Some exact results on CP and CPT violations in a $C=-1$ entangled pseudoscalar neutral meson pair

Abstract

We consider neutral pseudoscalar mesons in an entangled or Einstein-Podolsky-Rosen state with $C=-1$. Due to quantum entanglement and antisymmetry of this state, the rates of the joint decays of the meson pair display various interesting features, as is well known. As functions of CP and CPT violating parameters, here we obtain some exact results about the joint decay rates and their asymmetries for a given time difference defined for joint decays to flavor eigenstates, as well as those for joint decays to CP eigenstates. The entanglement allows a meaningful and useful definition of the transition amplitude from a CP eigenstate of a meson. These results yield useful information and criteria on CP and CPT violations.

minor corrections. 14 pages, published in EPJC

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Cited by in corpus (7)

• Entangled baryons: violation of Inequalities based on local realism assuming dependence of decays on hidden variables
• Time reversal symmetry violation in entangled pseudoscalar neutral charmed mesons
• CP and CPT Violating Parameters Determined from the Joint Decays of $C=+1$ Entangled Neutral Pseudoscalar Mesons
• Novel correlated $D^0\overline{D}{}^0$ systems for $c/b$ physics and tests of $T/CPT$
• Standard Model of Particle Physics Violating Crypto-Nonlocal Realism
• Using Quantum entanglement to study CP and CPT violations
• New constraints on CPT symmetry violation in charm mesons