Improving the Effective Potential, Multi-Mass Problem and Modified Mass-Dependent Scheme

Details Improving the Effective Potential, Multi-Mass Problem and Modified Mass-Dependent Scheme Improving the Effective Potential, Multi-Mass Problem and Modified Mass-Dependent Scheme

1993-09-02

arxiv.org/abs/hep-ph/9309215v2

Phys.Rev. D49 (1994) 5393-5407

Physics

High Energy Physics

High Energy Physics - Phenomenology

34 pages, 9 Post-Script figures are included

Scientific paper

10.1103/PhysRevD.49.5393

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.

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