Abstract
We propose a non-diagonal generalization of a test, proposed by Wolfenstein, of CP violation in the B 0 d- B 0 d system: e + e − → B 0 1 B 0 2 (P wave) → X 0 X 0 and Y 0 are CP eigenstates with the same CP eigenvalue, one one Kobayashi-Maskawa-allowed and the other one KM-forbidden (like ψK 0 L and π + π −, CP = +1). In the limit ( ΔΓ) 2, ( ΔM) 2 ⪡ Γ 2 (as is predicted in the standard model for B 0 d-B 0 d), the cross section is just proportional to sin 2( ϕ 1 – ϕ 2), where ϕ 1, ϕ 2 are the phases defined by Sanda et al. for both modes. One can thus in principle isolate a pure non-superweak effect ( ϕ 1 ≠ ϕ 2), like in the ϵ′ parameter of K 0, K 0 . In the KM model sin 2( ϕ 1 – ϕ 2) ≈ O(1), but the branching ratios of these exclusive decays are expected to be small. Ironically, the KM model predicts the rate of the CP-allowed mode ψK 0 S , π + π − to be smaller than the CP-forbidden one ψK 0 L , π + π −. In some models of maximal CP violation, the CP-allowed mode is actually strictly forbidden and the CP-forbidden one is allowed.
Published Version
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