S. Gardner, How isospin violation mocks "new" physics: pi(0)-eta,eta ' mixing in B ->pi pi decays - art. no. 077502, PHYS REV D, 5907(7), 1999, pp. 7502
An isospin analysis of B --> pi pi decays yields sin 2 alpha, where alpha=a
rg[-VtdVtb*/(VudVub*)] and V-ij is a CKM matrix element, without hadronic u
ncertainty if isospin is a perfect symmetry. Isospin, however, is broken no
t only by electroweak effects but also by the u and d quark mass difference
. The latter drives pi(0)-eta,eta' mixing and converts the isospin-perfect
triangle relation between the B --> pi pi amplitudes to a quadrilateral. Th
e combined isospin-violating effects impact the extracted value of sin 2 al
pha in a significant manner, particularly if the latter is small. [S0556-28
21(99)05505-8].