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Published April 1, 2005 | public
Journal Article Open

The <SPP> Green function and SU(3) breaking in Kl3 decays

Abstract

Using the 1=/N-C expansion scheme and truncating the hadronic spectrum to the lowest-lying resonances, we match a meromorphic approximation to the < SPP > 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(+)(K0 pi-) (0) = 0.984 +/- 0.012 for the extraction of V-us from K-l3 decays.

Additional Information

© SISSA 2005. Received 14 March 2005, accepted for publication 8 April 2005. Published 27 April 2005. V.C., A.P. and J.P. thank Maarten Golterman and Santi Peris for hospitality at the Benasque Workshop Matching Light Quarks to Hadrons, where an early part of this work was carried out. We also thank Hans Bijnens, Jurg Gasser and Helmut Neufeld for useful information and discussions. V.C. is supported by a Sherman Fairchild Fellowship from Caltech. M.E. thanks the FAPESP (Brazil) for financial support. This work has been supported in part by MCYT (Spain) under Grant FPA2004-00996, by Generalitat Valenciana (Grants GRUPOS03/013 and GV04B-594) and by ERDF funds from the European Commission.

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August 22, 2023
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