17–24 Jul 2024
Prague
Europe/Prague timezone

Soft-gluon effective coupling: perturbative results and the large-nF limit to all orders

20 Jul 2024, 15:45
15m
North Hall

North Hall

Parallel session talk 06. Strong Interactions and Hadron Physics Strong interactions and Hadron Physics

Speaker

Daniel De Florian (International Center for Advanced Studies (AR))

Description

We consider extensions of the soft-gluon effective coupling that generalize the Catani-Marchesini-Webber (CMW) coupling in the context of soft-gluon resummation beyond the next-to-leading logarithmic accuracy. Starting from the probability density of correlated soft emission in d dimensions we introduce a class of soft couplings relevant for resummed QCD calculations of hard-scattering observables. We show that at the conformal point, where the d-dimensional QCD beta-function vanishes, all these effective couplings are equal to the cusp anomalous dimension. We present explicit results in d dimensions for the soft-emission probability density and the soft couplings at the second-order in the QCD coupling. Finally, we study the structure of the soft coupling in the large-nF limit and we present explicit expressions to all orders in perturbation theory. We also check that, at the conformal point, our large-nF results agree with the known result of the cusp anomalous dimension.

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Author

Daniel De Florian (International Center for Advanced Studies (AR))

Presentation materials