Zγ production at NNLO including anomalous couplings

Campbell, John M.; Neumann, Tobias; Williams, Ciaran

doi:10.1007/JHEP11(2017)150

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:

^[1];

^[2]; Williams, Ciaran ^[2]

Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Univ. at Buffalo, The State Univ. of New York, Buffalo, NY (United States)

Publication Date:: 2017-11-23

Research Org.:: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

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.

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                    Campbell, John M., Neumann, Tobias, & Williams, Ciaran. Zγ production at NNLO including anomalous couplings.  United States.  https://doi.org/10.1007/JHEP11(2017)150

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                    Campbell, John M., Neumann, Tobias, and Williams, Ciaran. Thu .  
"Zγ production at NNLO including anomalous couplings".  United States.  https://doi.org/10.1007/JHEP11(2017)150.  https://www.osti.gov/servlets/purl/1410428.

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@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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Table 1: Applied cuts for Z → e⁺e⁻ decay at a center of mass energy $\sqrt{s}$ = 8 TeV.

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DOI: 10.48550/arxiv.1612.02911

Electroweak-correction effects in gauge-boson pair production at the LHC
text, January 2001

Accomando, Elena; Denner, Ansgar; Pozzorini, Stefano
arXiv
DOI: 10.48550/arxiv.hep-ph/0110114

Numerical Evaluation of Two-Dimensional Harmonic Polylogarithms
text, January 2001

Gehrmann, T.; Remiddi, E.
arXiv
DOI: 10.48550/arxiv.hep-ph/0111255

Two-Loop QCD Helicity Amplitudes for $e^+e^- \to 3$~Jets
text, January 2002

Garland, L. W.; Gehrmann, T.; Glover, E. W. N.
arXiv
DOI: 10.48550/arxiv.hep-ph/0206067

The Higgs - photon - Z boson coupling revisited
text, January 1997

Djouadi, A.; Driesen, V.; Hollik, W.
arXiv
DOI: 10.48550/arxiv.hep-ph/9701342

One-Loop Amplitudes for e^+ e^- to Four Partons
text, January 1997

Bern, Z.; Dixon, L.; Kosower, D. A.
arXiv
DOI: 10.48550/arxiv.hep-ph/9708239

Isolated photons in perturbative QCD
text, January 1998

Frixione, S.
arXiv
DOI: 10.48550/arxiv.hep-ph/9801442

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

Measurement of the Z(→ ℓ+ℓ−)γ production cross-section in pp collisions at s$$ \sqrt{s} $$ = 13 TeV with the ATLAS detector
journal, March 2020

Aad, G.; Abbott, B.; Abbott, D. C.
Journal of High Energy Physics, Vol. 2020, Issue 3
DOI: 10.1007/jhep03(2020)054

Measurement of the Z ( → ℓ + ℓ − ) γ production cross-section in pp collisions at s = 13 TeV with the ATLAS detector
text, January 2020

Aad, G.; Abbott, B.; Abbott, D. C.
Apollo - University of Cambridge Repository
DOI: 10.17863/cam.53594

Prompt photon production and photon-jet correlations at the LHCi
text, January 2018

Klasen, Michael; Klein-Bösing, Christian; Poppenborg, H.
GSI Helmholtzzentrum fuer Schwerionenforschung, GSI, Darmstadt
DOI: 10.15120/gsi-2019-00694

Measurement of the Z ( → ℓ + ℓ − ) γ production cross-section in pp collisions at s = 13 TeV with the ATLAS detector
text, January 2020

Aad, G.; Abbott, B.; Abbott, D. C.
Apollo - University of Cambridge Repository
DOI: 10.17863/cam.71732

Prompt photon production and photon-jet correlations at the LHC
text, January 2017

Klasen, M.; Klein-Bösing, C.; Poppenborg, H.
arXiv
DOI: 10.48550/arxiv.1709.04154

Precision phenomenology with MCFM
text, January 2019

Campbell, John; Neumann, Tobias
arXiv
DOI: 10.48550/arxiv.1909.09117

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Title: Zγ production at NNLO including anomalous couplings

Abstract

Citation Formats

Figures / Tables:

Vector boson pair production at the LHC journal, July 2011

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

Review of Particle Physics journal, October 2016

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

Measurement of the W γ and Z γ inclusive cross sections in p p collisions at s = 7 TeV and limits on anomalous triple gauge boson couplings journal, May 2014

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

Search for heavy resonances decaying to a Z boson and a photon in pp collisions at s = 13 TeV with the ATLAS detector journal, January 2017

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

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

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

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

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

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

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

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

Higgs- and Z-boson Production with a Jet Veto text, January 2012

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

Erratum: Diphoton Production at Hadron Colliders: A Fully Differential QCD Calculation at Next-to-Next-to-Leading Order [Phys. Rev. Lett. 108 , 072001 (2012)] journal, August 2016

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

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

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

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

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

Multiboson interactions at the LHC journal, September 2017

Calculation of the quark and gluon form factors to three loops in QCD text, January 2010

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

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

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

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

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

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

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

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

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

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

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

W -Boson Production in Association with a Jet at Next-to-Next-to-Leading Order in Perturbative QCD journal, August 2015

Analytic results for massless three-loop form factors journal, April 2010

Top-Quark Decay at Next-to-Next-to-Leading Order in QCD journal, January 2013

Scattering amplitudes with open loops text, January 2012

Quark and gluon form factors to three loops text, January 2009

Higgs Production with a Central Jet Veto at NNLL+NNLO text, January 2010

Vector boson pair production at the LHC text, January 2011

N-jettiness Subtractions for NNLO QCD Calculations preprint, January 2015

Predictions for diphoton production at the LHC through NNLO in QCD text, January 2016

Color singlet production at NNLO in MCFM text, January 2016

Power Corrections in the N-jettiness Subtraction Scheme text, January 2016

Electroweak-correction effects in gauge-boson pair production at the LHC text, January 2001

Vector boson pair production at the LHC
journal, July 2011

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

Review of Particle Physics
journal, October 2016

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

Measurement of the $W γ$ and $Z γ$ inclusive cross sections in $p p$ collisions at $\sqrt{s} = 7 TeV$ and limits on anomalous triple gauge boson couplings
journal, May 2014

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

Search for heavy resonances decaying to a Z boson and a photon in pp collisions at $\sqrt{s} = 13 TeV$ with the ATLAS detector
journal, January 2017

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

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

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

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

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

Measurements of $W γ$ and $Z γ$ production in $p p$ collisions at $\sqrt{s} = 7 TeV$ 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

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

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

Limits on Anomalous Trilinear Gauge Couplings in $Z γ$ Events from $p \bar{p}$ Collisions at $\sqrt{s} = 1.96 TeV$
journal, July 2011

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

Higgs- and Z-boson Production with a Jet Veto
text, January 2012

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

Erratum: Diphoton Production at Hadron Colliders: A Fully Differential QCD Calculation at Next-to-Next-to-Leading Order [Phys. Rev. Lett. 108 , 072001 (2012)]
journal, August 2016

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

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 $p \bar{p}$ collisions at $\sqrt{s} = 1.96 TeV$
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

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

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

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

Multiboson interactions at the LHC
journal, September 2017

Calculation of the quark and gluon form factors to three loops in QCD
text, January 2010

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

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

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

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

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

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

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

Order- $α_{s}$ calculations of hadronic $W^{\pm} γ$ 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

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

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 $\sqrt{s} = 8 TeV$ 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

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

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

$W$ -Boson Production in Association with a Jet at Next-to-Next-to-Leading Order in Perturbative QCD
journal, August 2015

Analytic results for massless three-loop form factors
journal, April 2010

Top-Quark Decay at Next-to-Next-to-Leading Order in QCD
journal, January 2013

Scattering amplitudes with open loops
text, January 2012

Quark and gluon form factors to three loops
text, January 2009

Higgs Production with a Central Jet Veto at NNLL+NNLO
text, January 2010

Vector boson pair production at the LHC
text, January 2011

N-jettiness Subtractions for NNLO QCD Calculations
preprint, January 2015

Predictions for diphoton production at the LHC through NNLO in QCD
text, January 2016

Color singlet production at NNLO in MCFM
text, January 2016

Power Corrections in the N-jettiness Subtraction Scheme
text, January 2016

Electroweak-correction effects in gauge-boson pair production at the LHC
text, January 2001

Numerical Evaluation of Two-Dimensional Harmonic Polylogarithms
text, January 2001

Two-Loop QCD Helicity Amplitudes for $e^+e^- \to 3$~Jets
text, January 2002

The Higgs - photon - Z boson coupling revisited
text, January 1997

One-Loop Amplitudes for e^+ e^- to Four Partons
text, January 1997