The Large-x Factorization of the Longitudinal Structure Function

Details The Large-x Factorization of the Longitudinal Structure Function The Large-x Factorization of the Longitudinal Structure Function

2003-04-14

arxiv.org/abs/hep-ph/0304131v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, 6 figures

Scientific paper

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 \gamma_K and the anomalous dimension \gamma_{J^\prime} of the new jet function. This anomalous dimension is computed to O(\alpha_s). The suggested factorization for F_L reproduces the fixed order results known to O(\alpha_s^2). 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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