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

  • José Bernabéu
  • Francisco J. Botella
  • Miguel Nebot
Open Access
Regular Article - Theoretical Physics


The precise connection between the theoretical T, CP, CPT asymmetries, in terms of transition probabilities between the filtered neutral meson B d 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 B d -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 Open image in new window and Open image in new window 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 \( \left|{M}_{{\overline{B}}^0{\overline{B}}^0}-{M}_B{{{}_{{}^0}}_B}_{{}^0}\right|<4.0\times 1{0}^{-5} \) eV at 95% C.L. for the diagonal flavour terms of the mass matrix. It contributes to the CP-violating Open image in new window asymmetry parameter in an unorthodox manner — in its cos(ΔM t) time dependence —, and it is accessible in facilities with non-entangled B d ’s, like the LHCb experiment.


Discrete Symmetries Space-Time Symmetries 


Open Access

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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • José Bernabéu
    • 1
  • Francisco J. Botella
    • 1
  • Miguel Nebot
    • 1
  1. 1.Departament de Fśica Teòrica & IFIC, Universitat de València & CSICValènciaSpain

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