Measurement of the longitudinal spin asymmetries for weak boson production in polarized proton-proton collisions at $\sqrt{s}=510$ GeV at RHIC

The STAR experiment at RHIC has provided significant contributions to our understanding of the spin structure and dynamics of the proton. The production of $W^\pm$ bosons in longitudinally polarized p-p collisions at $\sqrt{s}=510$ GeV provides a direct probe of the spin-flavor structure of the proton through the measurement of the parity-violating single-spin asymmetry, $A_{L}$. $W^{-(+)}$ bosons are produced in $\bar{u}+d\,(\bar{d}+u)$ collisions and can be detected through their leptonic decays, $e^{-}+\bar{\nu}_{e}\;(e^{+}+\nu_{e})$, where only the respective charged lepton is measured. The STAR experiment is well equipped to measure $W^\pm \rightarrow e^\pm + \nu$. The main STAR detector sub-systems used in this measurement are the Time Projection Chamber and Electromagnetic Calorimeters. The published 2011 / 2012 STAR $A_L$ results based on $86\,$pb$^{-1}$ of data provided significant impact in constraining the helicity distributions of $\bar{u}$ and $\bar{d}$ quarks. In 2013, STAR collected an additional, larger data sample of $250\,$pb$^{-1}$. Final published results from the 2013 dataset for the measurement of $W^{\pm}$ $A_{L}$ and $A_{LL}$, and $Z$ $A_{L}$ will be presented including a discussion of the impact on the sea-quark helicity distribution functions.