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Isospin-breaking effects on alpha extracted in B --> pi pi, rho rho, rho pi

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arxiv hep-ph/0502139 v4 pith:GWL54GHR submitted 2005-02-15 hep-ph

Isospin-breaking effects on alpha extracted in B --> pi pi, rho rho, rho pi

classification hep-ph
keywords alphaeffectisospin-breakingmixingcauseddegreeeta-etamodel-independent
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Isospin-breaking in B --> pi pi caused by pi^0-eta-eta' mixing is studied in a model-independent way using flavor SU(3). Measured branching ratios for B^+ --> pi^+ pi^0, B^+ --> pi^+ eta^(') and B^0 --> pi^0 eta^(') imply an uncertainty in alpha smaller than 1.4 degree. We find a negligible effect of pi^0-eta-eta' mixing on alpha in B --> rho pi. Characterizing the effect of rho^0-omega mixing in B --> rho rho and in B --> rho pi by the two-pion invariant mass dependence, we point out a way of constraining this effect experimentally or eliminating it altogether. We show that a model-independent shift in alpha caused by electroweak penguin amplitudes in B --> pi pi and B --> rho rho, \Delta alpha_{EWP}=1.5+- 0.3 degree, may be slightly different in B --> rho pi. Other sources of isospin-breaking in these processes are briefly discussed.

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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.