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Improving the Effective Potential, Multi-Mass Problem and Modified Mass-Dependent Scheme
We present a new procedure for improving the effective potential by using
renormalization group equation (RGE) in the presence of several mass scales. We
propose a modification of the mass-dependent (MD) renormalization scheme, MDbar
scheme, so that the scalar mass parameter runs at most logarithmically on the
one hand and the decoupling of heavy particles is naturally incorporated in the
RGE's on the other. Thanks to these properties, the procedure in MDbar scheme
turns out to be very simple compared with the regionwise procedure in MSbar
scheme proposed previously. The relation with other schemes is also discussed
both analytically and numerically.Comment: 34 pages, 9 Post-Script figures are include
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