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The light-fermion contribution to the exact Higgs-gluon form factor in QCD

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arxiv 1907.06957 v3 pith:OVK5BZXF submitted 2019-07-16 hep-ph

classification hep-ph
keywords formgammaagreesanalyticalapproximationconfirmscontributioncontributions
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

An analytical expression for the three-loop form factors for $ggH$ and $\gamma\gamma H$ is derived for the contributions which involve massless quark loops. The result is expressed in terms of harmonic polylogarithms. It fully agrees with previously obtained kinematical expansions, and confirms a recent semi-numerical approximation which extends over the full kinematic range.

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Cited by 2 Pith papers

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  1. Top quark mass effects in $gg\to ZZ$ at two loops and off-shell Higgs interference

    hep-ph 2019-08 conditional novelty 7.0 of 10

    New Padé approximants built from large-mass and threshold expansions give the two-loop top-quark mass dependence of the gg to ZZ box form factors relevant for off-shell Higgs interference.

  2. Three-loop form factors for Higgs boson pair production in the large top mass limit

    hep-ph 2019-09 accept novelty 6.0 of 10

    New 1/m_t^2 expansion terms, up to 1/m_t^8 for the box form factors and 1/m_t^14 for the triangle form factor, are computed for the three-loop gg to HH amplitude.

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