  We reply to a recent comment by Diehl and Shpot (cond-mat/0305131)
criticizing a new approach to the Lifshitz critical behavior just presented (M.
M. Leite Phys. Rev. B 67, 104415(2003)). We show that this approach is free of
inconsistencies in the ultraviolet regime. We recall that the orthogonal
approximation employed to solve arbitrary loop diagrams worked out at the
criticized paper even at three-loop level is consistent with homogeneity for
arbitrary loop momenta. We show that the criticism is incorrect.
