Two-loop $gg\to Hg$ amplitude mediated by a nearly massless quark

Abstract

We analytically compute the two-loop scattering amplitude $gg\to Hg$ assuming that the mass of the quark, that mediates the ggH interaction, is vanishingly small. Our computation provides an important ingredient required to improve the theoretical description of the top-bottom interference effect in Higgs boson production in gluon fusion, and to elucidate its impact on the Higgs boson transverse momentum distribution.

Comments: 29 pages, 4 figures, analytical results attached as ancillary files, v2 minor typos corrected, published on JHEP