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

Journal Article · Mon Sep 01 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.057901· OSTI ID:21250781

Dominguez, C A ^[1]; Loewe, M ^[2]; Willers, B ^[1]

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1. Centre for Theoretical Physics and Astrophysics, University of Cape Town, Rondebosch 7700 (South Africa)
2. Facultad de Fisica, Pontificia Universidad, Catolica de Chile, Casilla 306, Santiago 22 (Chile)

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. Because of renormalizability, this determination involves no free parameters. The result is <r{sub {pi}}{sup 2}>{sub s}=0.40 fm{sup 2}. This value gives for l{sub 4}, the low energy constant of chiral perturbation theory, l{sub 4}=3.4, and F{sub {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) next-to-next-to-leading order contribution.

• OSTI ID: 21250781
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
COUPLING
MASS
MESONS
PARTICLE DECAY
PERTURBATION THEORY
PIONS
QUANTUM FIELD THEORY
RENORMALIZATION