Gauged <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>L</mml:mi><mml:mi>μ</mml:mi></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi>τ</mml:mi></mml:msub></mml:math> at a muon collider
Gauged <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>L</mml:mi><mml:mi>μ</mml:mi></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi>τ</mml:mi></mml:msub></mml:math> at a muon collider
We investigate the sensitivity of the projected TeV muon collider to the gauged ${L}_{\ensuremath{\mu}}\ensuremath{-}{L}_{\ensuremath{\tau}}$ model. Two processes are considered: ${Z}^{\ensuremath{'}}$-mediated two-body scatterings ${\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ with $\ensuremath{\ell}=\ensuremath{\mu}$ or $\ensuremath{\tau}$ and scattering with initial state photon emission, ${\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}\ensuremath{\rightarrow}\ensuremath{\gamma}{Z}^{\ensuremath{'}},{Z}^{\ensuremath{'}}\ensuremath{\rightarrow}\ensuremath{\ell}\overline{\ensuremath{\ell}}$, where $\ensuremath{\ell}$ can be $\ensuremath{\mu}$, $\ensuremath{\tau}$, or ${\ensuremath{\nu}}_{\ensuremath{\mu}/\ensuremath{\tau}}$. We quantitatively study the sensitivities of these …