The Effects of a Family Non-universal Z' Boson in the \bar{B}_s->πK, πK*, ρK Decays and B_d-\bar{B_d} mixing

Abstract

We revisit ${\bar{B}}_s\to \pi K$, $\pi K^{\ast }$ and $\rho K$ decays within QCDF formalism and examine the possible effects of a family non-universal $Z^{\prime }$ boson in these decays. In our evaluations, the strong constraints from $B_d-\overline{B_d}$ mixing on the strength of the left-handed flavor-changing $d-b-Z^{\prime }$ coupling $B_{db}^L$ ~($\sim 0.2\times 10^{-3}$) is also included. Numerically, we find that a new weak phase ${\varphi }_d^L\sim -50^{\circ }$ involved in $B_{db}^L$, the negative combination of the $u-u-Z^{\prime }$ and $d-d-Z^{\prime }$ couplings $P_{ud}^R$ and/or $D_{ud}^L$ with larger absolute value are crucial to improve the agreement of $\mathcal{B}({\bar{B}}_s\to {\pi }^{-}{K}^{+})$ between the SM prediction and the experimental measurement. Generally, $\mathcal{B}({\bar{B}}_s\to {\pi }^{-}{K}^{+})$ could be reduced by about 18% at most by $Z^{\prime }$ contributions. Moreover, combining with the recent updated measurement on ${\beta }_s$ by CDF and D0 collaborations, we also find that $Z^{\prime }$ effects in ${\bar{B}}_s\to {\pi }^{-}{K}^{+}$ decays are very important for examining whether the CKM-like hierarchy persists in a family non-universal $Z^{\prime }$ coupling matrix.

20 pages, 4 figures; final version to appear in Nucl. Phys. B

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Cited by in corpus (10)

• Revisiting the Annihilation Corrections in Non-leptonic ${\bar{B}}_s^0$ Decays within QCD Factorization
• $B_s^0-{\bar{B}}_s^0$ mixing in a family non-universal $Z^{\prime }$ model revisited
• The effects of a family non-universal Z-prime boson on B--->pipi decays
• Study of semileptonic decays $B\to \pi l^{+}{l}^{-}$ and $B\to \rho l^{+}{l}^{-}$ in non-universal Z' model
• Imprints of CP violation asymmetries in rare ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ decay in family non-universal $Z^{\prime }$ model
• Probing New Physics in $b\to d$ Transitions
• Investigation of rare semileptonic $B_c$ decays into $(D_{(}s,d{)}^{(}(\ast ))){\mu }^{+}{\mu }^{-}$ decays with non-universal $Z^{\prime }$ effect
• 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
• Charmless $B_c\to VV$ decays in the QCD factorization approach