  We analyse the renormalization of the of two-nucleon interaction with
multiple subtractions in peripheral waves considering two chiral forces at
N3LO. Phase shifts at low energies are then computed with several subtraction
points below \mu = 10 / fm. We show that for most peripheral waves the phase
shifts have nearly no dependence on the renormalization scale. In two cases the
phase shifts converge slowly as the renormalization scale approaches \mu = 1 /
fm and in one case the phase shifts presented oscillations with respect to the
subtraction point \mu.
