Snowmass 2021 White Paper: Resummation for future colliders

TL;DR

This white paper reviews recent advances in resummation techniques crucial for high-precision predictions at current and future colliders, emphasizing developments beyond leading power and in various regimes.

Contribution

It summarizes recent progress in modern resummation methods and outlines future research directions in high-energy collider phenomenology.

Findings

Advances in resummation beyond leading power

Joint resummation of different logarithms for jets

Small-x resummation in high-energy regime

Abstract

Resummation techniques are essential for high-precision phenomenology at current and future high-energy collider experiments. Perturbative computations of cross sections often suffer from large logarithmic corrections, which must be resummed to all orders to restore the reliability of predictions from first principles. The precise understanding of the all-order structure of field theories allows for fundamental tests of the Standard Model and new physics searches. In this white paper, we review recent progress in modern resummation techniques and outline future directions. In particular, we focus on the resummation beyond leading power, the joint resummation of different classes of logarithms relevant for jets and their substructure, small-$x$ resummation in the high-energy regime and the QCD fragmentation process in the small-$z_h$ limit.