Leading logarithmic large-x resummation of off-diagonal splitting functions and coefficient functions
Abstract
We analyze the iterative structure of unfactorized partonic structure functions in the large-x limit, and derive all-order expressions for the leading-logarithmic off-diagonal splitting functions P_gq and P_qg and the corresponding coefficient functions C_phi,q and C_2,g in Higgs- and gauge-boson exchange deep-inelastic scattering. The splitting functions are given in terms of a new function not encountered in perturbative QCD so far, and vanish maximally in the supersymmetric limit C_A - C_F to 0. The coefficient functions do not vanish in this limit, and are given by simple expressions in terms of the above new function and the well-known leading-logarithmic threshold exponential. Our results also apply to the evolution of fragmentation functions and semi-inclusive e^+ e^- annihilation.
Keywords
Cite
@article{arxiv.1005.1606,
title = {Leading logarithmic large-x resummation of off-diagonal splitting functions and coefficient functions},
author = {A. Vogt},
journal= {arXiv preprint arXiv:1005.1606},
year = {2014}
}
Comments
9 pages, LaTeX, 1 eps-figure