$gg\rightarrow HH$ amplitude induced by bottom quarks at two-loop level: planar master integrals

Zhenghong Hu; Tao Liu; Jin Min Yang

paper

$g g \to H H$ amplitude induced by bottom quarks at two-loop level: planar master integrals

arXiv:2503.10051

Abstract

We consider the two-loop amplitude of $g g \to H H$ mediated by bottom quarks, which provides a correction of percent level at leading order in the low invariant mass region. In order to compute the corresponding master integrals, we perform an expansion for the bottom quark mass, using the method of differential equations and fixing the boundary constants by a numerical approach. The results of 177 planar master integrals which are expressed in terms of multiple polylogarithms are provided.

arXiv comment20 pages. Version accepted for publication in JHEP. Some MIs are expanded to high orer

gg→HH amplitude induced by bottom quarks at two-loop level: planar master integrals

Abstract

$g g \to H H$ amplitude induced by bottom quarks at two-loop level: planar master integrals