Two-loop mixed QCD-EW corrections to $q\overline{q}\to Hg$, $qg\to Hq$, and $\overline{q}g\to H\overline{q}$

Abstract

We compute the two-loop mixed QCD-Electroweak corrections to $q\overline{q}\to Hg$ and its crossed channels $qg\to Hq$, $\overline{q}g\to H\overline{q}$, limiting ourselves to the contribution of light virtual quarks. We compute the independent helicity amplitudes as well as the form factors for this process, expressing them in terms of hyperlogarithms with algebraic arguments. The Feynman integrals are computed by direct integration over Feynman parameters and the results are expressed in terms of a basis of rational prefactors.

arXiv comment24 pages, analytic expressions for the results in the ancillary files, updated citations and text to match published version

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• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist