Three-loop mixed QCD-electroweak corrections to Higgs boson gluon fusion

Abstract

We compute the contribution of three-loop mixed QCD-electroweak corrections (${\alpha }_S^2{\alpha }^2$) to the $gg\to H$ scattering amplitude. We employ the method of differential equations to compute the relevant integrals and express them in terms of Goncharov polylogarithms.

21 pages, associated ancillary files distributed with the paper or available from external repository. Correct typos and references

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• Electroweak corrections to Higgs boson pair production: The top-Yukawa and self-coupling contributions
• Evaluation of multi-loop multi-scale Feynman integrals for precision physics
• Mixed QCD-electroweak corrections to Higgs production via gluon fusion in the small mass approximation
• Resummed Higgs boson cross section at next-to SV to $\mathrm{NNLO}+\overline{\mathrm{NNLL}}$
• One-loop weak corrections to Higgs production
• Recent Developments in Gluon Fusion Higgs Calculations