Neutrino Mass Constraints onβDecay

Using the general connection between the upper limit on the neutrino mass and the upper limits on certain types of non-standard-model interactions that can generate loop corrections to the neutrino mass, we derive constraints on some non-standard-model $d\to u{e}^{-}\overline{\nu }$ interactions. When cast into limits on $n\to p{e}^{-}\overline{\nu }$ coupling constants, our results yield constraints on scalar and tensor weak interactions improved by more than an order of magnitude over the current experimental limits. When combined with the existing limits, our results yield $|C_S/C_V|\lesssim 5\times {10}^{-3}$, $|C_S^{\prime }/C_V|\lesssim 5\times {10}^{-3}$, $|C_T/C_A|\lesssim 1.2\times {10}^{-2}$, and $|C_T^{\prime }/C_A|\lesssim 1.2\times {10}^{-2}$.