The puzzles in $B\to \pi \pi$ and $\pi K$ decays: possible implications for R-parity violating supersymmetry

Abstract

Recent experiments suggest that certain data of $B\to \pi \pi ,\pi K$ decays are inconsistent with the standard model expectations. We try to explain the discrepancies with R-parity violating suppersymmetry. By employing the QCD factorization approach, we study these decays in the minimal supersymmetric standard model with R-parity violation. We show that R-parity violation can resolve the discrepancies in both $B\to \pi \pi$ and $B\to \pi K$ decays, and find that in some regions of parameter spaces all these requirements, including the CP averaged branching ratios and the direct CP asymmetries, can be satisfied. Furthermore, we have derived stringent bounds on relevant R-parity violating couplings from the latest experimental data, and some of these constraints are stronger than the existing bounds.

24 pages, 6 figures and 5 tables. Text revised. Final version to appear in PRD

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• Improved Measurements of CP-Violating Asymmetry Amplitudes in B0 -> pi+pi- Decays
• Reexamining $B\to \pi \pi ,\pi K$ Decays in QCD Factorization Approach
• Improved Measurements of Partial Rate Asymmetry in B -> h h Decays

Cited by in corpus (19)

• Quasi-two-body decays $B_{(s)}\to P\rho \to P\pi \pi$ in perturbative QCD approach
• Constraints on the nonuniversal Z^\prime couplings from B\toπK, πK^{\ast} and ρK Decays
• Implication of the B -> rho rho data on the B -> pi pi puzzle
• Probe R-parity Violating Supersymmetry Effects in $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and $B_s\to {\ell }^{+}{\ell }^{-}$ Decays
• The rare decays $B_u^{+}\to {\pi }^{+}{\ell }^{+}{\ell }^{-}$, ${\rho }^{+}{\ell }^{+}{\ell }^{-}$ and $B_d^0\to {\ell }^{+}{\ell }^{-}$ in the R-parity violating supersymmetry
• Exclusive B-> M ν\barν (M= π, K, ρ, K^*) Decays and Leptophobic Z^\prime Model
• B_s^0-\bar{B}_s^0 mixing and B -> πK decays in stringy leptophobic Z^\prime
• Resolving the $B\to K\pi$ puzzle by Glauber-gluon effects
• $B_s-{\bar{B}}_s$ Mixing and Its Implication for $b\to s$ Transitions in Supersymmetry
• Transverse-momentum-dependent wave functions with Glauber gluons in $B\to \pi \pi$, $\rho \rho$ decays
• The B-->pi K Puzzle and Supersymmetry
• The effects of a family non-universal Z-prime boson on B--->pipi decays
• Effect of Z'-mediated flavor-changing neutral current on B decays into Pi Pi
• B_s\to K^{(*)-}K^{(*)+}, K^{(*)-}π^{+}, K^{(*)-}ρ^{+} decays in R-parity violating supersymmetry
• Studying of Bs --> K(*)-pi+, K(*)-rho+ decays within supersymmetry
• $B_{d,s}^0\to f_1{f}_1$ decays with $f_1(1285)-f_1(1420)$ mixing in the perturbative QCD approach
• Searching for New Physics by means of Relative Phases and Moduli of Decay Amplitudes
• Right-handed current contributions in B -> K pi decays
• Implications for new physics from ${\bar{B}}^0\to {\pi }^0{\pi }^0$ and ${\bar{B}}^0\to {\bar{K}}^0{K}^0$