Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-03-11
JHEP 0504:006,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, published version: results and conclusions unchanged
Scientific paper
10.1088/1126-6708/2005/04/006
Using the 1/N_C expansion scheme and truncating the hadronic spectrum to the lowest-lying resonances, we match a meromorphic approximation to the < S P P > Green function onto QCD by imposing the correct large-momentum falloff, both off-shell and on the relevant hadron mass shells. In this way we determine a number of chiral low-energy constants of O(p^6), in particular the ones governing SU(3) breaking in the K_{l3} vector form factor at zero momentum transfer. The main result of our matching procedure is that the known loop contributions largely dominate the corrections of O(p^6) to f_{+}(0). We discuss the implications of our final value f_{+}^{K^0 \pi^-}(0)=0.984 \pm 0.012 for the extraction of V_{us} from K_{l3} decays.
Cirigliano Vincenzo
Ecker Gerhard
Eidemuller Markus
Kaiser Robert
Pich Antonio
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