How Isospin Violation Mocks ``New'' Physics: $π^0-η,η'$ Mixing in $B\to ππ$ Decays

dc.creatorGardner, S.
dc.date1998-06-19
dc.date1998-10-29
dc.date.accessioned2026-07-07T11:35:29Z
dc.date.available2026-07-07T11:35:29Z
dc.descriptionAn isospin analysis of $B\toππ$ decays yields $\sin 2α$, where $α$ is the usual CKM angle $α\equiv arg [-V_{td}V_{tb}^\ast /(V_{ud}V_{ub}^\ast)]$, without hadronic uncertainty if isospin is a perfect symmetry. Isospin, however, is broken not only by electroweak effects but also by the u and d quark mass difference. The latter generates $π^0-η, η'$ mixing and converts the isospin-perfect triangle relation between the $B\toππ$ amplitudes to a quadrilateral. The combined isospin-violating effects impact the extracted value of $\sin 2α$ in a significant manner, particularly if the latter is small.
dc.description9 pages, 1 figure, REVTeX, epsfig; major revisions; num. error corrected
dc.identifierhttps://arxiv.org/abs/hep-ph/9806423
dc.identifierhttp://arxiv.org/abs/hep-ph/9806423
dc.identifierPhys.Rev.D59:077502,1999
dc.identifierdoi:10.1103/PhysRevD.59.077502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198611
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleHow Isospin Violation Mocks ``New'' Physics: $π^0-η,η'$ Mixing in $B\to ππ$ Decays
dc.typetext

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