Isospin Amplitude Analysis of $B\to \pi \pi$ Decays within the Standard Model

Abstract

Taking into account the recent measurements of the branching ratios and CP asymmetries in the $B\to \pi \pi$ decays by the BABAR and BELLE collaborations, an amplitude analysis based on the isospin symmetry is reported. These data allow to get an independent determination of the CKM unitarity-triangle angle $\gamma$. One of the best-fit solutions gives the range $\gamma =(65\pm 5{)}^{\circ }$, in excellent agreement with the global CKM fit within the Standard Model. The other parameters from this fit confirm the earlier analyses that the data on $B\to \pi \pi$ decays require various topological amplitudes (neglecting the electroweak ones) to be of comparable magnitude with large strong-phase differences.

arXiv comment4 pages, 2 figures, ws-procs10x7.cls used, contribution to the Proceedings of the 32nd International Conference on High Energy Physics (ICHEP'04), Beijing, China (16-22 August, 2004). Typos corrected

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