Isospin breaking in Kπ vector form - factors for the weak and rare decays K l 3 , K → πνν and K → π l + l −

Abstract

We calculate the two form-factors for the four Kaon to pion transitions via a vector current to order p6 in Chiral Perturbation Theory to first order in isospin breaking via the quark masses. In addition we derive relations between these formfactors 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. PACS:11.30.Rd, 12.39.Fe, 12.15.Hh, 14.40.Aq. Electronic Address: bijnens@thep.lu.se Electronic Address: karim.ghorbani@thep.lu.se

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Cite this paper

@inproceedings{ll2007IsospinBI, title={Isospin breaking in Kπ vector form - factors for the weak and rare decays K l 3 , K → πνν and K → π l + l −}, author={→ πll and Johan Bijnens and Karim Ghorbani}, year={2007} }