Dirac neutrino anapole moment

We calculate the Dirac neutrino anapole moment (a(vl)) in the context of the Standard Model (SM) making use of the Dirac form factor F-D(q(2)) introduced recently by J. Bernabeu, L. G. Cabral-Rosetti, J. Papavassiliou y J. Vidal by using the Pinch Technique (PT) formalism, working in two different gauge-fixing schemes (R-xi guage and the electroweak BFM), at the one loop level. We show that the neutrino anapole form factor F-A(q(2)) and Dirac form factor F-D(q(2)) are related as follows: F-A(q(2)) = 1/q(2) F-D (q(2)). Hence, the Dirac neutrino charge radius <r(vl)(2)> and the anapole moment satisfy the simple relation a(vl) = 1/6 <r(vl)(2)>. Therefore we show that the anapole moment (as the charge radius) of the neutrino is a physical quantity, which only gets contribution from the proper neutrino electromagnetic vertex (in electroweak BFM), and that a v, is of the order 10(-34) cm(2).