K_{l 3} and π_{e 3} transition form factors

Abstract

$K_{\ell 3}$ and ${\pi }_{e3}$ transition form factors are calculated as an application of Dyson-Schwinger equations. The role of nonanalytic contributions to the quark--W-boson vertex is elucidated. A one-parameter model for this vertex provides a uniformly good description of these transitions, including the value of the scalar form factor of the kaon at the Callan-Treiman point. The $K_{\ell 3}$ form factors, $f_{\pm }^K$, are approximately linear on $t\in [m_e^2,m_{\mu }^2]$ and have approximately the same slope. $f_{-}^K(0)$ is a measure of the Euclidean constituent-quark mass ratio: $M_s^E/M_u^E$. In the isospin symmetric limit: $-f_{+}^{\pi }(0)=F_{\pi }(t)$, the electromagnetic pion form factor, and $f_{-}^{\pi }(t)\equiv 0$.

11 pages (incl. 3 figures), elsart.sty, epsf.sty

References in corpus (6)

• Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation
• Electromagnetic Form Factors of Charged and Neutral Kaons
• Exclusive diffractive processes and the quark substructure of mesons
• Pomeron exchange and exclusive electroproduction of rho-mesons in QCD
• Confinement, Diquarks and Goldstone's theorem
• Unified Description of Kaon Electroweak Form Factors

Cited by in corpus (17)

• Dyson-Schwinger equations: a tool for hadron physics
• Survey of heavy-meson observables
• Pseudovector components of the pion, pi^0 -> gamma gamma, and F_pi(q^2)
• Thermodynamic properties of a simple, confining model
• Electromagnetic form factors of light vector mesons
• Semileptonic decays of heavy mesons
• Meson-loop contributions to the rho-omega mass splitting & rho charge radius
• Features and flaws of a contact interaction treatment of the kaon
• Heavy- to light-meson transition form factors
• Describing a1 and b1 decays
• Kaon electroweak form factors in the light-front quark model
• K_{l3} transition form factors
• Neutron electric dipole moment: Constituent-dressing and compositeness
• Kaon semileptonic decay (K_{l3}) form factors from the instanton vacuum
• Chiral crossover transition from the Dyson-Schwinger equations in a sphere
• K -> pi pi and a light scalar meson
• Analysis of the vector form factors $f_{K\pi }^{+}(Q^2)$ and $f_{K\pi }^{-}(Q^2)$ with light-cone QCD sum rules