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.
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