B decays into a scalar/tensor meson in pursuit of determining the CKM angle $\gamma$

Abstract

In this work, I suggest a new way for determining the CKM angle $\gamma$ via B decays into a scalar/tensor meson without any hadronic uncertainty. The proposed idea makes profits of the two triangles formed by the $B^{\pm }\to (D^0,{\bar{D}}^0,D_{CP}^0)K_{0(2)}^{\ast \pm }(1430)$ decay amplitudes. The advantages in it are large CP asymmetries and the avoidance of the use of doubly Cabibbo-suppressed D decays. Branching ratios of $B^{\pm }\to (D^0,{\bar{D}}^0,D_{CP}^0)K_{0(2)}^{\ast \pm }(1430)$ are estimated to have the order $10^{-6}-10^{-5}$ and therefore measurable by the ongoing LHCb experiment and future experimental facilities. The usefulness of other related channels, for instance the neutral $B_d$ decays into $D{K}_{0(2)}^{\ast }(1430)$ and $B_s\to (D^0,{\bar{D}}^0)M$ ($M=f_0(980),f_0(1370),f_2^{\prime }(1525),f_1(1285),f_1(1420),h_1(1180))$, the $B\to D^{\mp }{a}_{0,2}^{\pm }$ for the extraction of $\gamma +2\beta$ and the $B_s\to D^{\mp }{K}_{0,2}^{\ast \pm }$ to access $\gamma +2{\beta }_s$, is also discussed in brevity.

Comments: 4 pages, To appear in the proceedings of the FPCP 2012 conference, USTC Hefei, China and QCD@Work - International Workshop on QCD - Theory and Experiment, 18-21 June 2012; v2 useful references added