  Using spectral data from non-strange and strange hadronic tau decays,
flavor-breaking chiral sum rules involving the flavor ud and us current-current
two-point functions are constructed and used to determine the SU(3) NNLO
low-energy constant combinations C_{61}^r, C_{12}^r+C_{61}^r+C_{80}^r and
C_{12}^r-C_{61}^r+C_{80}^r. The first of these determinations updates the
results of an earlier analysis by Durr and Kambor, while the latter two are
new. The error on the C_{12}^r+C_{61}^r+C_{80}^r is particularly small.
Comparisons are made to model estimates for these quantities. The role of the
third combination in significantly improving the determination of the NLO
low-energy constant L_{10}^r from NNLO analyses of the flavor ud V-A correlator
is also highlighted.
