Running coupling corrections to inclusive gluon production

被引：1

作者：

Horowitz, W. A. ^{[1
,2
]}

Kovchegov, Y. V. ^{[1
]}

机构：

[1] Ohio State Univ, Dept Phys, Columbus, OH 43210 USA

[2] Univ Cape Town, Dept Phys, ZA-7701 Rondebosch, South Africa

来源：

JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS | 2011年 / 38卷 / 12期

关键词：

D O I：

10.1088/0954-3899/38/12/124064

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

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 nonlinear small-x evolution.

引用

页数：4

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