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Determination of the chiral couplings L-10 and C-87 from semileptonic tau decays

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Determination of the chiral couplings L-10 and C-87 from semileptonic tau decays

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González Alonso, Martín; Pich Zardoya, Antonio; Prades Hernández, Joaquim

Aquest document és un/a article, creat/da en: 2008

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 +/- 0.06) x 10(-3). Including in the analysis the two-loop (order p6) contributions, we get L-10(r)(M-rho) = -(4.06 +/- 0.39) x 10(-3) and C-87(r)(M-rho) (4.89 +/- 0.19) x 10(-3) GeV-2. In the SU(2) chiral effective theory, the corresponding low-energy coupling takes the value (l) over bar (5) 13.30 +/- 0.11 at order p(4), and (l) over bar (5) 12.24 +/- 0.21 at order p(6).

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