$W^{\pm}$ Boson Production Measurement at Mid-rapidity in the PHENIX Experiment

The measurement of $W^{\pm}$ production provides an important probe of the flavor-separated quark and antiquark helicity distributions in the proton. At mid-rapidity, $\mid \eta \mid \le 0.35$, using the PHENIX central arm detectors we observe $W^{\pm}$ boson decays through $e^{\pm}$ channels in polarized $p+p$ collisions at RHIC. In 2011, in 500 GeV $p+p$ collisions, PHENIX recorded data with an improved beam polarization and increased integrated luminosity in comparison with the previous 2009 data set: the beam polarization was 48$\%$ and the integrated luminosity was 16.7 pb$^{-1}$. After the silicon VTX detector was installed in 2011, which led to an increased background from conversion in additional material, a supplementary analysis technique was developed to extract the signal. In 2012, PHENIX collected approximately 30 pb$^{-1}$ of polarized $p+p$ collisions at $\sqrt{s}$ = 510 GeV with the beam polarization of 52$\%$; the silicon VTX detector was fully operational in 2012 and is ready to be used in the data analysis. The progress on extracting $W$-decay $e^{\pm}$ single spin asymmetries using the 2011 and 2012 data sets will be presented.