Higgs decay into massive b -quarks at NNLO QCD in the nested soft-collinear subtraction scheme
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Springer
Received: December 4, 2019 Accepted: January 13, 2020 Published: January 30, 2020
Arnd Behringa and Wojciech Bizo´ na,b a
Institut f¨ ur Theoretische Teilchenphysik (TTP), KIT, Wolfgang-Gaede-Straße 1, 76131 Karlsruhe, Germany b Institut f¨ ur Kernphysik (IKP), KIT, Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany
E-mail: [email protected], [email protected] Abstract: We present a fully differential description of a decay of a scalar Higgs boson into massive b-quarks valid at next-to-next-to-leading order (NNLO) in perturbative quantum chromodynamics (QCD). We work within the nested soft-collinear subtraction scheme extended to accommodate massive partons. We include the loop-induced contribution involving a Higgs coupling to a top quark. We test our calculation against results existing in the literature, comparing the predictions for the total decay width and jet rates. Keywords: Heavy Quark Physics, Higgs Physics, Perturbative QCD ArXiv ePrint: 1911.11524
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP01(2020)189
JHEP01(2020)189
Higgs decay into massive b-quarks at NNLO QCD in the nested soft-collinear subtraction scheme
Contents 1
2 General considerations 2.1 Notation 2.2 Outline of the subtraction scheme 2.3 IR poles of virtual amplitudes 2.4 Phase-space parametrisation 2.5 Pole vs. MS Yukawa coupling
2 2 3 5 6 9
3 H → b¯ b decay at NLO 3.1 Real contribution 3.2 Virtual contribution 3.3 Pole cancellation
10 10 11 12
4 H → b¯ b decay at NNLO 4.1 Double-real contribution 4.2 Real-virtual contribution 4.3 Double-virtual contribution 4.4 Pole cancellation 4.5 Top-quark contribution to the H → b¯b decay
12 13 16 17 18 19
5 Results 5.1 Overview of the calculation 5.2 Total width of the H → b¯b decay at NNLO 5.3 Jet rates for H → b¯b at NNLO
20 21 21 23
6 Conclusions
25
A Renormalisation
26
B Useful formulae B.1 Anomalous dimensions for IR factorisation B.2 Coefficients for on-shell to MS-scheme conversion
28 28 29
C Factorisation formulae C.1 Single-collinear factorisation C.2 Single-soft factorisation (tree-level) C.3 Single-soft factorisation (one-loop) C.4 Double-soft factorisation
30 30 31 31 32
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JHEP01(2020)189
1 Introduction
D Integrated subtraction terms D.1 Single-collinear subtraction terms D.2 Single-soft subtraction terms (tree-level) D.3 Single-soft subtraction terms (one-loop) D.4 Double-soft subtraction terms
1
33 33 35 38 39
Introduction
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JHEP01(2020)189
After the Higgs boson discovery by the ATLAS and CMS collaborations in 2012, the study of Higgs boson properties has become one of the major research avenues in particle physics. Since the mass of the Higgs boson has already been precisely measured [1], all couplings between the Higgs boson and other Standard Model (SM) particles can be accurately predicted. Nevertheless, these couplings can be modified by New Physics that lies beyond the SM. Hence, actual measurements of those couplings can provide important constraints on many extensi
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