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تسجيل مستخدم جديدOne-loop Single Real Emission Contributions to Inclusive Higgs Production at NNNLO
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William B. Kilgore
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I discuss the contributions of the one-loop single-real-emission amplitudes, $ggto H g$, $qgto H q$, etc. to inclusive Higgs boson production through next-to-next-to-next-to-leading order in the strong coupling.
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I compute the contributions of the one-loop single-real-emission amplitudes, $ggto H g$, $qgto H q$, etc., to inclusive Higgs boson production through next-to-next-to-next-to-leading order (N^3LO) in the strong coupling $alpha_s$. The next-to-leading
(NLO) and next-to-next-to-leading order (NNLO) terms are computed in closed form, in terms of $Gamma$-functions and the hypergeometric functions ${}_{2}F_{1}$ and ${}_{3}F_{2}$. I compute the nnlo terms as Laurent expansions in the dimensional regularization parameter through order $(epsilon^{1})$. To obtain the nnlo terms, I perform an extended threshold expansion of the phase space integrals and map the resulting coefficients onto a basis of harmonic polylogarithms.
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