Higher-order predictions for splitting functions and coefficient functions from physical evolution kernels

Vogt, A, Moch, S, Soar, G and Vermaseren, JAM (2010) Higher-order predictions for splitting functions and coefficient functions from physical evolution kernels. .

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Abstract

We have studied the physical evolution kernels for nine non-singlet observables in deep-inelastic scattering (DIS), semi-inclusive e^+e^-annihilation and the Drell-Yan (DY) process, and for the flavour-singlet case of the photon- and heavy-top Higgs-exchange structure functions (F_2, F_phi) in DIS. All known contributions to these kernels show an only single-logarithmic large-x enhancement at all powers of 1-x. Conjecturing that this behaviour persists to (all) higher orders, we have predicted the highest three (DY: two) double logarithms of the higher-order non-singlet coefficient functions and of the four-loop singlet splitting functions. The coefficient-function predictions canbe written as exponentiations of 1/N-suppressed contributions in Mellin-N space which, however, are less predictive than the well-known exponentiation of the ln^k N terms.

Item Type:	Conference or Workshop Item (Unspecified)
Additional Information:	7 pages, LaTeX (PoS style). Presented by A.V. at RADCOR 2009, Ascona (Switzerland), October 2009. Too appear in the proceedings
Uncontrolled Keywords:	hep-ph, hep-ph
Depositing User:	Symplectic Admin
Date Deposited:	27 Oct 2016 11:55
Last Modified:	19 Jan 2023 07:27
Related URLs:	Author
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3004017