Description of the spin structure function g₁ at arbitrary x and arbitrary Q²

2007/11/29 by B. I. Ermolaev, M. Greco, Ermolaev, B. I. +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.0711.4764

Invited talk at XII Workshop on high energy spin physics DSPIN-07, Sept,3-7, 2007, Dubna, Russia. 6 pages, no figures

arxiv created 2007/11/29 · arxiv updated 2009/12/01

Abstract

The explicit expressions describing the structure function g₁ at arbitrary x and Q² are obtained. In the first place, they combine the well-known DGLAP expressions for g₁ with the total resummation of leading logarithms of x, which makes possible to cover the kinematic region of arbitrary x and large Q². In order to cover the small-Q² region the shift Q² -> Q² + mu² in the large-Q² expressions for g₁ is suggested and values of mu are estimated. The expressions obtained do not require singular factors x^-a in the fits for initial parton densities.

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