Revisiting B\toπK, πK^{\ast} and ρK decays: CP violations and implication for New Physics

Abstract

Combining the up-to-date experimental information on $B\to \pi K,\pi K^{\ast }$ and $\rho K$ decays, we revisit the decay rates and CP asymmetries of these decays within the framework of QCD factorization. Using an infrared finite gluon propagator of Cornwall prescription, we find that the time-like annihilation amplitude could contribute a large strong phase, while the space-like hard spectator scattering amplitude is real. Numerically, we find that all the branching ratios and most of the direct CP violations, except $A_{CP}(B^{\pm }\to K^{\pm }{\pi }^0)$, agree with the current experimental data with an effective gluon mass $m_g\simeq 0.5\mathrm{GeV}$. Taking the unmatched difference in direct CP violations between $B\to {\pi }^0{K}^{\pm }$ and ${\pi }^{\mp }{K}^{\pm }$ decays as a hint of new physics, we perform a model-independent analysis of new physics contributions with a set of $\bar{s}(1+{\gamma }_5)b\otimes \bar{q}(1+{\gamma }_5)q$ (q=u,d) operators. Detail analyses of the relative impacts of the operators are presented in five cases. Fitting the twelve decay modes, parameter spaces are found generally with nontrivial weak phases. Our results may indicate that both strong phase from annihilation amplitude and new weak phase from new physics are needed to resolve the $\pi K$ puzzle. To further test the new physics hypothesis, the mixing-induced CP violations in $B\to {\pi }^0{K}_S$ and ${\rho }^0{K}_S$ are discussed and good agreements with the recent experimental data are found.

Version published in JHEP

References in corpus (5)

• Scaling behavior and positivity violation of the gluon propagator in full QCD
• Benchmarks for the New-Physics Search through CP Violation in B^0->pi^0 K_S
• The Landau gauge gluon and ghost propagators in 4D SU(3) gluodynamics in large lattice volumes
• Implications for CP asymmetries of improved data on $B\to K^0{\pi }^0$
• Measurements of CKM angle phi1 with charmless penguins at Belle

Cited by in corpus (1)

• B_s\to K^{(*)-}K^{(*)+}, K^{(*)-}π^{+}, K^{(*)-}ρ^{+} decays in R-parity violating supersymmetry