Charge and magnetic moment of the neutrino in the background field method and in the linear $R_{\xi}^L$ gauge

L.G. Cabral-Rosetti; J. Bernabéu; J. Vidal; A. Zepeda

doi:doi:10.1007/s100520000304

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2019 Impact factor 4.389

Particles and Fields

Eur. Phys. J. C 12, 633-642
DOI 10.1007/s100520000304

Charge and magnetic moment of the neutrino in the background field method and in the linear $R_{\xi}^L$ gauge

L.G. Cabral-Rosetti¹ - J. Bernabéu¹ - J. Vidal¹ - A. Zepeda²

¹ Departament de Física Teòrica, Universitat de València, 46100 Burjassot, València, Spain
² Centro de Investigaciones y de Estudios Avanzados, del Instituto Politécnico Nacional (Cinvestav-I.P.N.), Apartado Postal 14-740, 07000 México, D.F., México

Received: 6 July 1999 / Revised version: 27 October 1999 /
Published online: 27 January 2000 - © Springer-Verlag 2000 2000

Abstract
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.