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We present measurements from the PHENIX experiment of large parity-violatingsingle spin asymmetries of high transverse momentum electrons and positronsfrom $W^\pm/Z$ decays, produced in longitudinally polarized $p$$+$$p$collisions at center of mass energies of $\sqrt{s}$=500 and 510~GeV. Theseasymmetries allow direct access to the anti-quark polarized parton distributionfunctions due to the parity-violating nature of the $W$-boson coupling toquarks and anti-quarks. The results presented are based on data collected in2011, 2012, and 2013 with an integrated luminosity of 240 pb$^{-1}$, whichexceeds previous PHENIX published results by a factor of more than 27. Thesehigh $Q^2$ data provide an important addition to our understanding ofanti-quark parton helicity distribution functions.

Measurement of parity-violating spin asymmetries in W$^{\pm}$ production at midrapidity in longitudinally polarized $p$$+$$p$ collisions