One-loop single-real-emission contributions to pp → H + 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 (N³LO) in the strong coupling αs. 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 2F¹ and 3F². I compute the N³LO terms as Laurent expansions in the dimensional regularization parameter through order (ε¹). To obtain the N³LO terms, I perform an extended threshold expansion of the phase space integrals and map the resulting coefficients onto a basis of harmonic polylogarithms. [ABSTRACT FROM AUTHOR]