A Critical Look at Rescattering Effects on $γ$ from $B^+\to Kπ$

Details A Critical Look at Rescattering Effects on $γ$ from $B^+\to Kπ$ A Critical Look at Rescattering Effects on $γ$ from $B^+\to Kπ$

1999-02-26

arxiv.org/abs/hep-ph/9902482v1

Phys.Rev.D61:013005,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages with 6 figures

Scientific paper

10.1103/PhysRevD.61.013005

Three ways are compared of dealing with rescattering effects in $B^{\pm}\to K^0\pi^{\pm}$, in order to determine the weak phase $\gamma$ from these processes and $B^{\pm}\to K^{\pm}\pi^0$. We find that neglecting these contributions altogether may involve sizable errors in $\gamma$, depending on the rescattering amplitude and on the value of a certain measurable strong phase. We show that an attempt to eliminate these effects by using the charge-averaged rate of $B^{\pm}\to K^{\pm}K^0$ suffers from a large theoretical error due to SU(3) breaking, which may be resolved when using also the processes $B^{\pm}\to \pi^{\pm}\eta_8$.

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