Eikonal amplitudes and non-global logarithms from the BMS equation
Abstract
The Banfi-Marchesini-Smye (BMS) equation accounts for non-global logarithms to all orders in perturbation theory in the large-Nc approximation. We show that the squared amplitudes for the emission of soft energy-ordered gluons are correctly embedded in this equation, and explicitly verify that they coincide with those derived in our previous work in the large-Nc limit up to sixth order in the strong coupling. We perform analytical calculations for the non-global logarithms up to fourth order for the specific hemisphere mass distribution in e+ e- collisions, thus confirming our previous semi-numerical results. We show that the solution to the BMS equation may be cast into a product of an infinite number of exponentials each of which resums a class of Feynman diagrams that manifest a symmetry pattern, and explicitly carry out the computation of the first of these exponentials.
Keywords
Cite
@article{arxiv.2006.06738,
title = {Eikonal amplitudes and non-global logarithms from the BMS equation},
author = {Hana Benslama and Yazid Delenda and Kamel Khelifa-Kerfa and Abdelaziz Mohamed Ibrahim},
journal= {arXiv preprint arXiv:2006.06738},
year = {2021}
}
Comments
25 pages, 2 figures