Weak phases $γ$ and $α$ from $B^+$, or $B^0$ and $B_s$ decays

Details Weak phases $γ$ and $α$ from $B^+$, or $B^0$ and $B_s$ decays Weak phases $γ$ and $α$ from $B^+$, or $B^0$ and $B_s$ decays

1998-11-15

arxiv.org/abs/hep-ph/9811335v2

Phys.Lett. B449 (1999) 321-327

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages with 2 included eps figures; revised argument, taking into account the special shape of the amplitude quadrangle. An i

Scientific paper

10.1016/S0370-2693(99)00083-0

An improved flavor SU(3) method is presented for determining the weak angle $\gamma$ of the unitarity triangle using decay rates for $B^+\to K\pi, B^+\to K^+\bar K^0$ and $B^+\to \pi^+\eta$ (or $B^0\to K\pi$ and $B_s\to K \pi$), their CP-conjugate modes and the CP-averaged rate for $B^\pm\to\pi^\pm\pi^{0}$. Rescattering (color-suppressed) contribution in $B^+(B^0)\to K\pi$, for which an improved bound is obtained, is subtracted away. The only significant SU(3) breaking effects are accounted for in the factorization approximation of tree amplitudes. The weak angle $\alpha$ is obtained as a byproduct.

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