TL;DR
This paper analytically computes two-loop Yukawa corrections to Higgs boson pair production at high energies, focusing on top quark loop exchanges, and provides precise analytic results for relevant integrals.
Contribution
It introduces two methods for expanding massive two-loop box integrals and delivers detailed analytic results for Higgs pair production corrections.
Findings
Precise results for transverse momenta above 150 GeV
Analytic expressions for 140 master integrals
Enhanced understanding of Higgs pair production mechanisms
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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