FSI Rescattering in $B^{\pm }$ Decays via States with $\eta ,{\eta }^{\prime },\omega$ and $\varphi$

Abstract

New results going beyond those obtained from isospin and flavor symmetry and subject to clear experimental tests are obtained for effects of FSI in $B^{\pm }$ decays to charmless strange final states containing neutral flavor-mixed mesons like $\omega$, $\varphi$, $\eta$ and ${\eta }^{\prime }$. The most general strong-interaction diagrams containing arbitrary numbers of quarks and gluons are included with the assumptions that any $q\bar{q}$ pair created by gluons must be a flavor singlet, and that there are no hairpin diagrams in which a final meson contains a $q\bar{q}$ pair from the same gluon vertex. The smallness of $K^{-}\eta$ suggests that it might have a large CP violation. A sum rule is derived to test whether the large $K^{-}{\eta }^{\prime }$ requires the addition of an additional glueball or charm admixture. Further analysis from $D_s$ decay systematics supports this picture of FSI and raises questions about charm admixture in the ${\eta }^{\prime }$.

References in corpus (3)

• B to eta' + X and The QCD Anomaly
• B Decays Involving $\eta$ and ${\eta }^{\prime }$ in the Light of the $B\to K{\eta }^{\prime }$ Process
• Penguins, Trees and Final State Interactions in B Decays in Broken SU3

Cited by in corpus (30)

• Flavor-Singlet B-Decay Amplitudes in QCD Factorization
• Strong Decays of Strange Quarkonia
• Charmless $B\to PP$ decays using flavor SU(3) symmetry
• Two body B decays with isosinglet final states in SCET
• Z' Mediated Flavor Changing Neutral Currents in B Meson Decays
• Charmless $B\to VP$ Decays Using Flavor SU(3) Symmetry
• Updating B --> PP, VP decays in the framework of flavor symmetry
• Low-Mass Baryon-Antibaryon Enhancements in B Decays
• CP asymmetries in three-body B+- decays to charged pions and kaons
• Two-Body Charmless B Decays Involving eta and eta'
• B -> K eta(') decay in perturbative QCD
• Final-State Phases in Charmed Meson Two-Body Nonleptonic Decays
• A useful approximate isospin equality for charmless strange B Decays
• New Information on B Decays to Charmless VP Final States
• The $b\to s$ penguin amplitude in charmless $B\to PP$ decays
• Flavor SU(3) symmetry and QCD factorization in $B\to PP$ and $PV$ decays
• Updated Analysis of Some Two-Body Charmless B Decays
• On measuring alpha in B(t)-> rho^\pm pi^\mp
• Final-State Phases in Doubly-Cabibbo-Suppressed Charmed Meson Nonleptonic Decays
• Flavor symmetry analysis of charmless B --> VP decays
• Reducing the Error on alpha in B-> pi pi, rho rho, rho pi
• Adiabaticity and color mixing in tetraquark spectroscopy
• Branching Ratio and CP Asymmetry of $B_s\to {\pi }^0{\eta }^{(\prime )}$ Decays in the perturbative QCD Approach
• Puzzles in Hyperon, Charm and Beauty Physics
• Experimental Puzzles in Heavy Flavor Decays - Anomalously high ${\eta }^{\prime }$ appearance in charmless strange B decays - Flavor SU(3) breaking in Charm Decays
• Okubo-Zweig-Iizuka-rule violation and B\to η^{(\prime)}K branching ratios
• Anomalous enhancement of a penguin hadronic matrix element in B->K eta'
• A theoretical determination of the eta-eta' mixing
• New Physics in b -> s bar(s) s Decay. II: Study of B -> V1 V2 Modes
• Combining Information from $B\to \pi \pi$ and $B\to \pi \rho ,\pi \omega$ Decays