Uncertainties of QCD predictions for Higgs boson decay into bottom quarks at NNLO and beyond

Abstract

An importance of the detailed studies of the theoretical QCD predictions for the decay width of Standard Model Higgs boson into bottom quarks, in the case when $\rm{M_H\leq 2M_W}$, is emphasized. The effects of higher order perturbative QCD corrections up to order $\alpha_s^4$-terms are considered. The resummations of the $\pi^2$ terms resulting from analytical continuation, typical of Minkowskian quantities, is undertaken for the $\Gamma(H\to\bar{b}b)$ decay width. The uncertainties in the calculation of this decay width are analyzed.