Infra-red stability of Yukawa and soft-breaking fixed points

Details Infra-red stability of Yukawa and soft-breaking fixed points Infra-red stability of Yukawa and soft-breaking fixed points

1998-09-03

arxiv.org/abs/hep-ph/9809250v2

Phys.Lett. B443 (1998) 177-184

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, tex, Uses harvmac (big). Errors corrected in Eqs. (33)-(35), and some references added

Scientific paper

10.1016/S0370-2693(98)01321-5

We investigate the infra-red stability of the fixed points in the evolution of the Yukawa couplings, $A$-parameters and soft scalar masses in a broad class of supersymmetric theories. We show that the issue of stability is essentially determined in all three cases by the eigenvalues of the same matrix. In a very wide range of physically interesting theories it follows that, in the asymptotically free case, the existence of stable infra-red fixed points for the Yukawa couplings implies stable infra-red fixed points for the $A$-parameters and soft scalar masses.

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