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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Text
1001.3554v1.pdf - Author Accepted Manuscript Download (99kB) |
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) |
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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: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3004017 |