The effects of a family non-universal Z-prime boson on B--->pipi decays

Abstract

Motivated by the measured large branching ratio of ${\bar{B}}^0\to {\pi }^0{\pi }^0$ (the so-called "$\pi \pi$" puzzle), we investigate the effects of a family non-universal $Z^{\prime }$ model on the tree-dominated $B\to \pi \pi$ decays. We find that the $Z^{\prime }$ coupling parameter ${\zeta }_d^{LR}\sim 0.05$ with a nontrivial new weak phase ${\varphi }_d^L\sim -50^{\circ }$, which is relevant to the $Z^{\prime }$ contributions to the QCD penguin sector $△C_5$, is needed to reconcile the observed discrepancy. Combined with the recent fitting results from $B\to \pi K$, $\pi K^{\ast }$ and $\rho K$ decays, the $Z^{\prime }$ parameter spaces are severely reduced but still not excluded entirely, implying that both the "$\pi \pi$" and "$\pi K$" puzzles could be accommodated simultaneously within such a family non-universal $Z^{\prime }$ model.

28 pages, 4 figures. References and discussions added. To appear in IJMPA

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• 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
• Semileptonic Transition of $Σ_b \rar Σμ^+ μ^-$ in Family Non-universal $Z^{\prime }$ Model
• 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
• Probing New Physics in $b\to d$ Transitions
• Effect of Z'-mediated flavor-changing neutral current on B decays into Pi Pi
• Imprints of CP violation asymmetries in rare ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ decay in family non-universal $Z^{\prime }$ model
• Analysis of ${\Lambda }_b\to$ $p{K}^{-}$ and $p{\pi }^{-}$ decays in a flavor changing $Z^{\prime }$ 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