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Jet production in polarized $p+p$ collisions at $\sqrt{s} = 200$ GeV and$\sqrt{s} = 500$ GeV provides a powerful probe to study gluons inside theproton. The Solenoidal Tracker at RHIC (STAR) has the capability, with nearlyfull azimuthal ($2\pi$) coverage, to reconstruct jets at mid-rapidity ($|\eta|< 1$). The latest STAR inclusive jet longitudinal double-spin asymmetry$A_{LL}$ measured in 200 GeV $p+p$ collisions provides better constraints onthe polarized gluon distribution $\Delta g(x)$ for $0.05<x<0.2$ than previousmeasurements. A recent global QCD fit (DSSV 2014) which includes the 2009 RHICresults provides the first evidence of non-zero gluon contribution to theproton spin. A new inclusive jet cross section using the anti-$k_{T}$ algorithmprovides potential insights into the unpolarized gluon distribution function,and the new inclusive jet $A_{LL}$ measurement in 510 GeV $p+p$ collisionsshows consistent $x_{T}$ scaling with the 200 GeV result. Future measurementswith continuing high energy polarized proton-proton running at $\sqrt{s} = 500$GeV at RHIC and detector upgrades in the forward direction will explore thegluonic contribution to the proton spin at low $x$ region.

Jet measurements in polarized p+p collisions at STAR at RHIC