A numerical formulation of resummation in effective field theory
Abstract
In this article we show how the resummation of infrared and collinear logarithms within Soft-Collinear Effective Theory (SCET) can be formulated in a way that makes it suitable for a Monte-Carlo implementation. This is done by applying the techniques developed for automated resummation using the branching formalism, which have resulted in the general resummation approach CAESAR/ARES. This work builds a connection between the two resummation approaches, and paves the way to automated resummation in SCET. As a case study we consider the resummation of the thrust distribution in electron-positron collisions at next-to-leading logarithm (NLL). However, the results presented here are easily generalizable to more complicated observables and processes as well as to higher orders in the logarithmic accuracy.
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Cite
@article{arxiv.1803.07079,
title = {A numerical formulation of resummation in effective field theory},
author = {Christian W. Bauer and Pier Francesco Monni},
journal= {arXiv preprint arXiv:1803.07079},
year = {2019}
}
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47 pages