arXiv:hep-ph/0211437v1 27 Nov 2002 hep-ph/0211437 One-Loop Electroweak Corrections to the Muon Anomalous Magnetic Moment Using the Pinch Technique L. G. Cabral-Rosetti a,1 , G. L´ opez Castro b,2 and J.Pestieau c,3 a Instituto de Ciencias Nucleares, Universidad Nacional Aut´ onoma de M´ exico, Circuito Exterior C.U., A.P. 70-543, 04510 M´ exico D.F. M´ exico b Departamento de F´ ısica, Centro de Investigaci´ on y de Estudios Avanzados del IPN, Apartado Postal 14-740, 07000 M´ exico D.F. M´ exico c Institut de Physique Th´ eorique, Universit´ e catholique de Louvain, B-1348 Louvain-La-Neuve, Belgium Abstract The definition of the physical properties of particles in perturbative gauge theories must satisfy gauge invariance as a requisite. The Pinch Technique provides a framework to define the electromagnetic form factors and the electromagnetic static properties of fundamental particles in a consistent and gauge-invariant form. We apply a simple prescription derived in this formalism to check the calculation of the gauge-invariant one-loop bosonic electroweak corrections to the muon anomalous magnetic moment. A definition of the neutrino charge radius that satisfies good physical requirements, i.e. it is a physical observable, has been provided recently [1] in the framework of the Pinch Technique (PT) formalism [2]. In the PT formalism, the construction of a gauge-independent and gauge-invariant one-loop vertex and, in particular, of an effective electromagnetic form 1 E-mail: luis@nuclecu.unam.mx 2 E-mail: Gabriel.Lopez@fis.cinvestav.mx 3 E-mail: pestieau@fyma.ucl.ac.be 1