Upgrade of a Right-Handed Current Search Using Highly-Polarized, Laser-Cooled \textsuperscript{37}K

The TRIUMF Neutral Atom Trap facility is able to provide $^{37}$K that is laser-cooled and highly polarized. This will be used to search for new physics via studies of the angular distributions of its decay products. The first planned experiment will measure the $\beta$ asymmetry parameter, $A_{\beta}$, using back-to-back detectors placed along the polarization axis. One key aspect of the upgraded system is the addition of a shake-off electron detector which, used in coincidence with the $\beta$ detectors, will minimize the background from untrapped depolarized atoms. The other major improvement is the conversion of our traditional magneto-optical trap (MOT) to an AC-MOT~[1] to allow us to switch between trapping and polarizing much more quickly. Our goal is to measure $A_{\beta}$ to $\la 1.0\%$ of its value and to estimate systematics as we work towards a $\approx0.1\%$ experiment. An overview of the experiment and our expected sensitivity to physics beyond the Standard Model based on GEANT4 simulations will be presented. \\[4pt] [1] M. Harvey and A. Murray PRL \textbf{101}, 173201 (2008).