The Kroll-Lee-Zumino Model and Pion Form Factors

Journal Article · Wed Aug 04 04:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3480178· OSTI ID:21410806

Dominguez, C A ^[1]; Loewe, M ^[2]

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1. Centre for Theoretical Physics and Astrophysics, University of Cape Town, Rondebosch 7700 (South Africa) and Department of Physics, Stellenbosch University, Stellenbosch 7600 (South Africa)
2. Facultad de Fisica, Pontificia Universidad Catolica de Chile, Casilla 306, Santiago 22 (Chile)

At the one loop level, we make use of the renormalizable Abelian quantum field theory model of Kroll, Lee, and Zumino (KLZ) in order to compute the vertex corrections to the tree-level, Vector Meson Dominance (VMD) electromagnetic pion form factor. This result, together with the one-loop vacuum polarization contribution, implies an electromagnetic pion form factor which is in outstanding agreement with data in the whole range of accessible momentum transfers in the space-like region. The time-like form factor, which reproduces the Gounaris-Sakurai formula at and near the rho-meson peak, remains unaffected by the vertex correction at order O(g{sup 2}). We also use the KLZ model to compute the pion scalar radius at the one loop level, finding <r{sub {pi}}{sup 2}>S = 0.40 fm{sup 2}. From this value we find for the low energy constant of chiral perturbation theory l{sub 4} = 3.4.

• OSTI ID: 21410806
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1265; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRALITY
CORRECTIONS
DIMENSIONLESS NUMBERS
ELECTROMAGNETIC FORM FACTORS
ELEMENTARY PARTICLES
FIELD THEORIES
FORM FACTORS
HADRONS
MESONS
MOMENTUM TRANSFER
PARTICLE PROPERTIES
PEAKS
PERTURBATION THEORY
PIONS
POLARIZATION
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
VACUUM POLARIZATION