Genuine T, CP, CPT asymmetry parameters for the entangled B d system

Abstract

The precise connection between the theoretical T, CP, CPT asymmetries, in terms of transition probabilities between the filtered neutral meson Bd states, and the experimental asymmetries, in terms of the double decay rate intensities for Flavour-CP eigenstate decay products in a B-factory of entangled states, is established. This allows the identification of genuine Asymmetry Parameters in the time distribution of the asymmetries and their measurability by disentangling genuine and possible fake terms. We express the nine asymmetry parameters — three different observables for each one of the three symmetries — in terms of the ingredients of the Weisskopf-Wigner dynamical description of the entangled Bd-meson states and we obtain a global fit to their values from the BaBar collaboration experimental results. The possible fake terms are all compatible with zero and the information content of the nine asymmetry parameters is indeed different. The non-vanishing [InlineMediaObject not available: see fulltext.] and [InlineMediaObject not available: see fulltext.] are impressive separate direct evidence of Time-Reversal-violation and CP-violation in these transitions and compatible with Standard Model expectations. An intriguing 2σ effect for the Re(θ) parameter responsible of CPT-violation appears which, interpreted as an upper limit, leads to |MB¯0B¯0−MB0B0|<4.0×10−5 eV at 95% C.L. for the diagonal flavour terms of the mass matrix. It contributes to the CP-violating [InlineMediaObject not available: see fulltext.] asymmetry parameter in an unorthodox manner — in its cos(ΔM t) time dependence —, and it is accessible in facilities with non-entangled Bd’s, like the LHCb experiment.