$\Delta t$-dependent equal-sign dilepton asymmetry and CPTV effects in the symmetry of the $B^0$--${\bar{B}}^0$ entangled state

Abstract

In this paper we discuss experimental consequences of a novel kind of CPT violation which would manifest itself in the symmetry of the entangled initial state of $B^0$ and ${\bar{B}}^0$ through their loss of indistinguishability. The ``wrong'' symmetry component is proportional to $\omega$. We focus our theoretical study on the $\Delta t$-dependence of observables concerning equal-sign dilepton events for which the intensity vanishes at $\Delta t=0$ in absence of $\omega$. We find that the charge asymmetry, $A_{sl}$, acquires a $\Delta t$-dependence linear in $\omega$, whose relative importance appears on specific regions of time still unexplored. We also do a statistical analysis for the measurements here proposed and find a high sensitivity to this new CPT-violating effect in this charge asymmetry. We obtain the first limits on the $\omega$-effect by re-analyzing existing data on the $A_{sl}$ asymmetry.

arXiv comment19 pages, 11 figures; minor changes, additional and updated references

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• T and CPT Symmetries in Entangled Neutral Meson Systems
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• Some exact results on CP and CPT violations in a $C=-1$ entangled pseudoscalar neutral meson pair
• Time reversal symmetry violation in entangled pseudoscalar neutral charmed mesons
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• CP and CPT Violating Parameters Determined from the Joint Decays of $C=+1$ Entangled Neutral Pseudoscalar Mesons
• The signal of ill-defined CPT weakening entanglement in the $B_d$ system
• Exact Theorems Concerning CP and CPT Violations in C=-1 Entangled State of Pseudoscalar Neutral Mesons
• Extracting Rephase-invariant CP and CPT Violating Parameters from Asymmetries of Time-Ordered Integrated Rates of Correlated Decays of Entangled Mesons
• A Novel Foamy Origin for Singlet Fermion Masses
• Standard Model of Particle Physics Violating Crypto-Nonlocal Realism
• Quantum Gravity, CPT symmetry and Entangled States
• Neutral kaon interferometry at KLOE and KLOE-2