Explaining B \to K pi anomaly with non-universal Z' boson

Abstract

We study the effect of non-universal $Z^{\prime }$ boson in the decay modes $B\to K\pi$. In the standard model these modes receive dominant contributions from $b\to s$ QCD penguins. Therefore, in this limit one expects $S_{{\pi }^0{K}^0}\approx \sin 2\beta$, $A_{{\pi }^0{K}^0}\approx 0$ and $A_{{\pi }^0{K}^{-}}\approx A_{{\pi }^{+}{K}^{-}}$. The corrections due to the presence of small non-penguin contributions is found to yield $S_{{\pi }^0{K}^0}>\sin 2\beta$ and $\Delta A_{CP}(K\pi )\simeq 2.5$. However, the measured value of $S_{{\pi }^0{K}^0}$ is less than $\sin 2\beta$ and $\Delta A_{CP}(K\pi )\simeq 15$. We show the model with a non-universal $Z^{\prime }$ boson can successfully explain these anomalies.

11 pages, 3 figures

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• Testing the Non-universal Z^\prime Model in Bs -> ϕπ^0 Decay
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• Semileptonic Transition of $Σ_b \rar Σμ^+ μ^-$ in Family Non-universal $Z^{\prime }$ Model
• Study of the rare decays $B_{s,d}^{\ast }\to {\mu }^{+}{\mu }^{-}$
• Flavor changing Z' couplings at the LHC
• Lambda_b -> Lambda l+ l- decay within family non-universal Z' model
• The effects of a family non-universal Z-prime boson on B--->pipi decays
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• Tau lepton charge asymmetry and new physics at the LHC
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• Implication of the Fourth Generation Standard Model to the Lepton Polarization asymmetries in the $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ Decay
• Analysis of Angular Observables of ${\Lambda }_b\to \Lambda (\to p\pi ){\mu }^{+}{\mu }^{-}$ Decay in Standard and $Z^{\prime }$ Models
• Family Non-universal $Z^{\prime }$ Effects on $B_{d,s}\to K^{\ast 0}{\overline{K}}^{\ast 0}$ Decays in Perturbative QCD Approach
• The B ---> π K puzzle and the Bulk Randall-Sundurm model
• Leptophobic dark photon interpretation of the ${\eta }^{\left(\prime \right)}\to {\pi }^0\left(\eta \right)\gamma \gamma$ puzzle
• Inspection of new physics in ${\mathrm{B}}_{\mathrm{s}}^0\to {\mathrm{K}}^{+}{\mathrm{K}}^{-}$ decay mode