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We study the decay modes $\bar{B}_s\to \phi \pi^0$ and $\bar{B}_s\to \phi\rho^0$ using Soft Collinear Effective Theory. Within Standard Model andincluding the error due to the SU(3) breaking effect in the SCET parameters wefind that BR $\bar{B}_s\to \phi \pi^0 =7_{-1-2}^{+1+2}\times 10^{-8} $ and BR$\bar{B}_s\to \phi \pi^0=9_{-1-4}^{+1+3}\times 10^{-8}$ corresponding tosolution 1 and solution 2 of the SCET parameters respectively.For the decaymode $\bar{B}_s\to \phi \rho^0$, we find that BR $\bar{B}_s\to \phi \rho^0 =20.2^{+1+9}_{-1-12}\times 10^{-8} $ and BR $ \bar{B}_s\to \phi \rho^0 =34.0^{+1.5 + 15}_{-1.5-22}\times 10^{-8} $ corresponding to solution 1 andsolution 2 of the SCET parameters respectively. We extend our study to includesupersymmetric models with non-universal A-terms where the dominantcontributions arise from diagrams mediated by gluino and chargino exchanges. Weshow that gluino contributions can not lead to an enhancement of the branchingratios of $\bar{B}_s\to \phi \pi^0$ and $\bar{B}_s\to \phi \rho^0$. Inaddition, we show that SUSY contributions mediated by chargino exchange canenhance the branching ratio of $\bar{B}_s\to \phi \pi^0$ by about 14% withrespect to the SM prediction. For the branching ratio of $\bar{B}_s\to \phi\rho^0$, we find that SUSY contributions can enhance its value by about 1% withrespect to the SM prediction.

Supersymmetric contributions to $\bar{B}_s \to \phi \pi^0$ and $\bar{B}_s \to \phi \rho^0$ decays in SCET