One-Loop Single-Real-Emission Contributions To Pp -> H Plus X At Next-To-Next-To-Next-To-Leading Order

I compute the contributions of the one-loop single-real-emission amplitudes, gg -> Hg, qg -> Hq, etc., to inclusive Higgs boson production through next-to-next-to-next-to-leading order ( (NLO)-L-3) in the strong coupling alpha(s). The next-to-leading and next-to-next-to-leading order terms are computed in closed form, in terms of G functions and the hypergeometric functions F-2(1) and F-3(2). I compute the (NLO)-L-3 terms as Laurent expansions in the dimensional regularization parameter through order (epsilon(1)). To obtain the (NLO)-L-3 terms, I perform an extended threshold expansion of the phase space integrals and map the resulting coefficients onto a basis of harmonic polylogarithms.