A numerical formulation of resummation in effective field theory

Understand

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).