Running coupling effects for the singlet structure function g_1 at small x
高能物理 - 唯象学
2008-11-26 v2
摘要
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.
引用
@article{arxiv.hep-ph/0307128,
title = {Running coupling effects for the singlet structure function g_1 at small x},
author = {B. I. Ermolaev and M. Greco and S. I. Troyan},
journal= {arXiv preprint arXiv:hep-ph/0307128},
year = {2008}
}
备注
The sign of g_1 at small x is discussed in more details, 3 refs are added