Convention-independent study of CP-violating asymmetries in $B \to π π$

Details Convention-independent study of CP-violating asymmetries in $B \to π π$ Convention-independent study of CP-violating asymmetries in $B \to π π$

2002-05-29

arxiv.org/abs/hep-ph/0205323v3

Phys.Rev. D66 (2002) 053003; Erratum-ibid. D66 (2002) 119901

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, LaTeX, 2 figures, revised version submitted to Phys. Rev. D. Further references and text added

Scientific paper

10.1103/PhysRevD.66.053003

CP-violating asymmetries in the decay $B^0(t)\to \pi^+ \pi^-$ are a potentially rich source of information about both strong and weak phases. In a previous treatment by the present authors use was made of an assumption about the relative magnitude of tree and penguin amplitudes contributing to this process. This assumption involved an ambiguity in relating the tree amplitude to the amplitude for $B \to \pi \ell \nu$. It is shown here that one can avoid this assumption, which adopted a particular convention for tree and penguin amplitudes, and that the results are convention-independent.

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