Search for lepton-flavor-violating ALPs at a future muon collider and utilization of polarization-induced effects

Axion-Like Particles (ALPs) are pseudo Nambu-Goldstone bosons associated with spontaneously broken global $U(1)$ symmetries. Such particles can have lepton-flavor-violating (LFV) couplings to the SM charged leptons. LFV ALPs provide possibility address some of long-lasting problems. We investigate sensitivity a future muon collider suggested by Muon Accelerator Program (MAP) production in ALP mass range $m_a\leq1$ MeV. assumed be produced through decay $\tau\ra\ell a$ ($\ell=e,\mu$) one tau leptons muon-anti annihilation. Performing realistic detector simulation and deploying multivariate technique, we constrain $c_{\tau e}$ \mu}$ for both cases unpolarized polarized beams. Three different chiral structures considered coupling is operate at center-of-mass energies 126, 350 1500 GeV. present procedure search colliders which takes advantage polarization-induced effects. Polarized produce such effects when initial beams polarized. Utilizing properties decays, main background overwhelms case significantly suppressed. 95$\%$ CL expected limits on show that analysis improve current experimental roughly order magnitude.