6533b835fe1ef96bd129f6b7

RESEARCH PRODUCT

Pion radiative weak decays in nonlocal chiral quark models

Santiago NogueraD. Gómez DummD. Gómez DummNorberto N. ScoccolaNorberto N. Scoccola

subject

QuarkNuclear and High Energy PhysicsParticle physicsWave function renormalizationHigh Energy Physics::LatticeFOS: Physical sciences01 natural sciencesPartícules (Física nuclear)RenormalizationPionHigh Energy Physics - Phenomenology (hep-ph)Nambu–Jona-Lasinio model0103 physical sciencesInvariant mass010306 general physicsPhysics010308 nuclear & particles physicsQuark modelHigh Energy Physics::PhenomenologyFísicaLattice QCDPion radiative weak decaysNonlocal quark modelsHigh Energy Physics - PhenomenologyFísica nuclearHigh Energy Physics::Experiment

description

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+ ��_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.

10.1016/j.physletb.2011.03.002http://arxiv.org/abs/1011.6403