Measurement of Longitudinal Single-Spin Asymmetry for W${}^{\pm }$ Production in Polarized Proton+Proton Collisions at STAR

The sea quark contribution to the nucleon spin is an important piece for a complete understanding of the nucleon spin structure. The production of W bosons in longitudinally polarized $p+p$ collisions at RHIC provides an unique probe for the sea quark polarization, through the parity-violating single-spin asymmetry, $A_L$. At the STAR experiment, W bosons through the leptonic decay channel $W\to e\nu$ can be effectively determined with the Electromagnetic Calorimeters and Time Projection Chamber at mid-rapidity. The previous STAR measurements of $A_L$ for W boson production from datasets taken in 2011 and 2012, have provided significant constraints on the helicity distribution functions of $\bar{u}$ and $\bar{d}$ quarks. In 2013 the STAR experiment collected $p+p$ data with an integrated luminosity of about 300 pb${}^{-1}$ at $\sqrt{s}$ = 510 GeV with an average beam polarization of about $56\mathrm{\%}$, which is more than three times larger than the total integrated luminosity of previous years. The preliminary results of W-boson $A_L$ from 2013 data sample will be presented.