Higgs boson pair production via gluon fusion at N3LO in QCD

Chen, Long-Bin; Li, Hai Tao; Shao, Hua-Sheng; Wang, Jian

doi:10.1016/j.physletb.2020.135292

Title: Higgs boson pair production via gluon fusion at N³LO in QCD

Journal Article · 14 February 2020 · Physics Letters. B

DOI: https://doi.org/10.1016/j.physletb.2020.135292 · OSTI ID:1599698

Chen, Long-Bin ^[1];

^[2]; Shao, Hua-Sheng ^[3];

^[4]

Guangzhou Univ. (China)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sorbonne Univ., Paris (France); Centre National de la Recherche Scientifique (CNRS), Paris (France). Lab. de Physique Théorique et Hautes Energies (LPTHE)
Shandong Univ. (China)

We present next-to-next-to-next-to-leading order ( $N^{3} LO$ ) QCD predictions for the Higgs boson pair production via gluon fusion at hadron colliders in the infinite top-quark mass limit. Besides the inclusive total cross sections at various collision energies, we also provide the invariant mass distribution of the Higgs boson pair. Our results show that the $N^{3} LO$ QCD corrections enhance the next-to-next-to-leading order cross section by 3.0% (2.7%) at $\sqrt{s} = 13 (100) TeV$ , while the scale uncertainty is reduced substantially below 3% (2%). We also find that a judicious scale choice can significantly improve the perturbative convergence. For the invariant mass distribution, our calculation demonstrates that the N³LO corrections improve the scale dependence but almost do not change the shape.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: National Natural Science Foundation of China (NSFC); USDOE Laboratory Directed Research and Development (LDRD) Program; Institut Lagrange de Paris (ILP) Labex; German Federal Ministry of Education and Research (BMBF); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001; 11747051; 11805042

OSTI ID:: 1599698

Alternate ID(s):: OSTI ID: 1630863

Report Number(s):: LA-UR-19-30443; TRN: US2200703

Journal Information:: Physics Letters. B, Vol. 803, Issue C; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (47)

Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC Aad, G.; Abajyan, T.; Abbott, B. Physics Letters B, Vol. 716, Issue 1 https://doi.org/10.1016/j.physletb.2012.08.020	journal	September 2012
Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M. Physics Letters B, Vol. 716, Issue 1 https://doi.org/10.1016/j.physletb.2012.08.021	journal	September 2012
Measurements of the Higgs boson production and decay rates and coupling strengths using pp collision data at $$\sqrt{s}=7$$ s = 7 and 8 TeV in the ATLAS experiment Aad, G.; Abbott, B.; Abdallah, J. The European Physical Journal C, Vol. 76, Issue 1 https://doi.org/10.1140/epjc/s10052-015-3769-y	journal	January 2016
Combined measurements of Higgs boson couplings in proton–proton collisions at $$\sqrt{s}=13\,\text {Te}\text {V} $$ s = 13 Te Sirunyan, A. M.; Tumasyan, A.; Adam, W. The European Physical Journal C, Vol. 79, Issue 5 https://doi.org/10.1140/epjc/s10052-019-6909-y	journal	May 2019
New physics effect on the Higgs self-coupling Kanemura, Shinya; Kiyoura, Shingo; Okada, Yasuhiro Physics Letters B, Vol. 558, Issue 3-4 https://doi.org/10.1016/S0370-2693(03)00268-5	journal	April 2003
Higgs pair production at the LHC with NLO and parton-shower effects Frederix, R.; Frixione, S.; Hirschi, V. Physics Letters B, Vol. 732 https://doi.org/10.1016/j.physletb.2014.03.026	journal	May 2014
Neutral Higgs-boson pair production at hadron colliders: QCD corrections Dawson, S.; Dittmaier, S.; Spira, M. Physical Review D, Vol. 58, Issue 11 https://doi.org/10.1103/PhysRevD.58.115012	journal	November 1998
Pair production of neutral Higgs particles in gluon-gluon collisions Plehn, T.; Spira, M.; Zerwas, P. M. Nuclear Physics B, Vol. 479, Issue 1-2 https://doi.org/10.1016/0550-3213(96)00418-X	journal	November 1996
Gluon fusion into Higgs pairs at NLO QCD and the top mass scheme Baglio, J.; Campanario, F.; Glaus, S. The European Physical Journal C, Vol. 79, Issue 6 https://doi.org/10.1140/epjc/s10052-019-6973-3	journal	May 2019
Two-loop virtual corrections to Higgs pair production de Florian, Daniel; Mazzitelli, Javier Physics Letters B, Vol. 724, Issue 4-5 https://doi.org/10.1016/j.physletb.2013.06.046	journal	July 2013
Higgs Boson Pair Production at Next-to-Next-to-Leading Order in QCD de Florian, Daniel; Mazzitelli, Javier Physical Review Letters, Vol. 111, Issue 20 https://doi.org/10.1103/PhysRevLett.111.201801	journal	November 2013
Virtual corrections to Higgs boson pair production in the large top quark mass limit Grigo, Jonathan; Melnikov, Kirill; Steinhauser, Matthias Nuclear Physics B, Vol. 888 https://doi.org/10.1016/j.nuclphysb.2014.09.003	journal	November 2014
On the Higgs boson pair production at the LHC Grigo, Jonathan; Hoff, Jens; Melnikov, Kirill Nuclear Physics B, Vol. 875, Issue 1 https://doi.org/10.1016/j.nuclphysb.2013.06.024	journal	October 2013
Higgs boson pair production: Top quark mass effects at NLO and NNLO Grigo, Jonathan; Hoff, Jens; Steinhauser, Matthias Nuclear Physics B, Vol. 900 https://doi.org/10.1016/j.nuclphysb.2015.09.012	journal	November 2015
On the two-loop virtual QCD corrections to Higgs boson pair production in the standard model Degrassi, Giuseppe; Giardino, Pier Paolo; Gröber, Ramona The European Physical Journal C, Vol. 76, Issue 7 https://doi.org/10.1140/epjc/s10052-016-4256-9	journal	July 2016
Analytical Method for Next-to-Leading-Order QCD Corrections to Double-Higgs Production Bonciani, Roberto; Degrassi, Giuseppe; Giardino, Pier Paolo Physical Review Letters, Vol. 121, Issue 16 https://doi.org/10.1103/PhysRevLett.121.162003	journal	October 2018
On the convergence rate of the component-by-component construction of good lattice rules Dick, Josef Journal of Complexity, Vol. 20, Issue 4 https://doi.org/10.1016/j.jco.2003.11.008	journal	August 2004
Higgs Boson Gluon-Fusion Production in QCD at Three Loops Anastasiou, Charalampos; Duhr, Claude; Dulat, Falko Physical Review Letters, Vol. 114, Issue 21 https://doi.org/10.1103/PhysRevLett.114.212001	journal	May 2015
Vector-Boson Fusion Higgs Production at Three Loops in QCD Dreyer, Frédéric A.; Karlberg, Alexander Physical Review Letters, Vol. 117, Issue 7 https://doi.org/10.1103/PhysRevLett.117.072001	journal	August 2016
Vector-boson fusion Higgs pair production at N 3 LO Dreyer, Frédéric A.; Karlberg, Alexander Physical Review D, Vol. 98, Issue 11 https://doi.org/10.1103/PhysRevD.98.114016	journal	December 2018
Precision predictions at N 3 LO for the Higgs boson rapidity distribution at the LHC Dulat, Falko; Mistlberger, Bernhard; Pelloni, Andrea Physical Review D, Vol. 99, Issue 3 https://doi.org/10.1103/PhysRevD.99.034004	journal	February 2019
Effective gauge theory and the effect of heavy quarks in Higgs boson decays Inami, Takeo; Kubota, Takahiro; Okada, Yasuhiro Zeitschrift für Physik C Particles and Fields, Vol. 18, Issue 1 https://doi.org/10.1007/BF01571710	journal	March 1983
Hadronic Higgs Boson Decay to Order α s 4 Chetyrkin, K. G.; Kniehl, B. A.; Steinhauser, M. Physical Review Letters, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevLett.79.353	journal	July 1997
QCD decoupling at four loops Chetyrkin, K. G.; Kühn, J. H.; Sturm, C. Nuclear Physics B, Vol. 744, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2006.03.020	journal	June 2006
Five-Loop Running of the QCD Coupling Constant Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H. Physical Review Letters, Vol. 118, Issue 8 https://doi.org/10.1103/PhysRevLett.118.082002	journal	February 2017
iHixs 2 — Inclusive Higgs cross sections Dulat, Falko; Lazopoulos, Achilleas; Mistlberger, Bernhard Computer Physics Communications, Vol. 233 https://doi.org/10.1016/j.cpc.2018.06.025	journal	December 2018
Next-to-Next-to-Leading-Order Subtraction Formalism in Hadron Collisions and its Application to Higgs-Boson Production at the Large Hadron Collider Catani, Stefano; Grazzini, Massimiliano Physical Review Letters, Vol. 98, Issue 22 https://doi.org/10.1103/PhysRevLett.98.222002	journal	May 2007
Summing Sudakov logarithms in B → X s γ in effective field theory Bauer, Christian W.; Fleming, Sean; Luke, Michael Physical Review D, Vol. 63, Issue 1 https://doi.org/10.1103/PhysRevD.63.014006	journal	December 2000
An effective field theory for collinear and soft gluons: Heavy to light decays Bauer, Christian W.; Fleming, Sean; Pirjol, Dan Physical Review D, Vol. 63, Issue 11 https://doi.org/10.1103/PhysRevD.63.114020	journal	May 2001
Invariant operators in collinear effective theory Bauer, Christian W.; Stewart, Iain W. Physics Letters B, Vol. 516, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)00902-9	journal	September 2001
Soft-collinear factorization in effective field theory Bauer, Christian W.; Pirjol, Dan; Stewart, Iain W. Physical Review D, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevD.65.054022	journal	February 2002
Soft-collinear effective theory and heavy-to-light currents beyond leading power Beneke, M.; Chapovsky, A. P.; Diehl, M. Nuclear Physics B, Vol. 643, Issue 1-3 https://doi.org/10.1016/S0550-3213(02)00687-9	journal	November 2002
Rapidity Renormalization Group Chiu, Jui-yu; Jain, Ambar; Neill, Duff Physical Review Letters, Vol. 108, Issue 15 https://doi.org/10.1103/PhysRevLett.108.151601	journal	April 2012
Analytic regularization in Soft-Collinear Effective Theory Becher, Thomas; Bell, Guido Physics Letters B, Vol. 713, Issue 1 https://doi.org/10.1016/j.physletb.2012.05.016	journal	June 2012
Transverse Parton Distribution Functions at Next-to-Next-to-Leading Order: The Quark-to-Quark Case Gehrmann, Thomas; Lübbert, Thomas; Yang, Li Lin Physical Review Letters, Vol. 109, Issue 24 https://doi.org/10.1103/PhysRevLett.109.242003	journal	December 2012
Fully differential Higgs pair production in association with a W boson at next-to-next-to-leading order in QCD Li, Hai Tao; Wang, Jian Physics Letters B, Vol. 765 https://doi.org/10.1016/j.physletb.2016.12.030	journal	February 2017
FeynRules 2.0 — A complete toolbox for tree-level phenomenology Alloul, Adam; Christensen, Neil D.; Degrande, Céline Computer Physics Communications, Vol. 185, Issue 8 https://doi.org/10.1016/j.cpc.2014.04.012	journal	August 2014
Generating Feynman diagrams and amplitudes with FeynArts 3 Hahn, Thomas Computer Physics Communications, Vol. 140, Issue 3 https://doi.org/10.1016/S0010-4655(01)00290-9	journal	November 2001
Collier: A fortran-based complex one-loop library in extended regularizations Denner, Ansgar; Dittmaier, Stefan; Hofer, Lars Computer Physics Communications, Vol. 212 https://doi.org/10.1016/j.cpc.2016.10.013	journal	March 2017
Three-jet cross sections to next-to-leading order Frixione, S.; Kunszt, Z.; Signer, A. Nuclear Physics B, Vol. 467, Issue 3 https://doi.org/10.1016/0550-3213(96)00110-1	journal	May 1996
A general approach to jet cross sections in QCD Frixione, Stefano Nuclear Physics B, Vol. 507, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00574-9	journal	December 1997
FIRE5: A C++ implementation of Feynman Integral REduction Smirnov, A. V. Computer Physics Communications, Vol. 189 https://doi.org/10.1016/j.cpc.2014.11.024	journal	April 2015
PDF4LHC recommendations for LHC Run II Butterworth, Jon; Carrazza, Stefano; Cooper-Sarkar, Amanda Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 2 https://doi.org/10.1088/0954-3899/43/2/023001	journal	January 2016
New parton distribution functions from a global analysis of quantum chromodynamics Dulat, Sayipjamal; Hou, Tie-Jiun; Gao, Jun Physical Review D, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevD.93.033006	journal	February 2016
Parton distributions in the LHC era: MMHT 2014 PDFs Harland-Lang, L. A.; Martin, A. D.; Motylinski, P. The European Physical Journal C, Vol. 75, Issue 5 https://doi.org/10.1140/epjc/s10052-015-3397-6	journal	May 2015
LHAPDF6: parton density access in the LHC precision era Buckley, Andy; Ferrando, James; Lloyd, Stephen The European Physical Journal C, Vol. 75, Issue 3 https://doi.org/10.1140/epjc/s10052-015-3318-8	journal	March 2015
AdS3/CFT2 and q-Poincare' superalgebras Stromwall, Joakim; Torrielli, Alessandro arXiv https://doi.org/10.48550/arxiv.1606.02217	preprint	January 2016