  We elucidate the effects of chiral quenched disorder on the scaling
properties of pure systems by considering a reduced model that is a variant of
the quenched disordered cubic anisotropic O(N) model near its second order
phase transition. A generic short-ranged Gaussian disorder distribution is
considered. For distributions not invariant under spatial inversion ({hence
chiral}), the scaling exponents are found to depend continuously on a model
parameter that describes the extent of inversion symmetry breaking.
Experimental and phenomenological implications of our results are discussed.
