Determining weak phase gamma and probing new physics in b->s transitions from B->eta(eta')K

Abstract

We present a method of determining weak phase \gamma in the Cabibbo-Kobayashi-Maskawa matrix from decays B->\eta K, \eta' K$ alone. Given a large ratio between color-suppressed and color-allowed tree diagrams extracted from global \pi\pi(K) fits, \gamma is determined from the current data of \eta' K and the result is in agreement with the global Standard Model(SM) fits. However, a smaller ratio from factorization based calculations gives $\gamma\sim 90^\circ$. New physics beyond the SM can be singled out if\gamma obtained in \eta^{(')} K modes is significantly different than the ones from other modes or other approaches. The effective value of \gamma from \eta' K is very sensitive to new physics contributions and can be used to extract new physics parameters for a class of models which do not give contributions to strong phases significantly.