We calculate critical exponents of chiral Ising, XY and Heisenberg uni
versality classes up to second order in 4 - epsilon expansion. General
expressions for any number N of fermionic variables are given and com
pared with recent extensive 1/N calculation and lattice simulations. T
he possibility that these new universality classes describe critical p
henomena in certain 3D magnetic systems and in finite temperature phas
e transitions of 3 + 1 dimensional quantum field theories is briefly d
iscussed.