  We introduce an on shell renormalization scheme in which the mass parameter
of minimal MS scheme is replaced with the pole mass obtained from the loop
order expansion of the pole mass in the MS scheme. As a consequence, the
quartic coupling constant remains same as that of the MS scheme and the vacuum
expectation value gets contributions from the one-particle-irreducible
diagrams. We also show the renormalization group invariance of the pole mass in
this scheme.
