DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Higgs boson gluon-fusion production beyond threshold in N3LO QCD

Abstract

In this study, we compute the gluon fusion Higgs boson cross-section at N3LO through the second term in the threshold expansion. This calculation constitutes a major milestone towards the full N3LO cross section. Our result has the best formal accuracy in the threshold expansion currently available, and includes contributions from collinear regions besides subleading corrections from soft and hard regions, as well as certain logarithmically enhanced contributions for general kinematics. We use our results to perform a critical appraisal of the validity of the threshold approximation at N3LO in perturbative QCD.

Authors:
 [1];  [2];  [1];  [3];  [4];  [5];  [1]
  1. Institute for Theoretical Physics, Zurich (Switzerland)
  2. Univ. Catholique de Louvain, Louvain-La-Neuve (Belgium)
  3. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  4. Univ. Zurich, Zurich (Switzerland)
  5. Nikhef, Amsterdam (The Netherlands); CERN, Geneva (Switzerland)
Publication Date:
Research Org.:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1226305
Report Number(s):
FERMILAB-PUB-14-461-T
Journal ID: ISSN 1029-8479; arXiv eprint number arXiv:1411.3584; TRN: US1500554
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: 2015; Journal Issue: 3; 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

Anastasiou, Charalampos, Duhr, Claude, Dulat, Falko, Furlan, Elisabetta, Gehrmann, Thomas, Herzog, Franz, and Mistlberger, Bernhard. Higgs boson gluon-fusion production beyond threshold in N3LO QCD. United States: N. p., 2015. Web. doi:10.1007/JHEP03(2015)091.
Anastasiou, Charalampos, Duhr, Claude, Dulat, Falko, Furlan, Elisabetta, Gehrmann, Thomas, Herzog, Franz, & Mistlberger, Bernhard. Higgs boson gluon-fusion production beyond threshold in N3LO QCD. United States. https://doi.org/10.1007/JHEP03(2015)091
Anastasiou, Charalampos, Duhr, Claude, Dulat, Falko, Furlan, Elisabetta, Gehrmann, Thomas, Herzog, Franz, and Mistlberger, Bernhard. Wed . "Higgs boson gluon-fusion production beyond threshold in N3LO QCD". United States. https://doi.org/10.1007/JHEP03(2015)091. https://www.osti.gov/servlets/purl/1226305.
@article{osti_1226305,
title = {Higgs boson gluon-fusion production beyond threshold in N3LO QCD},
author = {Anastasiou, Charalampos and Duhr, Claude and Dulat, Falko and Furlan, Elisabetta and Gehrmann, Thomas and Herzog, Franz and Mistlberger, Bernhard},
abstractNote = {In this study, we compute the gluon fusion Higgs boson cross-section at N3LO through the second term in the threshold expansion. This calculation constitutes a major milestone towards the full N3LO cross section. Our result has the best formal accuracy in the threshold expansion currently available, and includes contributions from collinear regions besides subleading corrections from soft and hard regions, as well as certain logarithmically enhanced contributions for general kinematics. We use our results to perform a critical appraisal of the validity of the threshold approximation at N3LO in perturbative QCD.},
doi = {10.1007/JHEP03(2015)091},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2015,
place = {United States},
year = {Wed Mar 18 00:00:00 EDT 2015},
month = {Wed Mar 18 00:00:00 EDT 2015}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 69 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Radiative corrections to Higgs boson production
journal, August 1991


Production of Higgs bosons in proton colliders. QCD corrections
journal, August 1991


Higgs boson production at the LHC
journal, October 1995


Higgs boson production at hadron colliders in NNLO QCD
journal, December 2002


Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders
journal, May 2002


NNLO corrections to the total cross section for Higgs boson production in hadron–hadron collisions
journal, August 2003


Two-loop light fermion contribution to Higgs production and decays
journal, August 2004


NLO electroweak corrections to Higgs boson production at hadron colliders
journal, December 2008


NNLO computational techniques: The cases and
journal, April 2009


Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion
journal, April 2009

  • Anastasiou, Charalampos; Boughezal, Radja; Petriello, Frank
  • Journal of High Energy Physics, Vol. 2009, Issue 04
  • DOI: 10.1088/1126-6708/2009/04/003

Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order
journal, November 2009


Finite top quark mass effects in NNLO Higgs boson production at LHC
journal, February 2010

  • Pak, Alexey; Rogal, Mikhail; Steinhauser, Matthias
  • Journal of High Energy Physics, Vol. 2010, Issue 2
  • DOI: 10.1007/JHEP02(2010)025

Soft-gluon resummation for Higgs boson production at hadron colliders
journal, July 2003

  • Catani, Stefano; Florian, Daniel de; Grazzini, Massimiliano
  • Journal of High Energy Physics, Vol. 2003, Issue 07
  • DOI: 10.1088/1126-6708/2003/07/028

Renormalization-group improved prediction for Higgs production at hadron colliders
journal, April 2009


Higher-order soft corrections to lepton pair and Higgs boson production
journal, December 2005


Threshold resummation for electroweak annihilation from DIS data
journal, January 2006


Higgs production in gluon fusion beyond NNLO
journal, September 2013


Updated Higgs cross section at approximate N 3 LO
journal, July 2014

  • Bonvini, Marco; Ball, Richard D.; Forte, Stefano
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 9
  • DOI: 10.1088/0954-3899/41/9/095002

Higgs boson gluon–fusion production at threshold in N 3 LO QCD
journal, October 2014


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


Leading large- x logarithms of the quark–gluon contributions to inclusive Higgs-boson and lepton-pair production
journal, October 2014


Real-virtual contributions to the inclusive Higgs cross-section at N3LO
journal, December 2013

  • Anastasiou, Charalampos; Duhr, Claude; Dulat, Falko
  • Journal of High Energy Physics, Vol. 2013, Issue 12
  • DOI: 10.1007/JHEP12(2013)088

Four-loop decoupling relations for the strong coupling
journal, January 2006


QCD decoupling at four loops
journal, June 2006


The two-loop soft current in dimensional regularization
journal, December 2013


Single soft gluon emission at two loops
journal, November 2013


The gell-mann-low function of QCD in the three-loop approximation
journal, June 1980


The three-loop QCD β-function and anomalous dimensions
journal, April 1993


The four-loop β-function in quantum chromodynamics
journal, May 1997


The four-loop QCD β-function and anomalous dimensions
journal, March 2005


Total cross-section for Higgs boson hadroproduction with anomalous Standard-Model interactions
journal, December 2011

  • Anastasiou, Charalampos; Buehler, Stephan; Herzog, Franz
  • Journal of High Energy Physics, Vol. 2011, Issue 12
  • DOI: 10.1007/JHEP12(2011)058

The three-loop splitting functions in QCD: the non-singlet case
journal, June 2004


The three-loop splitting functions in QCD: the singlet case
journal, July 2004


Soft triple-real radiation for Higgs production at N3LO
journal, July 2013

  • Anastasiou, Charalampos; Duhr, Claude; Dulat, Falko
  • Journal of High Energy Physics, Vol. 2013, Issue 7
  • DOI: 10.1007/JHEP07(2013)003

NNLO phase space master integrals for two-to-one inclusive cross sections in dimensional regularization
journal, November 2012

  • Anastasiou, Charalampos; Buehler, Stephan; Duhr, Claude
  • Journal of High Energy Physics, Vol. 2012, Issue 11
  • DOI: 10.1007/JHEP11(2012)062

Higgs boson production at the LHC: NNLO partonic cross sections through order ϵ and convolutions with splitting functions to N3LO
journal, April 2013


Scale dependence and collinear subtraction terms for Higgs production in gluon fusion at N3LO
journal, October 2013

  • Buehler, Stephan; Lazopoulos, Achilleas
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)096

Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO
journal, May 2001

  • Catani, Stefano; Florian, Daniel de; Grazzini, Massimiliano
  • Journal of High Energy Physics, Vol. 2001, Issue 05
  • DOI: 10.1088/1126-6708/2001/05/025

Parton distributions for the LHC
journal, July 2009


Quantifying comparisons of threshold resummations
journal, May 2014


Harmonic Polylogarithms
journal, February 2000

  • Remiddi, E.; Vermaseren, J. A. M.
  • International Journal of Modern Physics A, Vol. 15, Issue 05
  • DOI: 10.1142/S0217751X00000367

QCD corrections to Higgs-boson production at proton-proton colliders
text, January 1993


Inclusive Higgs boson cross-section for the LHC at 8 TeV
text, January 2012


Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion
text, January 2009

  • Anastasiou, C.; Boughezal, R.; Petriello, F.
  • Institute of Physics Publishing
  • DOI: 10.5167/uzh-30909

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


Parton distributions for the LHC
text, January 2007

  • Thorne, R. S.; Martin, A. D.; Stirling, W. J.
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/proc07-01/27

Soft triple-real radiation for Higgs production at N3LO
text, January 2013


Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N$^{3}$LO
text, January 2015


The two-loop soft current in dimensional regularization
text, January 2013


Leading large-x logarithms of the quark-gluon contributions to inclusive Higgs-boson and lepton-pair production
text, January 2014

  • Lo Presti, N. A.; Almasy, Andrea; Vogt, A.
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2014-04038

NNLO phase space master integrals for two-to-one inclusive cross sections in dimensional regularization
text, January 2012


Higgs boson gluon–fusion production at threshold in N3LO QCD
text, January 2014


Two-loop QCD corrections to the helicity amplitudes for H → 3 partons
text, January 2012


Total cross-section for Higgs boson hadroproduction with anomalous Standard-Model interactions
text, January 2011


Scale dependence and collinear subtraction terms for Higgs production in gluon fusion at N3LO
text, January 2013


NLO Electroweak Corrections to Higgs Boson Production at Hadron Colliders
text, January 2008


Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion
text, January 2008


Parton distributions for the LHC
text, January 2009


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


Two-Loop QCD Corrections to the Helicity Amplitudes for $H \to$ 3 partons
text, January 2011


Real-Virtual contributions to the inclusive Higgs cross-section at N3LO
text, January 2013


Updated Higgs cross section at approximate N$^3$LO
text, January 2014


Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
text, January 2014


Higgs boson production at hadron colliders in NNLO QCD
text, January 2002


The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
text, January 2004


Two-loop light fermion contribution to Higgs production and decays
text, January 2004


Harmonic Polylogarithms
text, January 1999


Works referencing / citing this record:

Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power
journal, January 2020

  • Beneke, Martin; Garny, Mathias; Jaskiewicz, Sebastian
  • Journal of High Energy Physics, Vol. 2020, Issue 1
  • DOI: 10.1007/jhep01(2020)094

Modeling BSM effects on the Higgs transverse-momentum spectrum in an EFT approach
journal, March 2017

  • Grazzini, Massimiliano; Ilnicka, Agnieszka; Spira, Michael
  • Journal of High Energy Physics, Vol. 2017, Issue 3
  • DOI: 10.1007/jhep03(2017)115

One-loop triple collinear splitting amplitudes in QCD
journal, September 2015

  • Badger, Simon; Buciuni, Francesco; Peraro, Tiziano
  • Journal of High Energy Physics, Vol. 2015, Issue 9
  • DOI: 10.1007/jhep09(2015)188

CP-even scalar boson production via gluon fusion at the LHC
journal, September 2016

  • Anastasiou, Charalampos; Duhr, Claude; Dulat, Falko
  • Journal of High Energy Physics, Vol. 2016, Issue 9
  • DOI: 10.1007/jhep09(2016)037

Gauge-independent M S ¯ $$ \overline{\mathrm{MS}} $$ renormalization in the 2HDM
journal, September 2016

  • Denner, Ansgar; Jenniches, Laura; Lang, Jean-Nicolas
  • Journal of High Energy Physics, Vol. 2016, Issue 9
  • DOI: 10.1007/jhep09(2016)115

Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions
journal, November 2017

  • Del Duca, V.; Laenen, E.; Magnea, L.
  • Journal of High Energy Physics, Vol. 2017, Issue 11
  • DOI: 10.1007/jhep11(2017)057

Subleading power factorization with radiative functions
journal, November 2019

  • Moult, Ian; Stewart, Iain W.; Vita, Gherardo
  • Journal of High Energy Physics, Vol. 2019, Issue 11
  • DOI: 10.1007/jhep11(2019)153

Planar master integrals for the two-loop light-fermion electroweak corrections to Higgs plus jet production
journal, December 2018

  • Becchetti, Matteo; Bonciani, Roberto; Casconi, Valerio
  • Journal of High Energy Physics, Vol. 2018, Issue 12
  • DOI: 10.1007/jhep12(2018)019

Di-Higgs boson peaks and top valleys: Interference effects in Higgs sector extensions
journal, January 2020


Showcasing H H production: Benchmarks for the LHC and HL-LHC
journal, March 2019


Phenomenology of on-shell Higgs production in the MSSM with complex parameters
journal, May 2017


Small-x phenomenology at the LHC and beyond: HELL 3.0 and the case of the Higgs cross section
journal, October 2018


Phenomenology of the inflation-inspired NMSSM at the electroweak scale
journal, January 2019

  • Hollik, Wolfgang Gregor; Liebler, Stefan; Moortgat-Pick, Gudrid
  • The European Physical Journal C, Vol. 79, Issue 1
  • DOI: 10.1140/epjc/s10052-019-6561-6

MSSM Higgs benchmark scenarios for Run 2 and beyond: the low $$\tan \beta $$ tan β region
journal, March 2019


MSSM Higgs boson searches at the LHC: benchmark scenarios for Run 2 and beyond
text, January 2019

  • Bagnaschi, Emanuele; Bahl, Henning; Fuchs, Elina
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2019-02905

MSSM Higgs boson searches at the LHC: benchmark scenarios for Run 2 and beyond
journal, July 2019


Phenomenology of on-shell Higgs production in the MSSM with complex parameters
text, January 2017

  • Liebler, Stefan; Patel, Shruti; Weiglein, Georg
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-05972

Phenomenology of the inflation-inspired NMSSM at the electroweak scale
text, January 2018

  • Hollik, Wolfgang; Liebler, Stefan; Moortgat-Pick, Gudrid
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2018-03675

Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions
text, January 2017


Planar master integrals for the two-loop light-fermion electroweak corrections to Higgs plus jet production
text, January 2018


CP-even scalar boson production via gluon fusion at the LHC
text, January 2016


Modeling BSM effects on the Higgs transverse-momentum spectrum in an EFT approach
text, January 2017

  • Grazzini, Massimiliano; Ilnicka, Agnieszka; Spira, Michael
  • Springer
  • DOI: 10.5167/uzh-147897

Di-Higgs boson peaks and top valleys: Interference effects in Higgs sector extensions
text, January 2020


Resummation Improved Rapidity Spectrum for Gluon Fusion Higgs Production
text, January 2017

  • Ebert, Markus; Michel, Johannes K. L.; Tackmann, Frank J.
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-00965

Soft expansion of double-real-virtual corrections to Higgs production at N3LO
text, January 2015


Modeling BSM effects on the Higgs transverse-momentum spectrum in an EFT approach
text, January 2017


CP-even scalar boson production via gluon fusion at the LHC
text, January 2016


High precision determination of the gluon fusion Higgs boson cross-section at the LHC
text, January 2016


Phenomenology of on-shell Higgs production in the MSSM with complex parameters
text, January 2016

  • Liebler, Stefan; Patel, Shruti; Weiglein, Georg
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2016-05826

MSSM Higgs Benchmark Scenarios for Run 2 and Beyond: the low $\tan\beta$ region
text, January 2019

  • Bahl, Henning; Liebler, Stefan; Stefaniak, Tim
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2019-01989

Phenomenology of the inflation-inspired NMSSM at the electroweak scale
text, January 2019

  • Hollik, Wolfgang Gregor; Liebler, Stefan; Moortgat-Pick, Gudrid
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2019-05664

High precision determination of the gluon fusion Higgs boson cross-section at the LHC
text, January 2016


Showcasing HH production: Benchmarks for the LHC and HL-LHC
text, January 2019


Models with extended Higgs sectors at future e⁺e⁻ colliders
text, January 2019


MSSM Higgs boson searches at the LHC: benchmark scenarios for Run 2 and beyond
text, January 2019


Models with Extended Higgs Sectors at Future $e^+ e^-$ Colliders
text, January 2019

  • Azevedo, Duarte; Ferreira, Pedro; Mühlleitner, M. Margarete
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2019-01969

Phenomenology of on-shell Higgs production in the MSSM with complex parameters
text, January 2016


Resummation Improved Rapidity Spectrum for Gluon Fusion Higgs Production
text, January 2017


Models with Extended Higgs Sectors at Future $e^+ e^-$ Colliders
text, January 2018


MSSM Higgs Boson Searches at the LHC: Benchmark Scenarios for Run 2 and Beyond
text, January 2018


Planar master integrals for the two-loop light-fermion electroweak corrections to Higgs plus jet production
text, January 2018


Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power
text, January 2019


Phenomenology of the inflation-inspired NMSSM at the electroweak scale
text, January 2019