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arxiv: 1610.03747 · v2 · pith:IWFO6YRInew · submitted 2016-10-12 · ✦ hep-ph

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

classification ✦ hep-ph
keywords amplitudebosonhiggsquarktwo-loopanalyticallyassumingcomputation
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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.

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    A general numerical framework is described for high-precision evaluation and analytic continuation of multivariate hypergeometric functions via Pfaffian systems and the Frobenius method.