Running coupling effects for the singlet structure function g_1 at small x

Details Running coupling effects for the singlet structure function g_1 at small x Running coupling effects for the singlet structure function g_1 at small x

2003-07-09

arxiv.org/abs/hep-ph/0307128v2

Phys.Lett.B579:321-330,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

The sign of g_1 at small x is discussed in more details, 3 refs are added

Scientific paper

10.1016/j.physletb.2003.11.016

The running of the QCD coupling is incorporated into the infrared evolution equations for the flavour structure function g_1. The explicit expressions for g_1 including the total resummation of the double-logarithmic contributions and accounting for the running coupling are obtained. We predict that asymptotically g_1 ~ x^{- \Delta_S}, with the intercept \Delta_S = 0.86, which is more than twice larger than the non-singlet intercept. The impact of the initial quark (\delta q) and gluon (\delta g) densities on the sign of g_1 at x << 1 is discussed and explicit expressions relating \delta q and \delta g are obtained.

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