We report on the final measurement of the CP-violating $B_s^0$ mixing phase $\beta_s^{J/[psi][phi]}$ in √s = 1.96 TeV proton-antiproton collisions collected with the Collider Detector at the Fermilab Tevatron collider. Using a sample corresponding to 9.6 fb-1 of integrated luminosity, we fit the decay-time evolution of $B_s^0$ → J/[psi] (→ [mu]+ [mu]-) [phi] (→ K+ K−) decays in which the b-quark content at production and the CP parity of the final state are identified. The interference of decays with and without mixing renders the $B_s^0$ mixing phase observable. The phase is determined to be -0.06

This thesis reports on the final measurement of the flavor-mixing phase in decays of strange-bottom mesons (B_s) into J/psi and phi mesons performed in high-energy proton-antiproton collisions recorded by the Collider Experiment at Fermilab. Interference occurs between direct decays and decays following virtual particle-antiparticle transitions (B_s-antiB_s). The phase difference between transition amplitudes (“mixing phase”) is observable and extremely sensitive to contributions from non-standard-model particles or interactions that may be very hard to detect otherwise – a fact that makes the precise measurement of the B_s mixing phase one of the most important goals of particle physics. The results presented include a precise determination of the mixing phase and a suite of other important supplementary results. All measurements are among the most precise available from a single experiment and provide significantly improved constraints on the phenomenology of new particles and interactions.

The CP violating phase [beta] j/[Psi][Phi]s is measured in decays of B0s → J/[Psi][Phi]. This measurement uses 5.2 fb-1 of data collected in √s = 1.96 TeV p$\bar{p}$ collisions at the Fermilab Tevatron with the CDF Run-II detector. CP violation in the Bs0-$\bar{B}$s0 system is predicted to be very small in the Standard Model. However, several theories beyond the Standard Model allow enhancements to this quantity by heavier, New Physics particles entering second order weak mixing box diagrams. Previous measurements have hinted at a deviation from the Standard Model expectation value for [beta]sJ/[Psi][Phi] with a significance of approximately 2[sigma]. The measurement described in this thesis uses the highest statistics sample available to date in the Bs0 → J/[Psi][Phi] decay channel, where J/[Psi] → [mu]+[mu]- and [Phi] → K+K-. Furthermore, it contains several improvements over previous analyses, such as enhanced signal selection, fully calibrated particle ID and flavour tagging, and the inclusion of an additional decay component in the likelihood function. The added decay component considers S-wave states of KK pairs in the Bs0 → J/[Psi] K+K- channel. The results are presented as 2-dimensional frequentist confidence regions for [beta]sJ/[Psi][Phi] and [Delta][Gamma] (the width difference between the Bs0 mass eigenstates), and as a confidence interval for [beta]sJ/[Psi][Phi] of [0.02,0.52] U [1.08, 1.55] at the 68% confidence level. The measurement of the CP violating phase obtained in this thesis is complemented by the world's most precise measurement of the lifetime [tau]s = 1.53 ± 0.025 (stat.) ± 0.012 (syst.) ps and decay width difference [Delta][Gamma] = 0.075 ± 0.035 (stat.) ± 0.01 (syst.) ps-1 of the Bs0 meson, with the assumption of no CP violation.

We present a measurement of the \CP-violating parameter \betas using approximately 6500 $\BsJpsiPhi$ decays reconstructed with the CDF\, II detector in a sample of $p\bar p$ collisions at $\sqrt{s}=1.96$ 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 $\betas \in [0.02, 0.52] \cup [1.08, 1.55]$ 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 $\Bs\to J/\psi K+̂K-̂$ final state which is found to be negligible over the mass interval $1.009

The B{sub s} meson is an interesting particle to study because a sizable mixing induced CP violation in the B{sub s} -- {bar B}{sub s} system would be an indication for physics beyond the Standard Model. In this paper we present a measurement of the lifetime difference [Delta][Gamma] between the B{sub s} mass eigenstates and the CP violating phase in the decay B{sub s} → J/[psi][phi]. In 1.7 fb−1 of data collected with the CDF II detector at the Tevatron p{bar p} collider we measure [Delta][Gamma] = 0.076{sup +0.059}{sub -0.063} (stat.) ±0.006 (syst.) ps−1, well consistent with the Standard Model prediction, and a mean B{sub s} lifetime of c{sub tau}{sub s} = 456 ± 13 (stat.) ± (syst.) [mu]m. We find no evidence for CP violation.