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arXiv · hep-ph/0310028

The effective neutrino charge radius

J. Papavassiliou·J. Bernabeu·D. Binosi·J. Vidal
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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.

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J. Papavassiliou, J. Bernabeu, D. Binosi, J. Vidal. 2003-10-02. The effective neutrino charge radius. https://doi.org/10.1140/epjcd%2Fs2003-03-920-7

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