Correlated neutral B meson decays into CP eigenstates

Abstract

In the two correlated $B$ meson decay experiment we propose to measure intensities relating CP eigenstate ($J/ψK_{S,L}$) decays on $both$ sides, which will be measurable in future upgrades of KEK and PEP. As a CP-forbidden transition, we obtain $I(J/ψK_S, J/ψK_S, Δt) \sim \sin ^2 (2β)$. We calculate in a model independent way all the possible intensities relating final CP and flavour eigenstate decays. Under CPT-invariance, the asymmetries for processes related by CP$Δt$ vanish for $ΔΓ=0$ and measure $ΔΓ$ linearly. We notice the impossibility to isolate the sign of $\cos (2\bet a)$ without an independent knowledge of the sign of $ΔΓ$. This exhaustion of the possible Golden Plate and flavour decays provides new observables which may throw light in our present understanding of CKM physics.