Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-09-02
Nucl.Phys.A849:72-97,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
32 pages, 7 figures. v2: minor corrections included
Scientific paper
10.1016/j.nuclphysa.2010.10.014
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. In the final answer for the cross section the three powers of fixed coupling 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 kT-factorization formula for gluon production which includes non-linear small-x evolution.
Horowitz William A.
Kovchegov Yuri V.
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