Precision $\mu^+\mu^+$ and $\mu^+e^-$ elastic scatterings

TL;DR

This paper estimates the potential of future muon colliders to precisely measure elastic scattering cross sections, enabling probing of new physics scales up to 100 TeV and improving electroweak tests.

Contribution

It provides the first detailed estimates of measurement precisions at proposed muon colliders for elastic scattering, highlighting their potential to explore high-scale new physics.

Findings

Muon colliders can probe new physics up to 100 TeV scale.

Elastic scattering measurements can enhance electroweak precision tests.

Future muon colliders offer significant sensitivity to beyond Standard Model physics.

Abstract

Expected precisions of measurements of the elastic scattering cross sections are estimated for $\mu^+ \mu^+$ and $\mu^+ e^-$ colliders, which are recently proposed as future realistic possibilities ($\mu$TRISTAN). Comparing with contributions from possible new physics represented by higher dimensional operators, we find that the measurements at a TeV energy $\mu^+\mu^+$ collider can probe the scale of new physics up to $O(100)$~TeV. A $\mu^+ e^-$ collider for the Higgs boson factory can also improve the electroweak precision test.