Symmetry violations in nuclear and neutron $β$ decay

The role of $β$ decay as a low-energy probe of physics beyond the Standard Model is reviewed. Traditional searches for deviations from the Standard Model structure of the weak interaction in $β$ decay are discussed in the light of constraints from the LHC and the neutrino mass. Limits on the violation of time-reversal symmetry in $β$ decay are compared to the strong constraints from electric dipole moments. Novel searches for Lorentz symmetry breaking in the weak interaction in $β$ decay are also included, where we discuss the unique sensitivity of $β$ decay to test Lorentz invariance. We end with a roadmap for future $β$-decay experiments.

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