Exact top Yukawa corrections to Higgs boson decay into bottom quarks

In this paper we present the results of the exact computation of contributions to the Higgs boson decay into bottom quarks that are proportional to the top Yukawa coupling. Our computation demonstrates that approximate results already available in the literature turn out to be particularly accurate for the three physical mass values of the Higgs boson, the bottom and top quarks. Furthermore, contrary to expectations, the impact of these corrections on differential distributions relevant for the searches of the Higgs boson decaying into bottom quarks at the Large Hadron Collider is rather small.

Figure 1

Virtual $\mathcal{O}({\alpha }_s^2{y}_t)$ contributions to $H\to b\overline{b}$ decay.

Figure 2

Real-virtual $y_t$ contributions to $H\to b\overline{b}$ decay.

Figure 3

Transverse momentum distribution of the two b-jet system from $WH(bb)$ production in proton proton collisions at 14 TeV. Only corrections to the Higgs decay into bottom quarks are included.

Figure 4

Mass distribution of the two b-jet system from $WH(bb)$ production in proton proton collisions at 14 TeV. Only corrections to the Higgs decay into bottom quarks are included.