Scalar radius of the pion in the Kroll-Lee-Zumino renormalizable theory

Details Scalar radius of the pion in the Kroll-Lee-Zumino renormalizable theory Scalar radius of the pion in the Kroll-Lee-Zumino renormalizable theory

2008-08-06

arxiv.org/abs/0808.0823v1

Phys.Rev.D78:057901,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1103/PhysRevD.78.057901

The Kroll-Lee-Zumino renormalizable Abelian quantum field theory of pions and a massive rho-meson is used to calculate the scalar radius of the pion at next to leading (one loop) order in perturbation theory. Due to renormalizability, this determination involves no free parameters. The result is $_s = 0.40 {fm}^2$. This value gives for $\bar{\ell}_4$, the low energy constant of chiral perturbation theory, $\bar{\ell}_4 = 3.4$, and $F_\pi/F = 1.05$, where F is the pion decay constant in the chiral limit. Given the level of accuracy in the masses and the $\rho\pi\pi$ coupling, the only sizable uncertainty in this result is due to the (uncalculated) NNLO contribution.

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