Pion radiative weak decays in nonlocal chiral quark models

2010/11/30 by D. Gómez Dumm, D. Gomez Dumm, S. Noguera +1 · 1 citation
Physics and Astronomy · #Form factor (electronics) #High-Energy Particle Collisions Research #Invariant (physics) #Lattice (music) #Lattice QCD #Mathematical physics #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Quark model #Quarkonium #Radiative transfer #Renormalization #hep-ph

paper · pdf · doi:10.1016/j.physletb.2011.03.002

published as Phys.Lett.B698:236-242,2011 · 14 pages, 1 figure, minor changes in text introduced

arxiv created 2011/02/21 · openalex publication_date 2011/03/16 · arxiv updated 2011/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 q²=0 --where q² is the (e+ ν_e) squared invariant mass-- and the slope a of FV(q²) at q² -> 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 pi⁰ -> gamma* gamma decays are discussed.

Citations

• Light pseudoscalar mesons in a nonlocalSU(3)chiral quark model
• Unquenched Kogut-Susskind quark propagator in lattice Landau gauge QCD
• Dyson-Schwinger equations and their application to hadronic physics
• The nuclear matter stability in a non-local chiral quark model
• Instantons in QCD
• Form factors in the radiative pion decay
• Scaling behavior of the quark propagator in full QCD
• Review of Particle Physics
• Modelling the quark propagator
• Axial-vector form factors for K2 and π2 at O(p6) in chiral perturbation theory

Cited by

• Form factors of radiative pion decays in nonlocal chiral quark models