Upper limit on the magnetic moment of the neutrino

We have recalculated the processes $e\nu \to e\nu$ and $e^{+}{e}^{-}\to \nu \overline{\nu }$ due to an assumed magnetic moment $\kappa$ of the neutrino (correcting some errors in the previous calculations). Comparing the results with the Fermi and electroweak models we set a suggestive limit $\kappa \lesssim {\left(\frac{\mathrm{gm}}{e{M}_Z}\right)}^2{\mu }_0$, where $m$ is the electron mass and ${\mu }_0=\frac{e}{2m}$. A very sensitive method to set a good upper limit would be to measure the angular distribution of $e\nu \to e\nu$ near the forward direction.