Analytic decay width of the Higgs boson to massive bottom quarks at next-to-next-to-leading order in QCD

Abstract

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 $e^{+}{e}^{-}\to t\bar{t}$ 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.

30 pages, 12 figures

References in corpus (10)

• AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow
• Quark mass relations to four-loop order
• On Higgs decays to hadrons and the R-ratio at N^4LO
• Determining Feynman integrals with only input from linear algebra
• Exact Top Yukawa corrections to Higgs boson decay into bottom quarks
• Higgs decay into massive b-quarks at NNLO QCD in the nested soft-collinear subtraction scheme
• $\epsilon$-regular basis for non-polylogarithmic multiloop integrals and total cross section of the process $e^{+}{e}^{-}\to 2(Q\bar{Q})$
• Analytic two-loop master integrals for $tW$ production at hadron colliders: I
• The $Higgs\to b\bar{b},c\bar{c},gg$ measurement at CEPC
• Total cross sections of $e\gamma \to eX\bar{X}$ processes with $X=\mu ,\gamma ,e$ via multiloop methods

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