Factorization and Resummation for Jet Broadening
Thomas Becher, Guido Bell, Matthias Neubert
TL;DR
This paper develops all-order theoretical expressions for jet broadening distributions in e+e- annihilation, addressing collinear anomalies and extending precision beyond next-to-leading order.
Contribution
It introduces the first all-order factorization formulas for jet broadening that are free of large logarithms and extend existing results to higher perturbative orders.
Findings
Reproduces known NLL results for jet broadening.
Provides all-order expressions addressing collinear anomalies.
Extends precision to higher perturbative orders.
Abstract
Jet broadening is an event-shape variable probing the transverse momenta of particles inside jets. It has been measured precisely in e+e- annihilations and is used to extract the strong coupling constant. The factorization of the associated cross section at small values of the broadening is afflicted by a collinear anomaly. Based on an analysis of this anomaly, we present the first all-order expressions for jet-broadening distributions, which are free of large perturbative logarithms in the two-jet limit. Our formulae reproduce known results at next-to-leading logarithmic order but also extend to higher orders.
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