Low-energy constants and condensates from ALEPH hadronic τ decay data

Diogo Boito, Anthony Francis, Maarten Golterman, Renwick Hudspith, Randy Lewis, Kim Maltman, Santiago Peris

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15 Citations (Scopus)


© 2015 American Physical Society. We determine the next-to-leading order chiral low-energy constant L10r, and combinations C12r±C61r+C80r, C13r-C62r+C81r, C61r, and C87r, of the next-to-next-to-leading order (NNLO) chiral low-energy constants incorporating recently revised ALEPH results for the nonstrange vector (V) and axial-vector (A) hadronic τ decay distributions and recently updated RBC/UKQCD lattice data for the nonstrange V-A two-point function. In the MS¯ scheme, at renormalization scale μ=770 MeV, we find L10r=-0.00350(17), C12r+C61r+C80r=0.00237(16) GeV-2, C12r-C61r+C80r=-0.00056(15) GeV-2, C13r-C62r+C81r=0.00046(9) GeV-2, C61r=0.00146(15) GeV-2, and C87r=0.00510(22) GeV-2. With errors here at or below the level expected for contributions of yet higher order in the chiral expansion, the analysis exhausts the possibilities of what can be meaningfully achieved in an NNLO analysis. We also consider the dimension-six and dimension-eight coefficients in the operator product expansion in the V-A channel.
Original languageEnglish
Article number114501
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number11
Publication statusPublished - 1 Dec 2015


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