First Forcer results on deep-inelastic scattering and related quantities



Ruijl, B, Ueda, T, Vermaseren, JAM, Davies, J and Vogt, A
(2016) First Forcer results on deep-inelastic scattering and related quantities. .

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Abstract

© Copyright owned by the author(s) under the terms of the Creative Commons. We present results on the fourth-order splitting functions and coefficient functions obtained using FORCER, a four-loop generalization of the MINCER program for the parametric reduction of selfenergy integrals. We have computed the respective lowest three even-N and odd-N moments for the non-singlet splitting functions and the non-singlet coefficient functions in electromagnetic and V+V charged-current deep-inelastic scattering, and the N = 2 and N = 4 results for the corresponding flavour-singlet quantities. Enough moments have been obtained for an LLL-based determination of the analytic N-dependence of the nf3 and nf2 parts, respectively, of the singlet and non-singlet splitting functions. The large-N limit of the latter provides the complete nf2 contributions to the four-loop cusp anomalous dimension. Our results also provide additional evidence of a non-vanishing contribution of quartic group invariants to the cusp anomalous dimension.

Item Type: Conference or Workshop Item (Unspecified)
Depositing User: Symplectic Admin
Date Deposited: 10 Oct 2017 14:27
Last Modified: 03 Mar 2021 10:13
Open Access URL: http://arxiv.org/pdf/1605.08408.pdf
URI: https://livrepository.liverpool.ac.uk/id/eprint/3009938