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. .

Text 1605.08408v1.pdf - Author Accepted Manuscript Download (180kB)

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:	19 Jan 2023 07:27
Related URLs:	Author
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3004014