Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit

Davies, Joshua; Herren, Florian; Mishima, Go; Steinhauser, Matthias

doi:10.1007/jhep01(2022)049

Title: Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit

Abstract

In this paper we consider the next-to-next-to-leading order total cross section of Higgs boson pair production in the large top quark mass limit and compute four expansion terms in 1$$ {m}_t^2 $$. To this end, we analytically compute the real-virtual and double-real contributions to the total cross section and combine them with the existing virtual contribution. Good convergence is observed below the top quark threshold, which makes our results a valuable input for approximation methods which aim for next-to-next-to-leading order corrections over the whole kinematic range. We present details on various steps of our calculation; in particular, we provide results for three- and four-particle phase-space master integrals and describe in detail the evaluation of the collinear counterterms.

Authors:

Davies, Joshua ^[1]; Herren, Florian ^[2]; Mishima, Go ^[3]; Steinhauser, Matthias ^[4]

Univ. of Sussex, Brighton (United Kingdom)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Tohoku Univ., Sendai (Japan)
Karlsruhe Inst. of Technology (KIT) (Germany). Inst. für Theoretische Teilchenphysik

Publication Date:: Tue Jan 11 00:00:00 EST 2022

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

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); German Research Foundation (DFG); JSPS KAKENHI; Science and Technology Facilities Council (STFC)

OSTI Identifier:: 1832806

Report Number(s):: FERMILAB-PUB-21-470-T; P3H-21-068; TTP21-034; TU-1133; arXiv:2110.03697
Journal ID: ISSN 1029-8479; oai:inspirehep.net:1940681; TRN: US2216776

Grant/Contract Number:: AC02-07CH11359; 396021762; JP20J00328; ST/T00102X/1

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: 2022; Journal Issue: 1; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NLO computations; QCD phenomenology

Citation Formats


                    Davies, Joshua, Herren, Florian, Mishima, Go, and Steinhauser, Matthias. Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit.  United States: N. p., 2022. 
Web.  doi:10.1007/jhep01(2022)049.

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                    Davies, Joshua, Herren, Florian, Mishima, Go, & Steinhauser, Matthias. Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit.  United States.  https://doi.org/10.1007/jhep01(2022)049

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                    Davies, Joshua, Herren, Florian, Mishima, Go, and Steinhauser, Matthias. Tue .  
"Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit".  United States.  https://doi.org/10.1007/jhep01(2022)049.  https://www.osti.gov/servlets/purl/1832806.

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@article{osti_1832806,

  title        = {Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit},

  author       = {Davies, Joshua and Herren, Florian and Mishima, Go and Steinhauser, Matthias},

  abstractNote = {In this paper we consider the next-to-next-to-leading order total cross section of Higgs boson pair production in the large top quark mass limit and compute four expansion terms in 1$ {m}_t^2 $. To this end, we analytically compute the real-virtual and double-real contributions to the total cross section and combine them with the existing virtual contribution. Good convergence is observed below the top quark threshold, which makes our results a valuable input for approximation methods which aim for next-to-next-to-leading order corrections over the whole kinematic range. We present details on various steps of our calculation; in particular, we provide results for three- and four-particle phase-space master integrals and describe in detail the evaluation of the collinear counterterms.},

  doi          = {10.1007/jhep01(2022)049},

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

  number       = 1,

  volume       = 2022,

  place        = {United States},

  year         = {Tue Jan 11 00:00:00 EST 2022},

  month        = {Tue Jan 11 00:00:00 EST 2022}

}

Copy to clipboard

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Works referenced in this record:

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Title: Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit

Abstract

Citation Formats

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Multiple polylogarithms, cyclotomy and modular complexes journal, January 1998

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journal, January 1998

Pair production of neutral Higgs particles in gluon-gluon collisions
journal, November 1996

Double-Higgs boson production in the high-energy limit: planar master integrals
journal, March 2018

Asymptotic freedom in parton language
journal, August 1977

$g g \to H H$ : Combined uncertainties
journal, March 2021

On the Higgs boson pair production at the LHC
journal, October 2013

Differential equations for two-loop four-point functions
journal, July 2000

Analytical Method for Next-to-Leading-Order QCD Corrections to Double-Higgs Production
journal, October 2018

Double Higgs boson production at NLO in the high-energy limit: complete analytic results
journal, January 2019

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

LiteRed 1.4: a powerful tool for reduction of multiloop integrals
journal, June 2014

Asymptotic expansion of Feynman integrals near threshold
journal, June 1998

Indirect probes of the trilinear Higgs coupling: gg → h and h → γγ
journal, October 2016

MATAD: a program package for the computation of MAssive TADpoles
journal, March 2001

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

The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
journal, October 2021

MT: A Mathematica package to compute convolutions
journal, February 2014

Top quark mass dependence of the Higgs boson-gluon form factor at three loops
journal, August 2019

Reducing differential equations for multiloop master integrals
journal, April 2015