Lg. Cabral-rosetti et al., Charge and magnetic moment of the neutrino in the background field method and in the linear R-xi(L) gauge, EUR PHY J C, 12(4), 2000, pp. 633-642
We present a computation of the charge and the magnetic moment of the neutr
ino in the recently developed electro-weak Background Field Method and in t
he linear R-xi(L) gauge. First, we deduce a formal Ward-Takahashi identity
which implies the immediate cancellation of the neutrino electric charge. T
his Ward-Takahashi identity is as simple as that for QED. The computation o
f the (proper and improper) one loop vertex diagrams contributing to the ne
utrino electric charge is also presented in an arbitrary gauge, checking in
this way the Ward-Takahashi identity previously obtained. Finally, the cal
culation of the magnetic moment of the neutrino, in the minimal extension o
f the Standard Model with massive Dirac neutrinos, is presented, showing: i
ts gauge parameter and gauge structure independence explicitly.