B decays dominated by omega-phi mixing

TL;DR

This paper investigates B meson decays involving omega-phi mixing, establishing bounds on rare decay processes and suggesting some could be observed with more data, while arguing rescattering effects are unlikely to significantly enhance rates.

Contribution

The paper uses omega-phi mixing to set lower bounds on B decay rates, providing insights into suppressed processes and their observability.

Findings

Belle's upper limit for B^0→J/ψ φ is about five times above the predicted lower bound.

Certain B decay modes like B^0→ar D^0 φ and B^+→π^+ φ could be observed with more data.

Rescattering is unlikely to significantly enhance the predicted decay rates.

Abstract

Recently Belle has established the 90% confidence level (CL) upper limit $\b < 9.4 \times 10^{-7}$ for the branching ratio for $B^0\to J/\psi \phi$, a process expected to be suppressed by the Okubo-Zweig-Iizuka (OZI) rule disfavoring disconnected quark diagrams. We use information on $\omega$--$\phi$ mixing to establish likely lower bounds on this and related processes. We find that the Belle result is about a factor of five above our limit, while other decays such as $B^0 \to \bar D^0 \phi$ and $B^+ \to \pi^+ \phi$, for which upper limits have been obtained by BaBar, could be observable with similar improvements in data. We argue that a significant enhancement of our predicted decay rates by rescattering is unlikely.