Determining CP violation angle $\gamma$ with B decays into a scalar/tensor meson

Abstract

We propose a new way for determining the CP violation angle $\gamma$ without any hadronic uncertainty. The suggested method is to use the two triangles formed by the decay amplitudes of $B^{\pm }\to (D^0,{\bar{D}}^0,D_{CP}^0)K_{0(2)}^{\ast \pm }(1430)$. The advantages are that large CP asymmetries are expected in these processes and only singly Cabibbo-suppressed $D$ decay modes are involved. Measurements of the branching fractions of the neutral $B_d$ decays into $D{K}_{0(2)}^{\ast }(1430)$ and the time-dependent CP asymmetries in $B_s\to (D^0,{\bar{D}}^0)M$ ($M=f_0(980),f_0(1370),f_2^{\prime }(1525),f_1(1285),f_1(1420),h_1(1180))$ provide an alternative way to extract the angle $\gamma$, which will increase the statistical significance.

Comments: 5 pages, 2 figures, accepted for publication in Physical Review D as a Rapid Communication