Completing the first saturation correction to single inclusive gluon production in high energy pA collisions

About

The leading order result of single inclusive gluon production in high energy pA collisions has been calculated by various approaches for more than two decades . The first saturation correction to the leading order result, terms that are enhanced by $\alpha_s^2 A^{1/3}$ with $\alpha_s$ the strong coupling constant and $A$ the atomic number of nucleus, was only analytically attempted recently through a diagrammatic approach despite many relevant numerical studies. In this talk, I will present our efforts in completing this calculation analytically. Our approach is to solve the classical Yang-Mills equations in the dilute-dense regime and use the LSZ reduction formula to calculate gluon production from classical gluon fields. Exact next-to-leading order solutions of the Yang-Mills equations in the dilute-dense regime will be presented. The systematic approach in completing the first saturation correction to single inclusive gluon production will be explained and final results will be presented..

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