Isospin breaking in $Kπ$ vector form-factors for the weak and rare decays $K_{\ell3}$, $K\toπν\barν$ and $K\toπ\ell^+\ell^-$

Johan Bijnens; Karim Ghorbani

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arXiv · 0711.0148

Isospin breaking in $Kπ$ vector form-factors for the weak and rare decays $K_{\ell3}$, $K\toπν\barν$ and $K\toπ\ell^+\ell^-$

Johan Bijnens·Karim Ghorbani

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Abstract

We calculate the two form-factors for the four Kaon to pion transitions via a vector current to order $p^6$ in Chiral Perturbation Theory to first order in isospin breaking via the quark masses. In addition we derive relations between these form-factors valid to first order in the up-down quark-mass difference but to all orders in Chiral Perturbation Theory. We present numerical results for all eight form-factors at $t=0$ and for varying $t$ and for the scalar form-factors at the Callan-Treiman point.

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Johan Bijnens, Karim Ghorbani. 2007-11-01. Isospin breaking in $Kπ$ vector form-factors for the weak and rare decays $K_{\ell3}$, $K\toπν\barν$ and $K\toπ\ell^+\ell^-$. https://arxiv.org/abs/0711.0148

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