Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-01-20
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages, LaTeX (PoS style). Presented by A.V. at RADCOR 2009, Ascona (Switzerland), October 2009. Too appear in the proceeding
Scientific paper
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.
Moch Sven
Soar G.
Vermaseren J. A. M.
Vogt Adam
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