Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-07-06
Eur.Phys.J.C12:633-642,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
Latex, 19 pages, 9 PS and 10 EPS figures. One reference added. Appendix B modified and Appendices C-E eliminated. To be publis
Scientific paper
We present a computation of the charge and the magnetic moment of the neutrino in the recently developed electro-weak Background Field Method and in the linear $R_{\xi}^L$ gauge. First, we deduce a formal Ward-Takahashi identity which implies the immediate cancellation of the neutrino electric charge. This Ward-Takahashi identity is as simple as that for QED. The computation of the (proper and improper) one loop vertex diagrams contributing to the neutrino electric charge is also presented in an arbitrary gauge, checking in this way the Ward-Takahashi identity previously obtained. Finally, the calculation of the magnetic moment of the neutrino, in the minimal extension of the Standard Model with massive Dirac neutrinos, is presented, showing its gauge parameter and gauge structure independence explicitly.
Bernabeu Jose
Cabral-Rosetti Luis G.
Vidal Jordi
Zepeda Arnulfo
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