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

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arxiv hep-ph/0505071 v2 pith:2KIFOZ2V submitted 2005-05-10 hep-ph hep-exnucl-th

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

classification hep-ph hep-exnucl-th
keywords alphadecaysdeterminationisospinsigmasymmetryamenableapproximate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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  1. CP asymmetries in charged meson decay to two pions

    hep-ph 2026-05 unverdicted novelty 4.0

    CP asymmetries for B+ to pi+ pi0, D+ to pi+ pi0, and K+ to pi+ pi0 are estimated in the Standard Model at roughly 3 times 10 to the -3, 10 to the -5, and 10 to the -6 using a unified formalism for isospin violation.