Extended collinearly-improved Balitsky-Kovchegov evolution equation in target rapidity

An extended collinearly improved Balitsky-Kovchegov evolution equation in the target rapidity representation is derived by including the running coupling corrections during the expansion of the "real" S-matrix. We find that the running coupling brings important modifications to the evoluti...

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Bibliographic Details
Published in:Physical review. D 2021-07, Vol.104 (1), p.1, Article 016018
Main Authors: Xiang, Wenchang, Cai, Yanbing, Wang, Mengliang, Zhou, Daicui
Format: Article
Language:English
Subjects:
Coupling
Nonlinear evolution equations
Representations
S matrix theory
Scattering amplitude
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Summary:An extended collinearly improved Balitsky-Kovchegov evolution equation in the target rapidity representation is derived by including the running coupling corrections during the expansion of the "real" S-matrix. We find that the running coupling brings important modifications to the evolution equation, as one can see that there are extra contributions to the evolution kernel once the running coupling is included. To identify the significance of the modifications, we numerically solve the evolution equation with and without the running coupling contributions during the S-matrix expansion. The numerical results show that the scattering amplitude is largely suppressed by the running coupling corrections, which indicate that one needs to consider the running coupling contributions during the derivation of the nonlinear evolution equation in the target rapidity representation.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.104.016018