An Estimate for the Systematic Uncertainty Associated with the Polarization of the Upsilon Meson at CMS

An estimate for the systematic uncertainty associated with the polarization of the Upsilon meson is presented for the LHC heavy-ion collision energy of $\sqrt{s_{NN}}$ = 2.76 TeV. Kinematic cuts are applied to simulated collision data in order to model the acceptance of the CMS detector. The systematic uncertainty is then plotted as a function of $\Upsilon$ $p_T$ for both high- and low-acceptance polarization cases. We find that Upsilon acceptance varies as a function of p$_T$, with, when no kinematic cuts are applied, as high as a twelve-percent difference between levels of polarization (at low $p_T$) and, when kinematic cuts are applied, as high as a four-percent difference (at mid p$_T$).