Isospin Violation in $\mathbf{B}\to \pi \pi$ Decays

S. Gardner

An isospin analysis of $B\to \pi \pi$ decays yields $\sin 2\alpha$, where $\alpha$ is the usual CKM angle $\alpha \equiv \arg [-V_{td}{V}_{tb}^{\ast }/(V_{ud}{V}_{ub}^{\ast })]$ without hadronic uncertaint…