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Light-quark two-loop corrections to heavy-quark pair production in the gluon fusion channel


Bonciani, R; Ferroglia, A; Gehrmann, T; Manteuffel, A; Studerus, C (2013). Light-quark two-loop corrections to heavy-quark pair production in the gluon fusion channel. Journal of High Energy Physics, 2013:38.

Abstract

We calculate the two-loop corrections to heavy-quark pair production in the gluon fusion channel which arise from diagrams involving a closed light-quark loop. The calculation is carried out by keeping the exact dependence on the heavy-quark mass. The analytic results are written in terms of logarithms, classical polylogarithms Li_n (n=2,3,4), and genuine multiple polylogarithms Li_{2,2}. The functional arguments are rational expressions of two independent external invariants and they are chosen in such a way that the functions are real in all the physical phase-space points. Through systematic changes in the functional basis, we obtain expansions of the results in both the production threshold and small mass limits.

Abstract

We calculate the two-loop corrections to heavy-quark pair production in the gluon fusion channel which arise from diagrams involving a closed light-quark loop. The calculation is carried out by keeping the exact dependence on the heavy-quark mass. The analytic results are written in terms of logarithms, classical polylogarithms Li_n (n=2,3,4), and genuine multiple polylogarithms Li_{2,2}. The functional arguments are rational expressions of two independent external invariants and they are chosen in such a way that the functions are real in all the physical phase-space points. Through systematic changes in the functional basis, we obtain expansions of the results in both the production threshold and small mass limits.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:2013
Deposited On:11 Feb 2014 08:22
Last Modified:05 Apr 2016 17:31
Publisher:Springer
ISSN:1029-8479
Free access at:Related URL. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/JHEP12(2013)038
Related URLs:http://arxiv.org/abs/1309.4450

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