TY - JOUR
T1 - How isospin violation mocks "new" physics
T2 - π0-η,η′ mixing in B→ππ decays
AU - Gardner, S.
PY - 1999/4/1
Y1 - 1999/4/1
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevD.59.077502
DO - 10.1103/PhysRevD.59.077502
M3 - Article
AN - SCOPUS:16644379868
SN - 0556-2821
VL - 59
SP - 1
EP - 4
JO - Physical review D
JF - Physical review D
IS - 7
M1 - 077502
ER -