Form factors of radiative pion decays in nonlocal chiral quark models

Abstract

We study the radiative pion decay pi+ -> e+ nu_e gamma within nonlocal chiral quark models that include wave function renormalization. In this framework we analyze the momentum dependence of the vector form factor F_V(q^2), and the slope of the axial-vector form factor F_A(q^2) at threshold. Our results are compared with available experimental information and with the predictions given by the NJL model. In addition we calculate the low energy constants l_5 and l_6, comparing our results with the values obtained in chiral perturbation theory.

22 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1011.6403

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• Properties of magnetized neutral pions at zero and finite temperature in nonlocal chiral quark models
• Generalized Ginzburg-Landau approach to inhomogeneous phases in nonlocal chiral quark models
• Vector and Axial-vector form factors in radiative kaon decay and flavor SU(3) symmetry breaking
• Pion radiative weak decay from the instanton vacuum