# A formalism for the resummation of non-factorizable observables in SCET

## TL;DR

This paper introduces a general SCET-based method for resumming a wide class of final-state observables in high-energy collisions, enabling automated and observable-independent calculations at NNLL order.

## Contribution

It presents a novel, observable-independent resummation formalism in SCET that simplifies and automates calculations without the need for specific factorization theorems.

## Key findings

- Formulates a general resummation method suitable for numerical implementation.
- Achieves NNLL accuracy for $e^+e^-$ observables within the new framework.
- Lays groundwork for extending resummation to higher orders and other observables.

## Abstract

In the framework of soft-collinear effective theory (SCET), we show how to formulate the resummation for a broad family of final-state, global observables in high-energy collisions in a general way that is suitable for a numerical calculation. Contrary to the standard SCET approach, this results in a method that does not require an observable-specific factorization theorem. We present a complete formulation at next-to-next-to-leading logarithmic order for $e^+e^-$ observables, and show how to systematically extend the framework to higher orders. This work paves the way to automated resummation in SCET for several physical observables within a single framework.