An Analysis of $B\to {\eta }^{\prime }K$ Decays Using a Global Fit in QCD Factorization

Abstract

In the framework of QCD factorization, we study $B^{+(0)}\to {\eta }^{\prime }{K}^{+(0)}$ decays. In order to more reliably determine the phenomenological parameters $X_H$ and $X_A$ arising from end-point divergences in the hard spectator scattering and weak annihilation contributions, we use the global analysis for twelve $B\to PP$ and $VP$ decay modes, such as $B\to \pi \pi$, $\pi K$, $\rho \pi$, $\rho K$, etc, but excluding the modes whose (dominant) internal quark-level process is $b\to s\bar{s}s$. Based on the global analysis, we critically investigate possible magnitudes of $X_{H,A}$ and find that both large and small $X_{H,A}$ terms are allowed by the global fit. In the case of the large $X_{H,A}$ effects, the standard model (SM) prediction of the branching ratios (BRs) for $B^{+(0)}\to {\eta }^{\prime }{K}^{+(0)}$ is large and well consistent with the experimental results. In contrast, in the case of the small $X_{H,A}$ effects, the SM prediction for these BRs is smaller than the experimental data. Motivated by the recent Belle measurement of $\sin (2{\varphi }_1)$ through $B^0\to \varphi K_s$, if we take into account possible new physics effects on the quark-level process $b\to s\bar{s}s$, we can explicitly show that these large BRs can be understood even in the small $X_{H,A}$ case. Specifically, we present two new physics scenarios: R-parity violating SUSY and R-parity conserving SUSY.

23 pages, 2 figures; Some references added

References in corpus (5)

• QCD factorization for B->PP and B->PV decays
• On supersymmetric contributions to the CP asymmetry of the B -> phi K_S
• Measurements of CP-violating Asymmetries and Branching Fractions in B Meson Decays to eta' K
• B^0 -> phi K_S in SUGRA models with CP violations
• B -> eta^(\prime) l nu decays and the flavor-singlet form factor

Cited by in corpus (14)

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• Eta-eta' masses and mixing: a large N_c reappraisal
• $B_s-\overline{B_s}$ mixing, B decays and R-parity violating supersymmetry
• Constraints on the anomalous tensor operators from B\toϕK^{\ast}, ηK^{\ast}$ and ηK decays
• $B_s-{\bar{B}}_s$ Mixing and Its Implication for $b\to s$ Transitions in Supersymmetry
• Study of the exclusive $b\to u{\ell }^{-}{\bar{\nu }}_{\ell }$ decays in the MSSM with and without R-parity violation
• Nonet symmetry in η, η^{\prime} and B\to Kη,Kη^{\prime} decays
• Studying Double Charm Decays of B_{u,d} and B_{s} Mesons in the MSSM with R-parity Violation
• Rare Weak Decays and Direct Lepton Number Violating Signals in a Minimal R-Parity Violating Model of Neutrino Mass
• Testing QCD factorization with phase determinations in $B\to K\pi$,$K\rho$ and $K^{\ast }\pi$ decays
• Leptophobic dark photon interpretation of the ${\eta }^{\left(\prime \right)}\to {\pi }^0\left(\eta \right)\gamma \gamma$ puzzle
• An analysis of B meson decays to two light pseudoscalar nonets with deltaS=1 in QCD factorization approach
• $B\to K\eta ,K{\eta }^{\prime }$ Decays