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Please use this identifier to cite or link to this item: http://hdl.handle.net/10481/29034

Title: Determination of the Chiral Couplings L10 and C87 from Semileptonic τ Decays
Other Titles: Determination of the chiral couplings L-10 and C-87 from semileptonic tau decays
Authors: González-Alonso, Martín
Pich, Antonio
Prades, Joaquim
Issue Date: 2008
Abstract: Using recent precise hadronic tau-decay data on the V-A spectral function, and general properties of QCD such as analyticity, the operator product expansion and chiral perturbation theory, we get accurate values for the QCD chiral order parameters L_10^r(M_rho) and C_87^r(M_rho). These two low-energy constants appear at order p^4 and p^6, respectively, in the chiral perturbation theory expansion of the V-A correlator. At order p^4 we obtain L_10^r(M_rho) = -(5.22\pm 0.06)10^{-3}. Including in the analysis the two-loop (order p^6) contributions, we get L_10^r(M_rho) = -(4.06\pm 0.39)10^{-3} and C_87^r(M_rho) = (4.89\pm 0.19)10^{-3}GeV^{-2}. In the SU(2) chiral effective theory, the corresponding low-energy coupling takes the value \overline l_5 = 13.30 \pm 0.11 at order p^4, and \overline l_5 = 12.24 \pm 0.21 at order p^6.
Publisher: American Physical Society
Keywords: Strange quark mass
Low-energy constants
Perturbation theory
Spectral functions
QCD predictions
Hadronic width
URI: http://hdl.handle.net/10481/29034
ISSN: 1550-7998
Rights : Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License
Citation: González-Alonso, M.; Pich, A.; Prades, J. Determination of the Chiral Couplings L10 and C87 from Semileptonic τ Decays. Physical Review D, 78(11): 116012 (2008). [http://hdl.handle.net/10481/29034]
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