Charmless decays $B \to {\mathrm {PP}}, {\mathrm {PV}}$, and the effects of new strong and electroweak penguins in topcolor-assisted technicolor model

Z.J. Xiao; W.J. Li; L.B. Guo; G.R. Lu

doi:doi:10.1007/s100520100562

2021 Impact factor 4.991

Particles and Fields

Eur. Phys. J. C 18, 681-709
DOI: 10.1007/s100520100562

Charmless decays $B \to {\mathrm {PP}}, {\mathrm {PV}}$ , and the effects of new strong and electroweak penguins in topcolor-assisted technicolor model

Z.J. Xiao^{1, 2, 3}, W.J. Li², L.B. Guo^{1, 4} and G.R. Lu^{1, 2}

¹ CCAST(World Laboratory) P.O. Box 8730, Beijing 100080, P.R. China
² Department of Physics, Henan Normal University, Xinxiang 453002, P.R. China
³ Department of Physics, Peking University, Beijing 100871, P.R. China
⁴ Department of Physics, Wuhan University, Wuhan 430000, P.R. China

(Received: 18 August 2000 / Revised version: 22 October 2000 / Published online: 5 February 2001 -© Springer-Verlag 2001)

Abstract
Based on the low energy effective Hamiltonian with generalized factorization, we calculate the new physics contributions to the branching ratios and CP-violating asymmetries of the two-body charmless hadronic decays $B \to {\mathrm {PP}}, {\mathrm {PV}}$ from the new strong and electroweak penguin diagrams in the topcolor-assisted technicolor (TC2) model. The top-pion penguins dominate the new physics corrections, and both new gluonic and electroweak penguins contribute effectively to most decay modes. For tree-dominated decay modes $B \to \pi \pi, \rho \pi$ , etc. the new physics corrections are less than $10\%$ . For decays $B \to K^{(*)} \pi$ , $K^{(*)} \eta$ , $\pi^0 \eta^{(' )}$ , $\eta^{(')}\eta^{(')}$ , $K \overline{K}^0$ , $\overline{K}^{*0} K$ , etc. the new physics enhancements can be rather large (from $- 70\%$ to $\sim 200\%$ ) and are insensitive to the variations of N_c^eff, k², $\eta$ and $m_{\tilde{\pi}}$ within reasonable ranges. For the decays $B^0 \to \phi \pi$ , $\phi \eta^{(')}$ , $K^* \overline{K}^0$ and $\rho^+ K^0$ , $\delta {\cal B}$ is strongly N_c^eff dependent: varying from $-90\%$ to $\sim 1680\%$ in the range of N_c^eff=2- $\infty$ . The new physics corrections to the CP-violating asymmetries ${\cal A}_{CP}$ vary greatly for different B decay channels. For five measured CP asymmetries of the $B \to K \pi, K \eta^{\prime}, \omega \pi$ decays, $\delta {\cal A}_{CP}$ is only about $20\%$ and will be masked by large theoretical uncertainties. The new physics enhancements to interesting $B \to K \eta^{\prime}$ decays are significant in size ( $\sim 50\%$ ), insensitive to the variations of the input parameters and hence lead to a plausible interpretation for the unexpectedly large $B \to K \eta^{\prime}$ decay rates. The TC2 model predictions for branching ratios and CP-violating asymmteries of all fifty-seven $B \to {\mathrm {PP, PV}}$ decay modes are consistent with the available data within one or two standard deviations.