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arXiv · 2006.06738

Eikonal amplitudes and non-global logarithms from the BMS equation

Hana Benslama·Yazid Delenda·Kamel Khelifa-Kerfa·Abdelaziz Mohamed Ibrahim
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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.

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Hana Benslama, Yazid Delenda, Kamel Khelifa-Kerfa, Abdelaziz Mohamed Ibrahim. 2020-06-11. Eikonal amplitudes and non-global logarithms from the BMS equation. https://doi.org/10.1134/s1547477121010039

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