Running coupling corrections to inclusive gluon production
Abstract
We calculate running coupling corrections for the lowest-order gluon production cross section in high energy hadronic and nuclear scattering using the BLM scale-setting prescription. At leading order there are three powers of fixed coupling; in our final answer, these three couplings are replaced by seven factors of running coupling: five in the numerator and two in the denominator, forming a `septumvirate' of running couplings, analogous to the `triumvirate' of running couplings found earlier for the small-x BFKL/BK/JIMWLK evolution equations. It is interesting to note that the two running couplings in the denominator of the `septumvirate' run with complex-valued momentum scales, which are complex conjugates of each other, such that the production cross section is indeed real. We use our lowest-order result to conjecture how running coupling corrections may enter the full fixed-coupling k_T-factorization formula for gluon production which includes non-linear small-x evolution.
Keywords
Cite
@article{arxiv.1106.5456,
title = {Running coupling corrections to inclusive gluon production},
author = {W. A. Horowitz and Yuri V. Kovchegov},
journal= {arXiv preprint arXiv:1106.5456},
year = {2015}
}
Comments
4 pages, 1 figure, proceedings of Quark Matter 2011, Annecy, France