Relations for two body B Decays to Charmonium and tests for $\eta -{\eta }^{\prime }$ mixing

Abstract

The two body decays of $B_d$ and $B_s$ decays into $J/\psi M$, where $M$ is a light meson, is studied under the very simple assumptions that the spectator quark does not play a role in the decay of the weak heavy quark or antiquark. This hypothesis leads to interesting relations between decay amplitudes. The assumption of SU(3) symmetry leads to additional relations between the decay amplitudes and in particular, the eight CP eigenstates $J/\psi K_S$, $J/\psi \eta$, $J/\psi {\eta }^{\prime }$ and $J/\psi {\pi }^o$ are all given in terms of 0. If agreement with experiment validates these assumptions the parameters over determined by the results will give information about the ratio of penguin to tree contributions to the "golden channel" $B^o\to J/\psi K_S$ decay and will provide tests for the standard $\eta -{\eta }^{\prime }$ mixing, which assumes that this mixing is determined by a single mixing angle, as well as determine the value of the mixing angle. We also present tests of the standard $\eta -{\eta }^{\prime }$ mixing involving semileptonic $D$ decays.

Latex, 12 pages

References in corpus (1)

• Experimental Puzzles in Heavy Flavor Decays - Anomalously high ${\eta }^{\prime }$ appearance in charmless strange B decays - Flavor SU(3) breaking in Charm Decays

Cited by in corpus (17)

• The Status of Glueballs
• Triple-Product Correlations in B -> V1 V2$ Decays and New Physics
• eta - eta prime Mixing -From electromagnetic transitions to weak decays of charm and beauty hadrons
• Composition of the Pseudoscalar Eta and Eta' Mesons
• Exploring CP Violation and $\eta$-${\eta }^{\prime }$ Mixing with the $B_{s,d}^0\to J/\psi {\eta }^{(\prime )}$ Systems
• Implications on $\eta$-${\eta }^{\prime }$-glueball mixing from $B_{d/s}\to J/\Psi {\eta }^{{(}^{\prime })}$ Decays
• Study of $\eta -{\eta }^{\prime }$ mixing from measurement of $B_{(s)}^0\to J/\psi {\eta }^{(\prime )}$~decay rates
• Extracting γfrom Bd(t) -> D(*)+ D(*)- and Bd -> Ds(*)+ D(*)- Decays
• Nonleptonic ${\Lambda }_b$ decays to $D_s(2317)$, $D_s(2460)$ and other final states in Factorization
• Analysis of new charmless strange B decay data leaves high $B\to K{\eta }^{\prime }$ and $B\to K{\eta }^{\prime }X$ still unexplained
• Obtaining CKM Phase Information from B Penguin Decays
• Non Standard $\eta -{\eta }^{\prime }$ mixing and the Nonleptonic B and ${\Lambda }_b$ Decays to $\eta$ and ${\eta }^{\prime }$
• Flavor $SU(3)$ in Cabibbo-favored $D$-meson decays
• Hadronic B Decays: A General Approach
• An exploration of $B_s\to J/\psi s\bar{s}$
• Improved measurement of $\eta /{\eta }^{\prime }$ mixing in $B_{(s)}^0\to J/\psi {\eta }^{(\prime )}$ decays
• Mixing of $\eta -{\eta }^{\prime }$ in charge-exchange reactions and decays of mesons with heavy quarks