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We study the effect of non-universal $Z$ 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 $Z$ boson can successfully explain these anomalies.
Recently, we have seen interesting progress in the exploration of CP violation in B^0_d -> pi^+ pi^-: the measurements of mixing-induced CP violation by the BaBar and Belle collaborations are now in good agreement with each other, whereas the picture
We summarize a recent strategy for a global analysis of the B -> pi pi, pi K systems and rare decays. We find that the present B -> pi pi and B -> pi K data cannot be simultaneously described in the Standard Model. In a simple extension in which new
We propose a method to quantify the Standard Model uncertainty in B to K pi decays using the experimental data, assuming that power counting provides a reasonable estimate of the subleading terms in the 1/mb expansion. Using this method, we show that
We study two rare decays, $Z to pi^+pi^-$ and $K^+K^-$, in the perturbative QCD approach up to the next-to-leading order of the strong coupling and the leading power of $1/m_Z$, $m_Z$ being the $Z$ boson mass. The branching ratios $mathcal{B}(Zto pi^
A non-universal $U(1)_{X}$ extension to the Standard Model composed of two scalar doublets and two scalar singlets together with three additional quark singlets and two lepton singlets and three generations of right-handed and Majorana neutrinos is m