Eur Phys J C (2004) 33: s865-s867
https://doi.org/10.1140/epjcd/s2003-03-920-7

PS09 Neutrino Properties and Oscillations

The effective neutrino charge radius

Departamento de Física Teórica and IFIC, Universidad de Valencia-CSIC, E-46100, Burjassot, Valencia, Spain

Received: 8 October 2003
Accepted: 22 October 2003
Published online: 28 October 2003

Abstract

It is shown that at one-loop order a neutrino charge radius (NCR) may be defined, which is ultraviolet finite, does not depend on the gauge-fixing parameter, nor on properties of the target other than its electric charge. This is accomplished through the systematic decomposition of physical amplitudes into effective self-energies, vertices, and boxes, which separately respect electroweak gauge invariance. In this way the NCR stems solely from an effective proper photon-neutrino one-loop vertex, which satisfies a naive, QED-like Ward identity. The NCR so defined may be extracted from experiment, at least in principle, by expressing a set of experimental electron-neutrino cross-sections in terms of the finite NCR and two additional gauge- and renormalization-group-invariant quantities, corresponding to the electroweak effective charge and mixing angle.

PACS: 13.15.+g Neutrino interactions – 13.40.Gp Electromagnetic form factors