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Using TRIUMF's neutral atom trap, TRINAT, for nuclear $\beta$ decay, we havemeasured the $\beta$ asymmetry with respect to the initial nuclear spin in$^{37}\mathrm{K}$ to be$A_\beta=-0.5707(13)_\mathrm{syst}(13)_\mathrm{stat}(5)_\mathrm{pol}$, a 0.3%measurement. This is the best relative accuracy of any $\beta$-asymmetrymeasurement in a nucleus or the neutron, and is in agreement with the standardmodel prediction $-0.5706(7)$. We compare constraints on physics beyond thestandard model with other $\beta$-decay measurements, and improve the value of$V_\mathrm{ud}$ measured in this mirror nucleus by a factor of 4.

Precision measurement of the $\beta$-asymmetry in spin-polarized $^{37}\mathrm{K}$ decay