Pion radiative weak decays in nonlocal chiral quark models
Abstract
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.
Cite
@article{arxiv.1011.6403,
title = {Pion radiative weak decays in nonlocal chiral quark models},
author = {D. Gomez Dumm and S. Noguera and N. N. Scoccola},
journal= {arXiv preprint arXiv:1011.6403},
year = {2011}
}
Comments
14 pages, 1 figure, minor changes in text introduced