Study of the Radivative Pion Decay

Abstract

We study the radiative pion decay of ${\pi }^{+}\to e^{+}{\nu }_e\gamma$ in the chiral perturbation theory (ChPT) and light front quark model (LFQM). The vector and axial-vector hadronic form factors ($F_{V,A}$) for the $\pi \to \gamma$ transition are evaluated in the whole allowed momentum transfer. In terms of these momentum dependent form factors, we calculate the decay branching ratio and compare our results with the experimental data and other theoretical predictions in the literature. We also constrain the possible size of the tensor interaction in the LFQM.

arXiv comment15 pages, 4 figures, 4 tables, Version accepted by PRD

References in corpus (24)

• Nonperturbative Light-Front QCD
• Resonance estimates of O(p^6) low-energy constants and QCD short-distance constraints
• Radiative Semileptonic Kaon Decays
• QCD Isospin Breaking in Meson Masses, Decay Constants and Quark Mass Ratios
• Chiral Perturbation Theory Beyond One Loop
• Form Factors in the radiative pion decay
• New Precise Measurement of the Pion Weak Form Factors in the Pi+ -> e+ nu gamma Decay
• Precise Measurement of the Pion Axial Form Factor in the Pi+ -> e+ nu gamma Decay
• Study of $B_{s,d}\to l^{+}{l}^{-}\gamma$ Decays
• Axial-vector Form Factors for $K_{\ell 2\gamma }$ and ${\pi }_{\ell 2\gamma }$ at $O(p^6)$ in Chiral Perturbation Theory
• On the Radiative Pion Decay
• Radiative Leptonic B Decays in the Light Front Model
• New Tensor Particles from pi -> e nu gamma and K -> pi e nu Decays
• Semileptonic $\pi$ and $K$ Decays and the Chiral Anomaly at One-loop
• Study of Radiative Leptonic D Meson Decays
• Study of $B\to K_0^{\ast }(1430)\ell \bar{\ell }$ Decays
• T Violating Muon Polarization in $K^{+}\to {\mu }^{+}\nu \gamma$
• A Weak-Coupling Treatment of Nonperturbative QCD Dynamics to Heavy Hadrons
• Mesonic Tensor Form Factors with Light Front Quark Model
• Analysis of Transverse Muon Polarization in $K^{+}\to {\pi }^0{\mu }^{+}\nu$ and $K^{+}\to {\mu }^{+}\nu \gamma$ Decays with Tensor Interactions
• On the analysis of the pi -> e nu gamma experimental data
• Analysis of $K^{+}\to e^{+}{\nu }_e\gamma$ in light-front quark model and chiral perturbation theory of order $p^6$
• $K_L\to \gamma \nu \bar{\nu }$ in the Light Front Model
• Decay Spectrum of $K^{+}\to e^{+}{\nu }_e\gamma$

Cited by in corpus (7)

• The weak radiative pion vertex in τ^- ->π^-ν_τl^+ l^- decays
• ${\pi }^0\to {\gamma }^{\ast }\gamma$ transition form factor within Light Front Quark Model
• Form factors of ${\eta }_c$ in light front quark model
• Pion radiative weak decay from the instanton vacuum
• Exclusive production of pseudoscalar mesons in neutrino-photon interactions
• Neutrino photoproduction on pseudo Nambu-Goldstone bosons
• Particle decays in the presence of a neutrino background