The two-jet rate in e^+e^- at next-to-next-to-leading-logarithmic order

TL;DR

This paper provides the first NNLL resummation for the two-jet rate in e+e- annihilation, extending the ARES method to global jet algorithms and matching with NNLO for comparison with LEP data.

Contribution

It introduces a novel NNLL resummation technique for jet rates in e+e- collisions using the ARES method without requiring a factorization theorem.

Findings

Resummation results match well with LEP data.

Extends ARES method to new jet algorithms.

Provides predictions at NNLO accuracy.

Abstract

We present the first next-to-next-to-leading logarithmic resummation for the two-jet rate in $e^+e^-$ annihilation in the Durham and Cambridge algorithms. The results are obtained by extending the ARES method to observables involving any global, recursively infrared and collinear safe jet algorithm in e^+e^- collisions. As opposed to other methods, this approach does not require a factorization theorem for the observables. We present predictions matched to next-to-next-to-leading order, and a comparison to LEP data.