$B^0-{\bar{B}}^0$ 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.

6 pages, 1 figure

References in corpus (4)

• Observation of Time Reversal Violation in the B0 Meson System
• Time Reversal Violation from the entangled B0-antiB0 system
• Simultaneous determination of CKM angle $\gamma$ and charm mixing parameters
• 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