Analysis of two-loop amplitude for gg → HH by bottom quarks reveals corrections at low invariant mass, indicating significant computational complexity.
A bstract We consider the two-loop amplitude of gg → HH 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.
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Hu et al. (2025) studied this question.
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