Dealing with T and CPT violations in mixing as well as direct and indirect CP violations for neutral mesons decaying to two vectors

Abstract

A large number of observables can be constructed from differential decay rate based on the polarization of final state while considering decay of a neutral meson $$(P^{0} \text { or } {\bar{P}}^{0})$$(P0orP¯0) to two vector particles. But all of these observables are not independent to each other since there are only a few independent theoretical parameters controlling the whole dynamics and therefore various relations among observables emerge. In this paper, we have studied the behaviour of observables for neutral meson decaying to two vectors in presence of $$T$$T and $$C\!P T$$CPT violations in mixing accompanied by both direct and indirect $$C\!P$$CP violations. We have expressed all of the fourteen unknown theoretical parameters for this scenario in terms observables only and constructed the complete set of thirty four relations among observables whose violation would signify the existence of some new Physics involving direct violation of $$C\!P T$$CPT. In addition, using this formalism we have studied three special cases too: (a) SM scenario, (b) SM plus direct $$C\!P$$CP violation (c) SM plus $$T$$T and $$C\!P T$$CPT violation in mixing.

The Dirac Sea, T and C Symmetry Breaking, and the Spinor Vacuum of the Universe

“…The study of the possible violation of the CP and the T symmetries in the lepton sector using the experiments on neutrino oscillations is one of the most important directions in the modern physics of quantum fields [26,27]. The possibility of the CPT symmetry breaking and the connection of such breaking with the CP and the T symmetry breaking and possible local Lorentz covariance breaking are also actively discussed and investigated [28,29].…”