Effective Lepton Flavor Violating couplings at Muon Collider

TL;DR

This paper assesses the potential of future muon colliders to detect lepton flavor violation by estimating sensitivities to relevant effective couplings at high energies and luminosities.

Contribution

It provides the first detailed sensitivity estimates for lepton flavor-violating operators at proposed muon colliders with different energies and beam polarizations.

Findings

Sensitivity to Wilson coefficients improves with higher energy and luminosity.

Polarized beams enhance measurement precision.

Potential to probe new physics beyond current limits.

Abstract

We estimate the sensitivity of Wilson coefficients of the lepton flavor-violating dimension-six operators at the proposed $\mu^+\mu^-$ collider. We compute the signal significance at $\sqrt{s}$ = 3 and 10 TeV, respectively, with an integrated luminosity of 1 and 10 ab$^{-1}$ corresponding to unpolarized and polarized initial muon beams. Using the optimal observable method for the kinematic distributions, we study the measurement errors of the effective couplings at the 1-sigma level.