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Abstract
We compute the two-loop mixed QCD-Electroweak (QCD-EW) corrections to the production of a Higgs boson and a gluon in gluon fusion through a loop of light quarks. The relevant four-point functions with internal massive propagators are expressed as multiple polylogarithms with algebraic arguments. We perform the calculation by integration over Feynman parameters and, independently, by the method of differential equations. We compute the two independent helicity amplitudes for the process and we find that they are both finite. Moreover, we observe a weight drop when all gluons have the same helicity. We also provide a simplified expression for the all-plus helicity amplitude, which is optimised for fast and reliable numerical evaluation in the physical region.
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1 Institute for Theoretical Particle Physics, KIT, Karlsruhe, Germany (GRID:grid.7892.4) (ISNI:0000 0001 0075 5874); RWTH Aachen University, Institute for Theoretical Particle Physics and Cosmology, Aachen, Germany (GRID:grid.1957.a) (ISNI:0000 0001 0728 696X)
2 All Souls College, University of Oxford, Oxford, U.K. (GRID:grid.4991.5) (ISNI:0000 0004 1936 8948)
3 Skobeltsyn Institute of Nuclear Physics of Moscow State University, Moscow, Russia (GRID:grid.14476.30) (ISNI:0000 0001 2342 9668); Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia (GRID:grid.14476.30)
4 University of Oxford, Clarendon Laboratory, Rudolf Peierls Centre for Theoretical Physics, Oxford, U.K. (GRID:grid.4991.5) (ISNI:0000 0004 1936 8948)