19–22 Apr 2022
University of Bern
Europe/Zurich timezone

Two-loop anomalous dimension for the resummation of non-global observables

20 Apr 2022, 10:00
20m
Room 220, Hauptgebäude (University of Bern)

Room 220, Hauptgebäude

University of Bern

Speaker

Xu Xiaofeng

Description

The soft radiation emitted in jet cross sections can resolve the directions and colors of individual hard partons, leading to a complicated pattern of logarithmically enhanced terms in the perturbative series. Starting from a factorization theorem and solving the renormalization group equations for its ingredients, these large logarithms can be resummed. We extract the two-loop anomalous dimension governing the resummation of subleading logarithms in jet cross sections and other non-global observables. This anomalous dimension can be obtained by considering soft limits of hard amplitudes, but the presence of collinear singularities in intermediate expressions makes its extraction delicate. As a consistency check, we use our results to predict the known subleading non-global logarithms in the two-jet cross section.

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