
journal, October 2002


A general algorithm for calculating jet cross sections in NLO QCD
journal, February 1997


Measurement of Wγ and Zγ production cross sections in pp collisions at <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>7</mml:mn><mml:mtext> </mml:mtext><mml:mtext>TeV</mml:mtext></mml:math> and limits on anomalous triple gauge couplings with the ATLAS detector
journal, October 2012


The Higgs-photon-Z boson coupling revisited
journal, March 1998

  • Djouadi, A.; Driesen, V.; Hollik, W.
  • The European Physical Journal C, Vol. 1, Issue 1-2
  • DOI: 10.1007/BF01245806

Measurements of W γ and Z γ production in p p collisions at s = 7 TeV with the ATLAS detector at the LHC
journal, June 2013


Hadronic Z γ production with QCD corrections and leptonic decays
journal, February 1995


Analytic continuation of massless two-loop four-point functions
journal, September 2002


Beam Thrust Cross Section for Drell-Yan Production at Next-to-Next-to-Leading-Logarithmic Order
journal, January 2011


N Jettiness: An Inclusive Event Shape to Veto Jets
journal, August 2010


Higgs production with a central jet veto at NNLL+NNLO
journal, April 2011

  • Berger, Carola F.; Marcantonini, Claudio; Stewart, Iain W.
  • Journal of High Energy Physics, Vol. 2011, Issue 4
  • DOI: 10.1007/JHEP04(2011)092

NLO QCD and electroweak corrections to Z + γ production with leptonic Z-boson decays
journal, February 2016

  • Denner, Ansgar; Dittmaier, Stefan; Hecht, Markus
  • Journal of High Energy Physics, Vol. 2016, Issue 2
  • DOI: 10.1007/JHEP02(2016)057

Parton distributions in the LHC era: MMHT 2014 PDFs
journal, May 2015


Limits on Anomalous Trilinear Gauge Couplings in Z γ Events from p p ¯ Collisions at s = 1.96 TeV
journal, July 2011


Update on vector boson pair production at hadron colliders
journal, November 1999


Exact expressions for processes involving a vector boson and up to five partons
journal, July 1989


MadGraph/MadEvent v4: the new web generation
journal, September 2007


Measurement of Wγ and Zγ production in pp collisions at <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>7</mml:mn><mml:mtext> </mml:mtext><mml:mtext>TeV</mml:mtext></mml:math>
journal, July 2011


Gluon induced contributions to Z γ production at hadron colliders
journal, February 2003


Z γ production and limits on anomalous Z Z γ and Z γ γ couplings in p p ¯ collisions at s = 1.96 TeV
journal, March 2012


Electroweak corrections to Wγ and Zγ production at the LHC
journal, April 2006


Higgs boson production at the LHC
journal, October 1995


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

  • Gehrmann, Thomas; Tancredi, Lorenzo
  • Journal of High Energy Physics, Vol. 2012, Issue 2
  • DOI: 10.1007/JHEP02(2012)004

Signatures of the anomalous Z γ and ZZ production at lepton and hadron colliders
journal, March 2000


Wγ and Zγ production at the LHC in NNLO QCD
journal, July 2015

  • Grazzini, Massimiliano; Kallweit, Stefan; Rathlev, Dirk
  • Journal of High Energy Physics, Vol. 2015, Issue 7
  • DOI: 10.1007/JHEP07(2015)085

Multiboson interactions at the LHC
journal, September 2017


Predictions for diphoton production at the LHC through NNLO in QCD
journal, July 2016

  • Campbell, John M.; Ellis, R. Keith; Li, Ye
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)148

Signals of a superlight gravitino at the LHC
journal, April 2015

  • Maltoni, Fabio; Martini, Antony; Mawatari, Kentarou
  • Journal of High Energy Physics, Vol. 2015, Issue 4
  • DOI: 10.1007/JHEP04(2015)021

Measurements of Z γ and Z γ γ production in p p collisions at s = 8 TeV with the ATLAS detector
journal, June 2016


$W\gamma$ and $Z\gamma$ production at hadron colliders
journal, August 2000

  • de Florian, D.; Signer, A.
  • The European Physical Journal C, Vol. 16, Issue 1
  • DOI: 10.1007/s100520050007

Next-to-leading order predictions for Zγ + jet and Zγγ final states at the LHC
journal, November 2012

  • Campbell, John M.; Hartanto, Heribertus B.; Williams, Ciaran
  • Journal of High Energy Physics, Vol. 2012, Issue 11
  • DOI: 10.1007/JHEP11(2012)162

Higgs- and Z -boson Production with a Jet Veto
journal, November 2012


Diphoton Production at Hadron Colliders: A Fully Differential QCD Calculation at Next-to-Next-to-Leading Order
journal, February 2012


Color-singlet production at NNLO in MCFM
journal, December 2016


N-jettiness subtractions for NNLO QCD calculations
journal, September 2015

  • Gaunt, Jonathan R.; Stahlhofen, Maximilian; Tackmann, Frank J.
  • Journal of High Energy Physics, Vol. 2015, Issue 9
  • DOI: 10.1007/JHEP09(2015)058

Order- α s calculations of hadronic W ± γ and Z γ production
journal, February 1993


The calculation of the second order soft and virtual contributions to the Drell-Yan cross section
journal, June 1989


Probing the weak boson sector in e+e−→W+W−
journal, January 1987


QCD corrections and anomalous couplings in Z γ production at hadron colliders
journal, March 1998


Calculation of the quark and gluon form factors to three loops in QCD
journal, June 2010

  • Gehrmann, T.; Glover, E. W. N.; Huber, T.
  • Journal of High Energy Physics, Vol. 2010, Issue 6
  • DOI: 10.1007/JHEP06(2010)094

Power corrections in the N -jettiness subtraction scheme
journal, March 2017

  • Boughezal, Radja; Liu, Xiaohui; Petriello, Frank
  • Journal of High Energy Physics, Vol. 2017, Issue 3
  • DOI: 10.1007/JHEP03(2017)160

Twistor-inspired construction of electroweak vector boson currents
journal, July 2005


Search for new resonances in Wγ and Zγ final states in pp collisions at s = 8 TeV with the ATLAS detector
journal, November 2014


Electroweak-correction effects in gauge-boson pair production at the CERN LHC
journal, February 2002


The dipole formalism for the calculation of QCD jet cross sections at next-to-leading order
journal, June 1996


Search for Higgs boson decays to a photon and a Z boson in pp collisions at <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>7</mml:mn></mml:math> and 8 TeV with the ATLAS detector
journal, May 2014


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


    Works referencing / citing this record:

    Power corrections for N-jettiness subtractions at O α s $$ \mathcal{O}\left({\alpha}_s\right) $$
    journal, December 2018

    • Ebert, Markus A.; Moult, Ian; Stewart, Iain W.
    • Journal of High Energy Physics, Vol. 2018, Issue 12
    • DOI: 10.1007/jhep12(2018)084

    Power corrections for N-jettiness subtractions at O α s $$ \mathcal{O}\left({\alpha}_s\right) $$
    journal, December 2018

    • Ebert, Markus A.; Moult, Ian; Stewart, Iain W.
    • Journal of High Energy Physics, Vol. 2018, Issue 12
    • DOI: 10.1007/jhep12(2018)084