Abstract:We present predictions for the Higgs boson decay into four bottom quarks in the standard model and via light exotic scalars retaining full bottom-quark mass dependence. In the SM the decay can be induced either by the Yukawa couplings of bottom quarks and top quarks or the electroweak couplings. We calculate the partial decay width and various differential distributions up to next-to-leading order in QCD. We find large QCD corrections for decay via Yukawa couplings, as large as 90% for the partial decay width,… Show more
“…The effects of parton shower in this decay process have been explored in [36,37]. The differential decay rates of H → b bj at NNLO and H → b bb b at NLO were presented in [38] and [39], respectively.…”
The Higgs boson decay to a massive bottom quark pair provides the dominant contribution to the Higgs boson width. We present an exact result for such a decay induced by the bottom quark Yukawa coupling with next-to-next-to-leading order (NNLO) QCD corrections. We have adopted the canonical differential equations in the calculation and obtained the result in terms of multiple polylogarithms. We also compute the contribution from the decay to four bottom quarks which consists of complete elliptic integrals or their one-fold integrals. The result in the small bottom quark mass limit coincides with the previous calculation using the large momentum expansion. The threshold expansion exhibits power divergent terms in the bottom quark velocity, which has a structure different from that in $${e}^{+}{e}^{-}\to t\overline{t }$$ but can be reproduced by computing the corresponding Coulomb Green function. The NNLO corrections significantly reduce the uncertainties from both the renormalization scale and the renormalization scheme of the bottom quark Yukawa coupling. Our result can be applied to a heavy scalar decay to a top quark pair.
“…The effects of parton shower in this decay process have been explored in [36,37]. The differential decay rates of H → b bj at NNLO and H → b bb b at NLO were presented in [38] and [39], respectively.…”
The Higgs boson decay to a massive bottom quark pair provides the dominant contribution to the Higgs boson width. We present an exact result for such a decay induced by the bottom quark Yukawa coupling with next-to-next-to-leading order (NNLO) QCD corrections. We have adopted the canonical differential equations in the calculation and obtained the result in terms of multiple polylogarithms. We also compute the contribution from the decay to four bottom quarks which consists of complete elliptic integrals or their one-fold integrals. The result in the small bottom quark mass limit coincides with the previous calculation using the large momentum expansion. The threshold expansion exhibits power divergent terms in the bottom quark velocity, which has a structure different from that in $${e}^{+}{e}^{-}\to t\overline{t }$$ but can be reproduced by computing the corresponding Coulomb Green function. The NNLO corrections significantly reduce the uncertainties from both the renormalization scale and the renormalization scheme of the bottom quark Yukawa coupling. Our result can be applied to a heavy scalar decay to a top quark pair.
“…For example, the partial decay width of H → qq has been calculated to N 4 LO [78][79][80], and the fully differential decay width for the same process is known to N 3 LO [81][82][83] for massless quarks and to NNLO [84] for massive quarks. Some interesting results obtained very recently are the calculation of Higgs decaying into two bottom quarks and an additional jet at NNLO [85], the study of the Higgs decay into four bottom quarks at NLO [86] and the investigation of the thrust distribution for Higgs going into a pair of bottom quarks or gluons plus an additional jet at NLO and approximate NNLO [87]. It is also worth mentioning that the NNLL resummed results are now available for the 2-jettiness distribution describing Higgs decays into bb and gg [88].…”
In this work we complete the investigation of the recently introduced energy-energy correlation (EEC) function in hadronic Higgs decays at next-to-leading order (NLO) in fixed-order perturbation theory in the limit of vanishing light quark masses. The full analytic NLO result for the previously unknown EEC in the H → $$ q\overline{q} $$
q
q
¯
+ X channel is given in terms of classical polylogarithms and cross-checked against a numerical calculation. In addition to that, we discuss further corrections to predictions of the Higgs EEC event shape variable, including quark mass corrections, effects of parton shower and hadronization. We also estimate the statistical error on the measurements of the Higgs EEC at future Higgs factories and compare with the current perturbative uncertainty.
“…Besides these partial decay widths, the simulation of Higgs decays at the differential level is paramount either to correct for experimental fiducial acceptances or for the study of differential distributions for angular observables and jet observables measured on the Higgs decays, which are sensitive to quark Yukawa couplings [188,189] or new physics states (see e.g. [190][191][192][193][194]). The future development of heavy and light jet tagging and quark/gluon jet discrimination techniques can be exploited to gain sensitivity to Yukawa couplings to light quarks.…”
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