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

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 self-energy 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 nu+nu(bar) 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 nf^3 and nf^2 parts, respectively, of the singlet and non-singlet splitting functions. The large-N limit of the latter provides the complete nf^2 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)
Additional Information: 11 pages, LaTeX (PoS style), 4 eps-figures. To appear in the proceedings of `Loops & Legs 2016', Leipzig (Germany), April 2016
Uncontrolled Keywords: hep-ph, hep-ph
Depositing User: Symplectic Admin
Date Deposited: 27 Oct 2016 11:45
Last Modified: 27 Apr 2022 22:10
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3004014