Bounding $CPT$ violation in the neutral $B$ system

Abstract

The feasibility of placing bounds on $CPT$ violation from experiments with neutral $B$ mesons is examined. We consider situations with uncorrelated mesons and ones with either unboosted or boosted correlated mesons. Analytical expressions valid for small $T$- and $CPT$-violating parameters are presented for time-dependent and time-integrated decay rates, and various relevant asymmetries are derived. We use Monte Carlo simulations to model experimental conditions for a plausible range of $CPT$-violating parameters. The treatment uses realistic data incorporating background effects, resolutions, and acceptances for typical detectors at CERN LEP, CESR, and the future $B$ factories. Presently, there are no bounds on $CPT$ violation in the $B$ system. We demonstrate that limits of order 10% on $CPT$ violation can be obtained from data already extant, and we determine the $CPT$ reach attainable within the next few years.