$\omega$-$\varphi$ mixing and weak annihilation in $D_s$ decays

Abstract

The mixing between nonstrange and strange quark wavefunctions in the $\omega$ and $\varphi$ mesons leads to a small predicted branching ratio $\b(D_s^+ \to ωe^+ ν_e) = {\cal O}(10^{-4})(δ/3.34^\circ)^2$, where $\delta$ is the mixing angle. The value $\delta =-3.34^{\circ }$ is obtained in a mass-independent analysis, while a mass-dependent analysis gives $\delta =-0.45^{\circ }$ at $m(\omega )$ and $-4.64^{\circ }$ at $m(\varphi )$. Measurement of this branching ratio thus can tell whether the decay is dominated by $\varphi$--$\omega$ mixing, or additional nonperturbative processes commonly known as "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 $D_s^{+}\to \omega e^{+}{\nu }_e$ are also discussed. Assuming that the dynamics of WA in $D_s^{+}\to \omega {\pi }^{+}$ is similar in $D_s^{+}\to \omega e^{+}{\nu }_e$ we estimate $\b(D_s^+ \to ωe^+ ν_e) = (1.3 \pm 0.5)\times 10^{-3}$.

15 pages, 6 figures, to be submitted to Physical Review D. Reference added

References in corpus (8)

• Inclusive semileptonic B decays and the determination of |V_ub|
• S-waves and the Measurement of CP Violating Phases in Bs Decays
• Measurement of B(Ds+ -->ell+ nu) and the Decay Constant fDs From 600/pb of e+e- Annihilation Data Near 4170 MeV
• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• Decays of Charmed Mesons to PV Final States
• Flavor symmetry and decays of charmed mesons to pairs of light pseudoscalars
• B decays dominated by omega-phi mixing
• First Observation of the Decay D_s^+ to proton anti-neutron

Cited by in corpus (18)

• Two-body hadronic charmed meson decays
• ${\chi }_{c0}^{}(3915)$ As the Lightest $c\bar{c}s\bar{s}$ State
• Rescattering Contributions to rare B-Meson Decays
• Processes $e^{+}{e}^{-}\to {\pi }^0({{\pi }^0}^{\prime })\gamma$ in the NJL model
• Hadronic D and D_s Meson Decays
• Ds+ Exclusive Hadronic Decays Involving omega
• Semileptonic D decays and eta-eta^prime mixing
• $D_s$ Inclusive Decays
• Investigating $D_s^{+}\to {\pi }^0{\ell }^{+}{\nu }_{\ell }$ decay process within QCD sum rule approach
• Search for the decay $D_s^{+}\to \omega e^{+}\nu$
• Production of ${\pi }^0{\rho }^0$ pair in electron-positron annihilation in the Nambu-Jona-Lasinio model
• Study on pure annihilation type B to V gamma decays
• Semileptonic Decay of $D_s^{+}\to {\pi }^0{\ell }^{+}{\nu }_{\ell }$ Via Neutral Meson Mixing
• Search for the semileptonic decay $D_s^{+}\to {\pi }^0{e}^{+}{\nu }_e$
• Exploring the exclusive decay $B^{+}\to \omega {\ell }^{+}\nu$ with light-cone sum rules
• $\rho -\omega$ Mixing in $J/\psi \to VP$ Decays
• Status of the $D_s^{+}\to \varphi {\ell }^{+}{\nu }_{\ell }$ decay with a chiral-odd $\varphi$-meson light-cone distribution amplitude
• Exclusive semileptonic $B$ decays to the ground and excited states of light mesons