Revisiting B->phi pi Decays in the Standard Model

Abstract

In the standard model (SM), we re-investigate the rare decay $B\to \varphi \pi$, which has been viewed as an ideal probe to detect the new physics signals beyond the SM. Contributions in the naive factorization method, the radiative corrections, the long-distance contributions, and the contributions due to the $\omega$-$\varphi$ mixing are taken into account. We find that the tiny branching ratio in the naive factorization can be dramatically enhanced by the radiative corrections and the $\omega$-$\varphi$ mixing effect, while the long-distance contributions are negligibly small. Assuming the Cabibbo-Kobayashi-Maskawa angle $\gamma =(58.6\pm 10{)}^{\circ }$ and the mixing angle $\theta =-(3.0\pm 1.0{)}^{\circ }$, we obtain the branching ratios of $B\to \varphi \pi$ as $\mathrm{Br}(B^{\pm }\to \varphi {\pi }^{\pm })=(3.2_{-0.7+1.8}^{+0.8-1.2})\times 10^{-8}$ and $\mathrm{Br}(B^0\to \varphi {\pi }^0)=(6.8_{-0.3+1.0}^{+0.3-0.7})\times 10^{-9}$. If the future experiment reports a branching ratio of order $10^{-7}$ for $B^{-}\to \varphi {\pi }^{-}$ decay, it may not be a clear signal for any new physics scenario. In order to discriminate the large new physics contributions and those due to the $\omega$-$\varphi$ mixing, we propose to measure the ratio of branching fractions of the charged and neutral B decay channel. We also study the direct CP asymmetries of these two channels, and the results are about $(-8.0_{-1.0-0.1}^{+0.9+1.5})$ and $(-6.3_{+0.7-2.5}^{-0.5+2.5})$ for $B^{\pm }\to \varphi {\pi }^{\pm }$ and $B^0\to \varphi {\pi }^0$, respectively.

11 pages, 5 figures

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• Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
• Updating B --> PP, VP decays in the framework of flavor symmetry
• ${\mathbf{B}}_{\mathbf{s}}\to {\mathbf{K}}^{(\ast )}\mathbf{\ell }\bar{\nu }$, Angular Analysis, S-wave Contributions and $|{\mathbf{V}}_{\mathbf{ub}}|$
• Charmless $B_{(s)}\to VV$ Decays in Factorization-Assisted Topological-Amplitude Approach
• Investigation of Effects of New Physics in $c\to (s,d){\ell }^{+}{\nu }_{\ell }$ Transitions
• Resonance contributions $\varphi (1020,1680)\to K\bar{K}$ for the three-body decays $B\to K\bar{K}h$
• Measurement of the charge asymmetry in $B^{\pm }\to \varphi K^{\pm }$ and search for $B^{\pm }\to \varphi {\pi }^{\pm }$ decays
• Search for B -> phi pi decays
• Study on pure annihilation type B to V gamma decays
• Perturbative QCD for B_s \to a_1(1260)(b_1(1235))P(V) Decays