High Energy Physics - Phenomenology
[Submitted on 23 Jun 2005 (v1), last revised 31 Oct 2005 (this version, v3)]
Title:Testing the dynamics of B -> ππand constraints on α
View PDFAbstract: In charmless nonleptonic B decays to \pi\pi or \rho\rho, the "color allowed" and "color suppressed" tree amplitudes can be studied in a systematic expansion in \alphas(mb) and \Lambda/mb. At leading order in this expansion their relative strong phase vanishes. The implications of this prediction are obscured by penguin contributions. We propose to use this prediction to test the relative importance of the various penguin amplitudes using experimental data. The present B->\pi\pi data suggest that there are large corrections to the heavy quark limit, which can be due to power corrections to the tree amplitudes, large up-quark penguin amplitude, or enhanced weak annihilation. Because the penguin contributions are smaller, the heavy quark limit is more consistent with the B->\rho\rho data, and its implications may become important for the extraction of \alpha from this mode in the future.
Submission history
From: Dan Pirjol [view email][v1] Thu, 23 Jun 2005 12:16:08 UTC (218 KB)
[v2] Mon, 11 Jul 2005 17:46:23 UTC (219 KB)
[v3] Mon, 31 Oct 2005 19:48:09 UTC (219 KB)
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