The Dijet Cross-section Measurement of Polarized Proton-Proton Collision at $\sqrt s =$ 500 GeV

The STAR Spin program aims to measure the gluon helicity distribution $\Delta g(x)$ in the proton, which remains highly unconstrained at small momentum fractions $x_B < 0.05$. Dijet reconstruction in polarized proton collisions at $\sqrt s = 500$ GeV will extend these constraints by sampling lower x gluons while also providing more precise information about the partonic kinematics. This contribution will present studies of various jet algorithms and works toward the first measurement of the dijet cross-section from $\sim$ 10 pb$^{-1}$ of data from $\sqrt s = 500$ GeV data taken in 2009.