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Scalar interactions and the polarizations of $B\to ϕK^*$

Chuan-Hung Chen·Chao-Qiang Geng
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Abstract

We try to understand the polarization puzzle in $B\to ϕK^*$ decays with a simple Higgs model associated with flavor changing neutral current at tree level. The new interactions can effectively reduce the longitudinal polarization $|A_0|^2$. In particular, we find that if the couplings of $b$-quark in different chiralities to Higgs are the same, the transverse polarization $|A_\perp|^2$ can receive the largest contribution and its value can be as large as 30%. On the other hand, with opposite sign in the couplings, the other transverse polarization $|A_{\parallel}|^2$ is enhanced.

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Chuan-Hung Chen, Chao-Qiang Geng. 2005-05-25. Scalar interactions and the polarizations of $B\to ϕK^*$. https://doi.org/10.1103/physrevd.71.115004

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