Possible test for CPT invariance with correlated neutral B decays

Abstract

We study breakdown of $CPT$ symmetry which can occur in the decay process $B\bar{B}\to l^{\pm }{X}^{\mp }f$ with $f$ being a CP eigenstate. In this process, the standard model expectations for time ordered semi-leptonic and hadronic events, i.e. which of the two decays takes place first, can be altered in the case that there is a violation of the $CPT$ symmetry. To illustrate this possibility, we identify and study several time integrated observables. We find that an experiment with $10^9$ $B\bar{B}$ pairs, has the capability for improving the bound on $CPT$ violating parameter or perhaps observe $CPT$ violation.

Comments: Revised version to be published in PRD