CP, T and CPT versus temporal asymmetries for entangled states of the Bd-system

TL;DR

This paper develops new asymmetries based on entangled B-meson states to test T and CPT invariances, overcoming limitations of previous methods that rely on width differences which are negligible in the B-system.

Contribution

It introduces alternative CP-odd, CPT-odd, and T-odd asymmetries for B-mesons that do not depend on width differences, enabling tests of fundamental symmetries in the B-system.

Findings

New asymmetries are sensitive to T and CPT violations in B-mesons.

Method allows unambiguous tagging of CP eigenstates from entangled states.

Provides a framework for symmetry tests in the absence of width differences.

Abstract

The observables used in the K-system to characterize T and CPT violation are no longer useful for the Bd-system, since the width difference between the physical states is vanishingly small. We show that only Im(epsilon) and Re(delta) can survive if Delta Gamma=0, and build alternative CP-odd, CPT-odd, T-odd and temporal asymmetries for the (B_CP -> B0, B0bar) transitions. These quantities enable us to test T and CPT invariances of the effective Hamiltonian for the B-system. The method needs the CP eigenstates B_CP, which can be tagged unambiguously to order lambda^3 from the entangled states of a B-factory.