dorsal/arxiv
View SchemaK_{l 3} and \pi_{e 3} transition form factors
| Authors | Yu. Kalinovsky, K. L. Mitchell, C. D. Roberts |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9610047 |
| URL | https://arxiv.org/abs/nucl-th/9610047 |
| DOI | 10.1016/S0370-2693(97)00271-2 |
| Journal | Phys.Lett.B399:22-28,1997 |
Abstract
$K_{\ell 3}$ and $\pi_{e 3}$ 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: $M^E_s/M^E_u$. In the isospin symmetric limit: $-f_+^\pi(0)= F_\pi(t)$, the electromagnetic pion form factor, and $f_-^\pi(t)\equiv 0$.
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"abstract": "$K_{\\ell 3}$ and $\\pi_{e 3}$ transition form factors are calculated as an\napplication of Dyson-Schwinger equations. The role of nonanalytic contributions\nto the quark--W-boson vertex is elucidated. A one-parameter model for this\nvertex provides a uniformly good description of these transitions, including\nthe value of the scalar form factor of the kaon at the Callan-Treiman point.\nThe $K_{\\ell 3}$ form factors, $f_\\pm^K$, are approximately linear on $t\\in\n[m_e^2,m_\\mu^2]$ and have approximately the same slope. $f_-^K(0)$ is a measure\nof the Euclidean constituent-quark mass ratio: $M^E_s/M^E_u$. In the isospin\nsymmetric limit: $-f_+^\\pi(0)= F_\\pi(t)$, the electromagnetic pion form factor,\nand $f_-^\\pi(t)\\equiv 0$.",
"arxiv_id": "nucl-th/9610047",
"authors": [
"Yu. Kalinovsky",
"K. L. Mitchell",
"C. D. Roberts"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/S0370-2693(97)00271-2",
"journal_ref": "Phys.Lett.B399:22-28,1997",
"title": "K_{l 3} and \\pi_{e 3} transition form factors",
"url": "https://arxiv.org/abs/nucl-th/9610047"
},
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