Calculating Phases Between B => K* pi Amplitudes

Details Calculating Phases Between B => K* pi Amplitudes Calculating Phases Between B => K* pi Amplitudes

2010-03-26

arxiv.org/abs/1003.5090v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 6 figures; slight revisions and clarifications

Scientific paper

A phase $\Delta \Phi$ between amplitudes for $B^0 \to K^{*0} \pi^0$ and $B^0 \to K^{*+} \pi^-$ plays a crucial role in a method for constraining Cabibbo-Kobayashi-Maskawa (CKM) parameters. We present a general argument for destructive interference between amplitudes for $B^0 \to K^{*+} \pi^-$ and $B^0 \to K^{*0} \pi^0$ forming together a smaller $I(K^* \pi) = 3/2$ amplitude. Applying flavor SU(3) and allowing for conservative theoretical uncertainties, we obtain lower limits on $|\Delta \Phi|$ and its charge-conjugate. Values of these two phases favored by the BaBar Collaboration are in good agreement with our bounds.

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