Abstract
The axial-vector form factors of ${K}_{l4}$ decay are calculated in the framework of current algebra and approximate chiral symmetry. They are obtained with the neglect of terms involving second and higher orders in both the symmetry breaking and the momenta of the $\ensuremath{\pi}$ and $K$ mesons. The Gell-Mann-Oakes-Renner model is used to evaluate matrix elements of the usual $\ensuremath{\sigma}$ commutators between pseudoscalar-meson states. The calculated form factors are then compared with the existing experimental data on these decays. First-order symmetry-breaking corrections to the $s$-wave $K\ensuremath{\pi}$ scattering lengths are also determined in our procedure, and the results are presented.
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