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

TL;DR

The paper introduces a novel method to determine the CP violation angle gamma using B decays into scalar and tensor mesons, avoiding hadronic uncertainties and leveraging amplitude triangle constructions.

Contribution

It proposes a new, hadronic-uncertainty-free approach to measure gamma through B decay amplitude triangles involving scalar/tensor mesons and specific decay modes.

Findings

Large CP asymmetries expected in these processes

Method involves only singly Cabibbo-suppressed D decays

Alternative measurements can improve statistical significance

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 $B^\pm\to (D^0,\bar D^0,D_{CP}^0) K^{*\pm}_{0(2)}(1430)$. 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 $DK^{*}_{0(2)}(1430)$ and the time-dependent CP asymmetries in $B_s\to (D^0, \bar D^0) M$ ($M=f_0(980),f_0(1370), f_2'(1525), f_1(1285), f_1(1420), h_1(1180))$ provide an alternative way to extract the angle $\gamma$, which will increase the statistical significance.