Probing $L_\mu-L_\tau$ models with CE$\nu$NS: A new look at the combined COHERENT CsI and Ar data

Understand

The minimal gauged $U(1)_{L_\mu-L_\tau}$ model has long been known to be able to explain the tension between the theoretical and experimental values of the muon magnetic moment.

• It has been explored and tested extensively, pushing the viable parameter space into a very tight corner.
• Further, embedding the $U(1)_{L_\mu-L_\tau}$ model in a supersymmetric (SUSY) framework has been shown to relax some of these constraints and has recently been shown to explain the electron anomalous magnetic moment as well.
• In this model, the logarithm of the mass ratio of third to second generation (s)leptons control the non-negligible kinetic mixing and may crucially alter many of the constraints.