Analytic next-to-leading order Yukawa and Higgs boson self-coupling corrections to $gg\to HH$ at high energies

TL;DR

This paper calculates high-energy electroweak corrections to Higgs boson pair production, providing analytic two-loop form factors that improve the precision of theoretical predictions for collider experiments.

Contribution

It introduces a deep expansion of master integrals and analytic results for two-loop form factors in Higgs pair production, enhancing accuracy at high energies.

Findings

Analytic two-loop form factors derived for high-energy Higgs pair production.

Good agreement with recent numerical results.

Precise predictions for small Higgs transverse momentum values.

Abstract

We consider electroweak corrections to Higgs boson pair production, taking into account the top quark Yukawa and Higgs boson self couplings. Using differential equations we compute a deep expansion of all master integrals in the high-energy limit and present analytic results for the two-loop box-type form factors. We show that precise numerical results can be obtained even for relatively small values of the Higgs boson transverse momentum. We compare against recent numerical results and find good agreement.