Determination of $\Delta\Gamma_s$ from Analysis of Untagged Decays $B^0_s\to J/\psi\phi$ by Using the Method of Angular Moments

Abstract

The performance of the method of angular moments on the $\Delta\Gamma_s$ determination from analysis of untagged decays $B^0_s(t),\bar{B}^0_s(t)\to J/\psi(\to l^+l^-)\phi(\to K^+K^-)$ is examined. The results of Monte Carlo studies with evaluation of measurement errors are presented. The method of angular moments gives stable results for the estimate of $\Delta\Gamma_s$ and is found to be an efficient and flexible tool for the quantitative investigation of the $B^0_s\to J/\psi\phi$ decay. The statistical error of the ratio $\Delta\Gamma_s/\Gamma_s$ for values of this ratio in the interval [0.03, 0.3] was found to be independent on this value, being 0.015 for $10^5$ events.