Speaker
Description
The Reduction of Couplings (RoC) method is a powerful tool reducing the number of free parameters in a field theory. In SUSY GUTs it is a prerequisite to construct all-loop finite models, where the beta functions vanish at all loops. This has lead previously to models relating the gauge and Yukawa sectors, that successfully predict the Higgs boson and third generation quark masses. In this talk we show how all-loop finite models of this type exhibit a conformal regime induced by superpotential operators compatible with the reduction of couplings method. In the soft-breaking sector, by assuming that the finite Grand Unified Theory is connected to an effective N = 1, d = 4 Weyl-invariant SUGRA theory, we find a connection between the RoC in the dimensionful SSB sector and the emergence of an anomaly-mediated (AMSB-like) pattern. This leads to a specific form of the Kähler potential, whose structure coincides with that studied in no-scale supergravity scenarios.