CP phase of nonuniversal $Z^{\prime }$ on $\sin {\varphi }_s^{J/\Psi \varphi }$ and T-odd observables of ${\bar{B}}_q\to V_q{\ell }^{+}{\ell }^{-}$

Abstract

The evidence of a large CP phase has been shown by CDF and DØ collaborations in the time-dependent CP asymmetry (CPA) of $B_s\to J/\Psi \varphi$ decay, where the nonvanished CPA clearly implies the existence of a non-Kobayashi-Maskawa phase in $b\to s$ transition. We study the new phases originated by the extra family dependent $U(1{)}^{\prime }$ model and examine their impact on $\hat{T}$ or CP violating observables in ${\bar{B}}_q\to V_q{\ell }^{+}{\ell }^{-}$ decays with $V_q=K^{\ast }(\varphi )$. Adopting the constraints from the current data of $\Delta m_s$ and the branching ratios for ${\bar{B}}_s\to {\mu }^{+}{\mu }^{-}$ and ${\bar{B}}_q\to V_q{\ell }^{+}{\ell }^{-}$, we find that ${\varphi }_s^{J/\Psi \varphi }=-(0.26\pm 0.22)$ and the T-odd observables of above 10% in the decay chain ${\bar{B}}_q\to V_q(\to K\pi [KK]){\ell }^{+}{\ell }^{-}$ can be achieved. In addition, we demonstrate that the longitudinal and transverse polarizations of $K^{\ast }$ and the up-down asymmetry of $K$ in the same decay chain are also sensitive to the $Z^{\prime }$-mediated effects.

13 pages, 3 figures, references added, final version to appear in PLB

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• New observables in the decay mode anti-B --> anti-K*0 l+ l-
• Constraints on flavor-changing Z' models by B_s mixing, Z' production, and B_s -> μ^+ μ^-
• Family Non-universal $U(1{)}^{\prime }$ Gauge Symmetries and $b\to s$ Transitions
• Small violations of unitarity, the phase in Bs mixing and visible t->cZ decays at the LHC
• U-boson and the HyperCP exotic events
• Ansatz for small FCNC with a non-universal $Z^{\prime }$
• New CP phase of $B_s-{\bar{B}}_s$ mixing on $\mathrm{T}$ violation in $B_{d(s)}\to K^{\ast }(\varphi ){\ell }^{+}{\ell }^{-}$

Cited by in corpus (14)

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• Testing the Non-universal Z^\prime Model in Bs -> ϕπ^0 Decay
• $B_s^0-{\bar{B}}_s^0$ mixing in a family non-universal $Z^{\prime }$ model revisited
• Axigluon on like-sign charge asymmetry ${\mathcal{A}}_{s\ell }^b$, FCNCs and CP asymmetries in B decays
• The effects of a family non-universal Z-prime boson on B--->pipi decays
• Phenomenological Implications of Supersymmetric Family Non-universal U(1)-prime Models
• Imprints of CP violation asymmetries in rare ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ decay in family non-universal $Z^{\prime }$ model
• Analysis of ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ rare decays in a non-universal $Z^{\prime }$ model
• Effects of neutral $Z^{\prime }$ boson in $B_s\to \varphi {\ell }^{+}{\ell }^{-}$ decay with polarized $\varphi$ and the unpolarized and polarized $CP$ violation asymmetry
• Analysis of Angular Observables of ${\Lambda }_b\to \Lambda (\to p\pi ){\mu }^{+}{\mu }^{-}$ Decay in Standard and $Z^{\prime }$ Models
• Study of $B_s^0\to l^{+}{l}^{-}\gamma$ decays in the nonuniversal Z' model
• Measurement of CP violation in Bs --> J/psi phi decay