Updating B --> PP, VP decays in the framework of flavor symmetry

Abstract

Current data of charmless B meson decays to two pseudoscalar mesons (PP) and one vector and one pseudoscalar mesons (VP) are analyzed within the framework of flavor SU(3) symmetry, a working principle that we have tested by allowing symmetry breaking factors in the decay amplitudes and found to be a good approximate symmetry. In the PP sector, the color-suppressed tree amplitude is found to be larger than previously known and has a strong phase of ~ -70^o relative to the color-favored tree amplitude. We have extracted for the first time the W-exchange and penguin-annihilation amplitudes. The former has a size of about the QCD-penguin amplitude and a phase opposite to that of the color-favored tree amplitude, while the latter is suppressed in magnitude but gives the dominant contribution to the $B_s^0\to {\pi }^{+}{\pi }^{-}$ and ${\pi }^0{\pi }^0$ decays. In the VP sector, one striking feature is that the color-suppressed tree amplitude with the spectator quark ending up in the vector meson has a large size and a strong phase of ~ -90^o relative to the color-favored tree amplitudes. The associated electroweak penguin amplitude also has a similar strong phase and a magnitude comparable to the corresponding QCD penguin amplitude. This leads to a large branching fraction of order 10^{-6} for $B_s^0\to \varphi {\pi }^0$. In contrast, the color-suppressed tree, QCD penguin, and electroweak penguin amplitudes with the spectator quark ending up in the pseudoscalar meson have magnitudes more consistent with naive expectations. Besides, current data are not sufficiently precise for us to fix the W-exchange amplitudes. For both the PP and VP sectors, predictions of all the decay modes are made based upon our preferred fit results and compared with data and those made by perturbative approaches. We have identified a few observables to be determined experimentally in order to discriminate among theory calculations.

34 pages, 19 tables; references updated

References in corpus (10)

• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Penguin-dominated B -> PV decays in NLO perturbative QCD
• Branching ratios and CP asymmetries of $B\to K{\eta }^{(\prime )}$ decays in the pQCD approach
• Charmless Two-body $B(B_s)\to VP$ decays In Soft-Collinear-Effective-Theory
• Amplitude Analysis of B0-->K+ pi- pi0 and Evidence of Direct CP Violation in B--> K* pi decays
• Glauber gluons in spectator amplitudes for $B\to \pi M$ decays
• $B\to {\eta }^{(\prime )}({\ell }^{-}{\bar{\nu }}_{\ell },{\ell }^{+}{\ell }^{-},K,K^{\ast })$ decays in the quark-flavor mixing scheme
• Branching Ratio and CP Asymmetry of $B^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
• Flavor symmetry analysis of charmless B --> VP decays
• NLO contributions to $B\to K{K}^{\ast }$ Decays in the pQCD approach

Cited by in corpus (22)

• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• Analysis of Charmless Two-body B decays in Factorization Assisted Topological Amplitude Approach
• Direct CP violation in beauty and charm hadron decays
• Hochschild homology, trace map and $\zeta$-cycles
• Branching Fractions and CP Asymmetries of the Quasi-Two-Body Decays in $B_s\to K^0({\overline{K}}^0)K^{\pm }{\pi }^{\mp }$ within PQCD Approach
• Branching Fractions and CP Violation in $B^{-}\to K^{+}{K}^{-}{\pi }^{-}$ and $B^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^{-}$ Decays
• Non-leptonic beauty baryon decays and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• A global analysis of charmless two body hadronic decays for anti-triplet charmed baryons
• Constraints on hard spectator scattering and annihilation corrections in $B_{u,d}$ $\to$ $PV$ decays within QCD factorization
• Suppressed $B\to PV$ CP asymmetry: CPT constraint
• Transverse-momentum-dependent wave functions with Glauber gluons in $B\to \pi \pi$, $\rho \rho$ decays
• Weak Radiative Decays of Anti-triplet Bottomed Baryons in Light-Front Quark Model
• Probing Spectator Scattering and Annihilation Corrections in $B_s$ $\to$ $PV$ Decays
• Study of the weak annihilation contributions in charmless $B_s\to VV$ decays
• Beauty baryon non-leptonic decays into decuplet baryons and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• Fits of Weak Annihilation and Hard Spectator Scattering Corrections in $B_{u,d}\to VV$ Decays
• Search for the decay Bs -> D*-+ π+-
• Evidence for the decay B0->eta pi^0
• A model independent method for quantitative estimation of $SU(3)$ flavor symmetry breaking using Dalitz plot
• Search for the Decay $B_s^0\to {\eta }^{\prime }\eta$
• SU(3) symmetry and its breaking effects in semileptonic heavy baryon decays
• Recent results from the Belle experiment