Once more about the $ω\to 3π$ contact term

Details Once more about the $ω\to 3π$ contact term Once more about the $ω\to 3π$ contact term

1995-02-28

arxiv.org/abs/hep-ph/9502406v1

Phys.Atom.Nucl. 58 (1995) 1589-1596; Yad.Fiz. 58N9 (1995) 1687-1694

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, LaTex, without some figures. To appear in Yad. Fiz.

Scientific paper

The manifestations of the $\omega \to 3\pi$ contact term and its unitary partners are investigated in the framework of the chiral effective lagrangian theory with vector mesons. We conclude that nowadays the existence and magnitude of the contact term can be extracted neither from theory, nor experiment. The theoretical uncertainty is caused by the one-loop corrections. Some speculations about them lead to the generalized KSRF relation $\frac{f_\pi^2g^2_{\rho \pi \pi}}{m_\rho^2}=\frac{m_K}{2\sqrt{2} \pi f_\pi}$.

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