Work

Approximate solution to the NLL BK equation in the saturation region

Year: 2017

Type: article

Abstract: We analytically solve the next-to-leading logarithmic Balitsky-Kovchegov equation approximated in the saturation regime, which includes corrections from quark and gluon loops, and large double transverse logarithms. The analytic result for the $S$-matrix in the saturation regime shows that the $\mathrm{exp}(\ensuremath{-}\mathcal{O}(Y))$ rapidity dependence of the running-coupling solution is replaced by $\mathrm{exp}(\ensuremath{-}\mathcal{O}({Y}^{3/2}))$ in the next-to-leading logarithmic solution. The collinearly improved Balitsky-Kovchegov equations are also analytically solved in the saturation regime. This shows that the double collinear logarithms do not contribute to the $S$-matrix, and the solution is the same as the one obtained from the leading-order Balitsky-Kovchegov equation. The numerical solutions to the leading-order and next-to-leading logarithmic Balitsky-Kovchegov equations are performed in order to test the analytic results derived in the saturation regime.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.95.116009

Authors: Wenchang Xiang, Shaohong Cai, Daicui Zhou

Institutions: Guizhou Normal University, Guizhou University of Finance and Economics, Guizhou University, Central China Normal University

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Guizhou Science and Technology Department, National Key Research and Development Program of China