Universality of traveling waves with QCD running coupling
Guillaume Beuf, Robi Peschanski, Sebastian Sapeta
TL;DR
This paper investigates the universality of traveling wave solutions in QCD evolution equations, extending the theoretical understanding of geometric scaling beyond leading-logarithmic order by including running coupling effects.
Contribution
It extends the analysis of traveling wave solutions in QCD evolution equations to include running coupling effects beyond leading-logarithmic order.
Findings
Traveling wave solutions exhibit universality with running coupling.
Geometric scaling persists beyond leading-logarithmic order.
Theoretical predictions align with observed QCD phenomena.
Abstract
``Geometric scaling'', i.e. the dependence of DIS cross-sections on the ratio Q/Q_S, where Q_S(Y) is the rapidity-dependent \saturation scale, can be theoretically obtained from universal ``traveling wave'' solutions of the nonlinear Balitsky-Kovchegov (BK) QCD evolution equation at fixed coupling. We examine the similar mean-field predictions beyond leading-logarithmic order, including running QCD coupling.
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