Model-independent Constraints on the Weak Phase $α$ (or $φ_2$) and QCD Penguin Pollution in $B \to ππ$ Decays

Details Model-independent Constraints on the Weak Phase $α$ (or $φ_2$) and QCD Penguin Pollution in $B \to ππ$ Decays Model-independent Constraints on the Weak Phase $α$ (or $φ_2$) and QCD Penguin Pollution in $B \to ππ$ Decays

2005-01-04

arxiv.org/abs/hep-ph/0501016v1

Phys.Rev. D71 (2005) 051302

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 3 figures, 2 tables

Scientific paper

10.1103/PhysRevD.71.051302

We present an {\it algebraic} isospin approach towards a more straightforward and model-independent determination of the weak phase $\alpha$ (or $\phi_2$) and QCD penguin pollution in $B\to \pi\pi$ decays. The world averages of current experimental data allow us to impose some useful constraints on the isospin parameters of $B\to \pi\pi$ transitions. We find that the magnitude of $\alpha$ (or $\phi_2$) extracted from the indirect CP violation in $\pi^+\pi^-$ mode is in agreement with the standard-model expectation from other indirect measurements, but its four-fold discrete ambiguity has to be resolved in the near future.

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