Next-to-leading order Balitsky-Kovchegov equation beyond large Nc
Lappi, T., Mäntysaari, H., & Ramnath, A. (2020). Next-to-leading order Balitsky-Kovchegov equation beyond large Nc. Physical Review D, 102(7), Article 074027. https://doi.org/10.1103/physrevd.102.074027
Published inPhysical Review D
© Authors, 2020
We calculate finite-Nc corrections to the next-to-leading order (NLO) Balitsky-Kovchegov (BK) equation. We find analytical expressions for the necessary correlators of six Wilson lines in terms of the two-point function using the Gaussian approximation. In a suitable basis, the problem reduces from the diagonalization of a six-by-six matrix to the diagonalization of a three-by-three matrix, which can easily be done analytically. We study numerically the effects of these finite-Nc corrections on the NLO BK equation. In general, we find that the finite-Nc corrections are smaller than the expected 1/N2c∼10%. The corrections may be large for individual correlators, but have less of an influence on the shape of the amplitude as a function of the dipole size. They have an even smaller effect on the evolution speed as a function of rapidity.
PublisherAmerican Physical Society (APS)
Publication in research information system
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Related funder(s)European Commission; Academy of Finland
Funding program(s)Postdoctoral Researcher, AoF; Academy Project, AoF
The content of the publication reflects only the author’s view. The funder is not responsible for any use that may be made of the information it contains.
Additional information about fundingThis work was supported by the Academy of Finland, projects No. 314764 (H. M.) and No. 321840 (T. L.), and by the National Research Foundation of South Africa (A. R.). A. R. and T. L. are supported by the European Research Council (ERC) under the European Unions Horizon 2020 research and innovation programme (Grant Agreement No. ERC-2015-CoG-681707), and by the EU Horizon 2020 research and innovation programme, STRONG-2020 project (Grant Agreement No. 824093). ...
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