An isospin analysis of B→ππ decays yields sin 2α, where α≡arg[-VtdVtb*/(VudV ub*)] and Vij is a CKM matrix element, 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 drives π0-η,η′ mixing and converts the isospin-perfect triangle relation between the B→ππ 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.
|Number of pages||4|
|Journal||Physical review D|
|State||Published - Apr 1 1999|
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)