Transverse Single Spin Asymmetry of $J/\psi$ Production in Polarized $p+p$ Collisions at $\sqrt{s} = 200$ GeV

Transverse single spin asymmetries (SSAs) quantify the asymmetry of particle production relative to the transverse spin axis of a polarized hadron. SSAs have come to be recognized as a means of accessing QCD dynamics, both within initial-state hadrons and in the process of hadronization from partons. At $\sqrt{s} = 200$ GeV, heavy flavor single-spin asymmetries in proton-proton collisions provide access to gluon dynamics within the nucleon. Previous measurements of $J/\psi$ SSAs have been performed at RHIC based on PHENIX 2006, 2008 and 2012 datasets at both central and forward rapidity. In 2015, PHENIX collected an integrated luminosity of transverse polarized $p+p$ collision data at $\sqrt{s} = 200$ GeV, about 2 times as large as the datasets in 2006, 2008, and 2012 combined. The latest status of the $J/\psi$ SSA measurement for $200$ GeV $p+p$ collisions based on the PHENIX 2015 data will be presented.