Analysis of $K^{+}\to e^{+}{\nu }_e\gamma$ in light-front quark model and chiral perturbation theory of order $p^6$

Abstract

Within the frameworks of the light-front quark model (LFQM) and chiral perturbation theory (ChPT) of $O(p^6)$, we reevaluate the form factors of the $K^{+}\to \gamma$ transition. We use these form factors to study the decay of $K^{+}\to e^{+}{\nu }_e\gamma$, which is dominated by the structure dependent contribution. We show the differential decay branching ratio as a function of $x=2E_{\gamma }/m_K$, where $E_{\gamma }$ ($m_K$) is the photon energy (kaon mass). Explicitly, we find that, in the standard model with the cut of $x=0.01$ (0.1), the decay branching ratio of $K^{+}\to e^{+}{\nu }_e\gamma$ is $1.54(1.44)\times 10^{-5}$ and $1.57(1.47)\times 10^{-5}$ in the LFQM and ChPT, respectively.

arXiv comment15 pages, 4 figures, final version to be published in PRD

References in corpus (16)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• 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
• 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
• Radiative Leptonic B Decays in the Light Front Model
• Semileptonic $\pi$ and $K$ Decays and the Chiral Anomaly at One-loop
• Measurement of Structure Dependent K^+ -> mu^+ nu gamma
• Study of Radiative Leptonic D Meson Decays
• T Violating Muon Polarization in $K^{+}\to {\mu }^{+}\nu \gamma$
• Analysis of Transverse Muon Polarization in $K^{+}\to {\pi }^0{\mu }^{+}\nu$ and $K^{+}\to {\mu }^{+}\nu \gamma$ Decays with Tensor Interactions
• $K_L\to \gamma \nu \bar{\nu }$ in the Light Front Model

Cited by in corpus (9)

• Precise measurement of B(K\to eν(γ))/B(K\to μν(γ)) and study of K\to eνγ
• Test of Lepton Flavour Universality in K+ --> l+nu Decays
• ${\pi }^0\to {\gamma }^{\ast }\gamma$ transition form factor within Light Front Quark Model
• Extraction of Kaon Formfactors from K^- -> mu^- nu_mu gamma Decay at ISTRA+ Setup
• Study of ${\pi }^0$ and $\eta$ decays containing dilepton
• Form factors of ${\eta }_c$ in light front quark model
• Study of the Radivative Pion Decay
• Decay Spectrum of $K^{+}\to e^{+}{\nu }_e\gamma$
• Vector and Axial-vector form factors in radiative kaon decay and flavor SU(3) symmetry breaking