$B^0-{\bar{B}}^0$ entanglement for an ideal experiment on the direct CP violation ${\varphi }_3/\gamma$ phase

Abstract

$B^0$--${\bar{B}}^0$ Entanglement offers a conceptual alternative to the single charged B-decay asymmetry for the measurement of the direct CP violating $\gamma /{\varphi }_3$ phase. With $f=J/\Psi K_L,J/\Psi K_S$ and $g=(\pi \pi {)}^0,({\rho }_L{\rho }_L{)}^0$ the 16 time-ordered double decay rate Intensities to $(f,g)$ depend on the relative phase between the the $f$- and $g$-decay amplitudes given by $\gamma$ at tree-level. Several constraining consistencies appear. An intrinsic accuracy of the method at the level of $\pm 1^{\circ }$ could be achievable at Belle-II with an improved determination of the penguin amplitude to $g$-channels from existing facilities.

arXiv comment6 pages, 1 figure

References in corpus (21)

• The Belle II Physics Book
• Determining $\gamma$ using $B^{\pm }\to D{K}^{\pm }$ with multibody D decays
• Improved Methods for Observing CP Violation in B+/- --> K+/- D0 and Measuring the CKM Phase gamma
• Observation of Time Reversal Violation in the B0 Meson System
• Model-independent determination of the strong-phase difference between D^0 and D^0-bar-> K^0_S,L h^+ h^- (h=pi,K) and its impact on the measurement of the CKM angle gamma/phi_3
• Measuring $\gamma$ in $B^{\pm }\to K^{\pm }(K{K}^{\ast }{)}_D$ decays
• Studying Indirect Violation of CP, T and CPT in a B-factory
• CP, T and CPT versus temporal asymmetries for entangled states of the Bd-system
• Time Reversal Violation from the entangled B0-antiB0 system
• Model-independent determination of the relative strong-phase difference between $D^0$ and ${\bar{D}}^0\to K_{S,L}^0{\pi }^{+}{\pi }^{-}$ and its impact on the measurement of the CKM angle $\gamma /{\varphi }_3$
• Penguin contributions to CP phases in $B_{d,s}$ decays to charmonium
• Simultaneous determination of CKM angle $\gamma$ and charm mixing parameters
• Determination of strong-phase parameters in $D\to K_{S,L}^0{\pi }^{+}{\pi }^{-}$
• Measuring gamma cleanly with CP-tagged Bs and Bd decays
• Improved model-independent determination of the strong-phase difference between $D^0$ and ${\bar{D}}^0\to K_{\mathrm{S},\mathrm{L}}^0{K}^{+}{K}^{-}$ decays
• Reparametrization invariance of B decay amplitudes and implications for new physics searches in B decays
• Novel T-Violation observable open to any pair of decay channels at meson factories
• Subtleties in the BaBar measurement of time-reversal violation
• Can one detect new physics in I=0 and/or I=2 contributions to the decays B --> pi pi?
• Genuine T, CP, CPT asymmetry parameters for the entangled ${\mathbf{B}}_{\mathbf{d}}$ system
• Correlated neutral B meson decays into CP eigenstates