Electroweak Model Independent Tests for SU(3) Symmetry in Hadronic B Decays

Abstract

We study effects of new physics beyond the Standard Model on SU(3) symmetry in charmless hadronic two body B decays. It is found that several equalities for some of the decay amplitudes, such as $A(B_d(B_u)\to {\pi }^{+}{\pi }^{-},{\pi }^{+}{K}^{-}({\pi }^{-}{\bar{K}}^0))=A(B_s\to K^{+}{\pi }^{-},K^{-}{K}^{+}(K^0{\bar{K}}^0))$, $A(B_d\to {\pi }^{+}{\rho }^{-},{\pi }^{-}{\rho }^{+},K^{-}{\rho }^{+},{\pi }^{+}{K}^{\ast -})=A(B_s\to K^{+}{\rho }^{-},{\pi }^{-}{K}^{\ast +},K^{-}{K}^{\ast +},K^{+}{K}^{\ast -})$, $A(B_d(B_u)\to {\rho }^{+}{\rho }^{-},{\rho }^{+}{K}^{\ast -}({\rho }^{-}{\bar{K}}^{\ast 0}))=A(B_s\to K^{\ast +}{\rho }^{-},K^{\ast -}{K}^{\ast +}(K^{\ast 0}{\bar{K}}^{\ast 0}))$, predicted by SU(3) symmetry in the SM are not affected by new physics. These relations provide important electroweak model independent tests for SU(3) symmetry in B decays.

4 pages, revtex