# $ω$-$φ$ mixing and weak annihilation in $D s$ decays - High Energy Physics - Phenomenology

$ω$-$φ$ mixing and weak annihilation in $D s$ decays - High Energy Physics - Phenomenology - Download this document for free, or read online. Document in PDF available to download.

Abstract: The mixing between nonstrange and strange quark wavefunctions in the $\omega$and $\phi$ mesons leads to a small predicted branching ratio $\bD s^+ \to\omega e^+ u e = {\cal O}10^{-4}\delta-3.34^\circ^2$, where $\delta$ isthe mixing angle. The value $\delta = -3.34^\circ$ is obtained in amass-independent analysis, while a mass-dependent analysis gives $\delta =-0.45^\circ$ at $m\omega$ and $-4.64^\circ$ at $m\phi$. Measurement of thisbranching ratio thus can tell whether the decay is dominated by$\phi$-$\omega$ mixing, or additional nonperturbative processes commonly knownas -weak annihilation- WA contribute. The role of WA in the decay $D s^+ \to\omega \pi^+$ and its possible use in estimating WA effects in $D s^+ \to\omega e^+ u e$ are also discussed. Assuming that the dynamics of WA in$D s^+ \to \omega \pi^+$ is similar in $D s^+ \to \omega e^+ u e$ we estimate$\bD s^+ \to \omega e^+ u e = 1.3 \pm 0.5\times 10^{-3}$.

Author: ** Michael Gronau, Jonathan L. Rosner**

Source: https://arxiv.org/