YFS Resummation for Future Lepton-Lepton Colliders in SHERPA

TL;DR

This paper implements YFS resummation for soft photon emissions in key processes at future lepton colliders, validating results and extending to Higgs production with high-order corrections.

Contribution

It introduces a YFS resummation implementation for lepton collider processes, including the first results for Higgs-Strahlung with fixed-order improvements up to  order.

Findings

Validated YFS resummation for $e^-e^+ o far{f}$ and $W^-W^+$ processes.

Extended YFS resummation to $e^-e^+ o ZH$ with fixed-order corrections up to  order.

Demonstrated improved precision in theoretical predictions for future collider processes.

Abstract

We present an implementation of the Yennie--\-Frautschi--\-Suura (YFS) scheme for the all-orders resummation of logarithms from the emission of soft real and virtual photons in processes that are critical for future lepton colliders. They include, in particular, $e^-e^+\to f\bar{f}$ and $e^-e^+\to W^-W^+$, where we validate the results of our implementation, improved with fixed-order corrections, with those obtained from the most precise calculations. We also show, for the first time, results for the Higgs-Strahlungs process, $e^-e^+\to ZH$, in YFS resummation including fixed-order improvements up to order $\alpha^3L^3$.