Measurement of the CP-violating phase beta(s)J/psi phi in B-s(0) -> J/psi phi decays with the CDF II detector

We present a measurement of the CP-violating parameter beta(J/psi phi)(s) using approximately 6500 B-s(0) -> J/psi phi decays reconstructed with the CDF II detector in a sample of p (p) over bar collisions at root s = 1.96 TeV corresponding to 5.2 fb(-1) integrated luminosity produced by the Tevatron collider at Fermilab. We find the CP-violating phase to be within the range beta(J/psi phi)(s) is an element of [0.02, 0.52] boolean OR [1.08, 1.55] at 68% confidence level where the coverage property of the quoted interval is guaranteed using a frequentist statistical analysis. This result is in agreement with the standard model expectation at the level of about one Gaussian standard deviation. We consider the inclusion of a potential S-wave contribution to the B-s(0) -> J/psi K+K- final state which is found to be negligible over the mass interval 1.009 < m(K+K-) < 1.028 GeV/c(2). Assuming the standard model prediction for the CP-violating phase beta(J/psi phi)(s), we find the B-s(0) decay width difference to be Delta Gamma(s) = 0.075 +/- 0.035(stat) +/- 0.006(syst) ps(-1). We also present the most precise measurements of the B-s(0) mean lifetime tau(B-s(0)) = 1.529 +/- 0.025(stat) +/- 0.012(syst) ps, the polarization fractions vertical bar A(0)(0)vertical bar(2) = 0.524 +/- 0.013(stat) +/- 0.015(syst) and vertical bar A(parallel to)(0)vertical bar(2) = 0.231 +/- 0.014(stat) +/- 0.015(syst), as well as the strong phase delta(perpendicular to) = 2.95 +/- 0.64(stat) +/- 0.07(syst) rad. In addition, we report an alternative Bayesian analysis that gives results consistent with the frequentist approach.