Bottom hadron lifetime measurements have been performed using B → J/[psi] → [mu]+[mu]−X dacays recorded with the collider Detector at Fermilab (CDF) during the first half of the 1992--1993 Tevatron collider run. These decays have been reconstructed in a silicon vertex detector. Using 5344 ± 73 inclusive J/[psi] events, the average lifetime of all bottom hadrons produced in 1.8 TeV p{bar p} collisions and decaying into a J/[psi] events, the average lifetime of all bottom hadrons produced in 1.8 TeV p{bar p} collisions and decaying into a J/[psi] is found to be 1.46 ± 0.06(stat) ±0.06(sys)ps. The charged and neutral B meson lifetimes have been measured separately using 75 ±10 (charged) and 61±9 (neutral) fully reconstructed decays; preliminary results are [tau]{sup ±} = 1.63 ± 0.21(stat) ± 0.16(sys) ± 0. 10(sys) ps, yielding a lifetime ratio of [tau]{sup ±}/[tau]° = 1.06{plus_minus} 0.20(stat){plus_minus}0.12(sys).

The techniques used to perform a measurement of the mixing frequency of the B{sub s} meson ({Delta}M{sub s}) with the CDF detector at the TeVatron collider are described. Particular stress is put on CDF techniques for flavor tagging, which is possibly the major issue for mixing measurements at a hadron collider. Also CDF performances on lifetime and final state reconstruction are described. The final result of the amplitude scanning presented at 2005 Winter Conferences is reported.

For a long time after the discovery in 1964, by Christenson, Cronin, Fitch and Turlay, that the long-lived neutral kaon decays both into three and into two pions, which has since been taken as proof of CP violation, successive new and more precise experiments confirmed the original evidence and provided results compatible with a phenomenological description confining the CP violation to the mixing between neutral kaons and antikaons. However the Standard Model, with three generations of quarks, linking as it does CP violation to the presence of a single non trivial phase in the Cabibbo-Kobayashi-Maskawa quark mixing matrix, implies that if CP violation exists at all, then it is a general property of weak interactions, appearing in transitions were amplitudes involving all three quark families interfere with each other, producing effects with a magnitude related to that of the CKM coefficients. This fact has stimulated an impressive amount of theoretical work leading in many cases to precise predictions. This publication reviews the field, from both the theoretical and experimental point of view, while planning for the forthcoming experimentation at LHC and considering possible new facilities for kaon, B meson and neutrino physics. Abstracted in Inspec

The Tevatron experiments, CDF and D0, have produced a wealth of new B-physics results since the start of Run II in 2001. We've observed new B-hadrons, seen new effects, and increased many-fold the precision with which we know the properties of b-quark systems. In these proceedings, we will discuss two of the most fruitful areas in the Tevatron B-physics program: lifetimes and mixing. We'll examine the experimental issues driving these analyses, present a summary of the latest results, and discuss prospects for the future.

The authors present recent results on b-hadron lifetimes and mixing obtained from the analysis of the data collected at the Tevatron Collider by the CDF and D0 Collaborations in the period 2002-2004. Many lifetime measurements have been updated since the Summer 2004 conferences, sometimes improving significantly the accuracy. Likewise the measurement of the B{sub d} oscillation frequency has been updated. New limits on the B{sub s} oscillation frequency have been determined using for the first time Run II data.