  We provide a closed analytical form for the gauge contribution to the beta
function of a generic Yukawa coupling in the limit of large $N_F$, where $N_F$
is the number of heavy vector-like fermions charged under an abelian or
non-abelian gauge group. The resummed expression is finite and for the abelian
case presents a pole at the same location as for the corresponding gauge beta
function. When applied to new physics scenarios characterized by large Yukawa
couplings, the contribution calculated here can cure their pathological UV
behavior and make the couplings asymptotically free.
