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One-loop single-real-emission contributions to pp→H+X at next-to-next-to-next-to-leading order

William B. Kilgore*

  • Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA

  • *kilgore@bnl.gov
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Phys. Rev. D 89, 073008 – Published 8 April, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.073008

Abstract

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 Γ functions and the hypergeometric functions F12 and F23. 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.

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Phys. Rev. D 89, 073008– Published 8 April, 2014
  • Received 31 January 2014

© 2014 American Physical Society

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