A1 Journal article (refereed)
Next-to-leading order Balitsky-Kovchegov equation beyond large Nc (2020)

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

JYU authors or editors

Publication details

All authors or editors: Lappi, Tuomas; Mäntysaari, Heikki; Ramnath, Andrecia

Journal or series: Physical Review D

ISSN: 2470-0010

eISSN: 2470-0029

Publication year: 2020

Volume: 102

Issue number: 7

Article number: 074027

Publisher: American Physical Society (APS)

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1103/physrevd.102.074027

Publication open access: Openly available

Publication channel open access: Partially open access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/72486

Web address of parallel published publication (pre-print): https://arxiv.org/abs/2007.00751

Abstract

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.

Keywords: particle physics

Free keywords: particle interactions; quantum chromodynamics; strong interaction

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Ministry reporting: Yes

Reporting Year: 2020

JUFO rating: 2