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arxiv: 1011.6403 · v2 · pith:3RYYJMZ7new · submitted 2010-11-29 · ✦ hep-ph

Pion radiative weak decays in nonlocal chiral quark models

classification ✦ hep-ph
keywords formgammanonlocalchiraldecaysfactorsmodelspion
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We analyze the radiative pion decay pi+ -> e+ nu_e gamma within nonlocal chiral quark models that include wave function renormalization. In this framework we calculate the vector and axial-vector form factors FV and FA at q^2=0 --where q^2 is the (e+ \nu_e) squared invariant mass-- and the slope a of FV(q^2) at q^2 -> 0. The calculations are carried out considering different nonlocal form factors, in particular those taken from lattice QCD evaluations, showing a reasonable agreement with the corresponding experimental data. The comparison of our results with those obtained in the (local) NJL model and the relation of FV and a with the form factor in pi^0 -> gamma* gamma decays are discussed.

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