The Large-x Factorization of the Longitudinal Structure Function

2003/04/14 by Ratindranath Akhoury, R. Akhoury, Akhoury, R. +3 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0304131

26 pages, 6 figures

arxiv created 2003/04/14 · arxiv updated 2009/11/30

Abstract

A leading-twist factorization formula is derived for the longitudinal structure function in the x -->1 limit of deeply inelastic scattering. This is achieved by defining a new jet function which is gauge independent and probes the transverse momentum of the struck parton in the target. In moment space, terms of order (ln^k N)/N, which are the leading ones for F_L, are shown to be resummable through the cusp anomalous dimension γ_K and the anomalous dimension γ_J^′ of the new jet function. This anomalous dimension is computed to O(α_s). The suggested factorization for F_L reproduces the fixed order results known to O(α_s²). The general ideas for resumming the terms of order (ln^k N)/N in moment space may be extended to the other structure functions and to other inclusive processes near the elastic limit.

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