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). The generalization of the results presented here to more complicated observables as well as to higher logarithmic orders will be considered in a future publication.
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Bauer, C.W., Monni, P.F. A numerical formulation of resummation in effective field theory. J. High Energ. Phys. 2019, 185 (2019). https://doi.org/10.1007/JHEP02(2019)185
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DOI: https://doi.org/10.1007/JHEP02(2019)185