A general numerical framework is described for high-precision evaluation and analytic continuation of multivariate hypergeometric functions via Pfaffian systems and the Frobenius method.
Two-loop $gg \to Hg$ amplitude mediated by a nearly massless quark
2 Pith papers cite this work. Polarity classification is still indexing.
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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.
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2026 2verdicts
UNVERDICTED 2representative citing papers
Analytic two-loop electroweak corrections to four-point amplitudes are computed in the high-energy limit of the Standard Model, applied to Higgs pair production where logarithmic and power corrections yield sizeable effects.
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Numerical analytical continuation of multivariate hypergeometric functions
A general numerical framework is described for high-precision evaluation and analytic continuation of multivariate hypergeometric functions via Pfaffian systems and the Frobenius method.