Low Energy Constants from Kl4 Form-Factors
G. Amor\'os (Lund U. & Helsinki U.), J. Bijnens, P. Talavera (Lund, U.)

TL;DR
This paper computes Kl4 decay form-factors to two-loop order in Chiral Perturbation Theory, updating the low-energy constants with improved precision and analyzing the uncertainties involved.
Contribution
It provides the first two-loop calculations of Kl4 form-factors and refines the values of ChPT low-energy constants at p^4 order.
Findings
Updated values for L's, the ChPT constants, are obtained.
Uncertainties in the low-energy constants are analyzed.
Comparison with previous estimates shows significant changes.
Abstract
We have calculated the form-factors F and G in K ---> pi pi e nu decays (Kl4) to two-loop order in Chiral Perturbation Theory (ChPT). Combining this together with earlier two-loop calculations an updated set of values for the L's, the ChPT constants at p^4, is obtained. We discuss the uncertainties in the determination and the changes compared to previous estimates.
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