Supersymmetric contributions to $\bar{B}_s \to φπ^0$ and $\bar{B}_s \to φρ^0$ decays in SCET

Physics – High Energy Physics – High Energy Physics - Phenomenology

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10 pages, 6 figures

Scientific paper

Using Soft Collinear Effective Theory we analyze the supersymmetric contributions to the branching ratios of $ \bar{B}_s\to \phi \pi^0$ and $ \bar{B}_s\to \phi \rho^0 $ decays. Using mass insertion approximation we show that SUSY contributions mediated by chargino exchange can enhance the branching ratios with respect to the SM prediction. We show that in single mass insertion scenario, Br $(\bar{B}_s\to \phi \pi^0)$ can be enhanced by about 140% with respect to the SM prediction. In two mass insertion scenario we find that Br $(\bar{B}_s\to \phi \pi^0)$ can be enhanced by about 400% with respect to the SM prediction. For Br $(\bar{B}_s\to \phi \rho^0)$ we find that its SM prediction within SCEt is $4.6 \times 10^{-8}$. Including SUSY contribution, we show that in single mass insertion scenario Br $(\bar{B}_s\to \phi \rho^0)$ can be enhanced by about 130% with respect to the SM prediction. In two mass insertion scenario we find that Br $(\bar{B}_s\to \phi \pi^0)$ can be enhanced by about 160% with respect to the SM prediction.

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