On the basis of Braaten & Segel's representation of the electromagneti
c dispersion relations in a QED plasma, we check the numerical accurac
y of several published analytic approximations to the plasma neutrino
emission rates. As we find none of them satisfactory, we derive a new
analytic approximation which is accurate to within 4% where the plasma
process dominates. The correct emission rates in the parameter regime
relevant for the red giant branch in globular clusters are larger by
about 10%-20% than those of previous stellar evolution calculations. T
herefore, the core mass of red giants at the He flash is larger by abo
ut 0.005 M., or 1%, than previously thought. Our bounds on neutrino ma
gnetic dipole moments remain virtually unchanged.