$A_β[E_β]$ in $^{37}$K decay: new physics with opposite $β$ helicity

By extending our analysis and simulations of our $^{37}$K $β$-decay data set to allow the $β$ asymmetry with respect to nuclear spin to vary with $β$ energy $E_β$, we have gained sensitivity to new physics that depends on a helicity factor for the $β$, $m_β/E_β$. In particular, we constrain Lorentz scalar and tensor quark-lepton interaction strengths at a sensitivity complementary to the similar Fierz interference term in neutron $β$ decay. Our result for that new physics is a Fierz interference term $b$ = 0.033 $\pm$ 0.084 (stat) $\pm$ 0.039 (syst), consistent with the standard model electroweak interaction value $b=0$. We consider presently achieved complementarity to $β$-decay and particle physics experiments, along with projectable technical improvements to our method.

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