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arXiv · 2207.02587

Higgs boson contribution to the leading two-loop Yukawa corrections to $gg\to HH$

Joshua Davies·Go Mishima·Kay Schönwald·Matthias Steinhauser·Hantian Zhang
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Abstract

We analytically compute two-loop Yukawa corrections to Higgs boson pair production in the high-energy limit. Such corrections are generated by an exchange of a Higgs boson between the virtual top quark lines. We propose two approaches to obtain expansions of the massive two-loop box integrals and show that precise results are obtained for transverse momenta of the Higgs bosons above about 150 GeV. We discuss in detail the computation of all 140 master integrals and present analytic results.

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Joshua Davies, Go Mishima, Kay Schönwald, Matthias Steinhauser, Hantian Zhang. 2022-07-06. Higgs boson contribution to the leading two-loop Yukawa corrections to $gg\to HH$. https://doi.org/10.1007/jhep08(2022)259

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