Towards a Precision Determination of alpha in B \to pi pi Decays

Details Towards a Precision Determination of alpha in B \to pi pi Decays Towards a Precision Determination of alpha in B \to pi pi Decays

2005-05-10

arxiv.org/abs/hep-ph/0505071v2

Phys.Rev. D72 (2005) 034015

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, REVTeX, 1 eps figure; some results altered, conclusions unchanged

Scientific paper

10.1103/PhysRevD.72.034015

An assumption of isospin symmetry permits the determination of sin(2 alpha) from the experimental study of B\to pi pi decays. Isospin, however, is merely an approximate symmetry; its breaking predicates a theoretical systematical error sigma_\alpha^{\rm IB} in the extraction of alpha. We focus on the impact of \pi^0-\eta,\eta^\prime mixing, as well as the manner in which it is amenable to empirical constraint, and determine that \sigma_\alpha^{\rm IB} can potentially be controlled to {\cal O}(1^\circ).

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