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

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Author(s):
Boito, Diogo ; Francis, Anthony ; Golterman, Maarten ; Hudspith, Renwick ; Lewis, Randy ; Maltman, Kim ; Peris, Santiago
Total Authors: 7
Document type: Journal article
Source: Physical Review D; v. 92, n. 11, p. 11-pg., 2015-12-01.
Abstract

We determine the next-to-leading order chiral low-energy constant L-10(r), and combinations C-12(r) +/- C-61(r) + C-80(r), C-13(r) - C-62(r) + C-81(r), C-61(r), and C-87(r), 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 tau decay distributions and recently updated RBC/UKQCD lattice data for the nonstrange V - A two-point function. In the (MS) over bar scheme, at renormalization scale mu = 770 MeV, we find L-10(r) = -0.00350(17), C-12(r) + C-61(r) + C-80(r) = 0.00237(16) GeV-2, C-12(r) - C-61(r) + C-80(r) = -0.00056(15) GeV-2, C-13(r) - C-62(r) + C-81(r) = 0.00046(9) GeV-2, C-61(r) = 0.00146(15) GeV-2, and C-87(r) = 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. (AU)

FAPESP's process: 14/50683-0 - Accurate QCD parameter determination
Grantee:Diogo Rodrigues Boito
Support Opportunities: Scholarships in Brazil - Post-Doctoral