Chiral LECs from flavor-breaking inverse moment finite energy sum analyses of hadronic τ decay data

Using flavor-breaking chiral sum rules for the difference of flavor ud and us current-current two-point functions, with non-strange and strange hadronic τ decay data as input, we obtain accurate determinations of a number of SU(3) chiral NNLO low-energy constants. These results allow a significant improvement in the combined NNLO continuum-lattice determination of the NLO low-energy constant , producing a current world best determination of , and the first such NNLO determination having all NNLO effects under full control.