Exact Results for Supersymmetric Renormalization and the Supersymmetric Flavor Problem

TL;DR

The paper addresses the SUSY flavor problem and fermion mass hierarchy by embedding SM fields into a near-conformal sector that drives exact renormalization of soft SUSY-breaking terms. Using a unifying superfield formalism, it shows that conformal dynamics suppresses light-generation Yukawa couplings and A-terms, while driving their soft masses toward small, flavor-blind values; after an exit to the MSSM regime, the first two generation sfermions become nearly degenerate within each charge sector, and flavor-changing effects remain under control with distinctive mass and coupling patterns. The authors provide concrete predictions for the superpartner spectrum, including relations between gaugino masses and light-generation sfermion masses, and discuss remnant FCNCs and CP-violating constraints, highlighting potential signals in K, B meson systems and electric dipole moments. This mechanism offers a concrete route to flavor without imposing explicit flavor symmetries, with testable implications for collider physics and precision flavor measurements.

Abstract

We explore the effects of a strongly-coupled, approximately scale-invariant sector on the renormalization of soft supersymmetry breaking terms. A useful formalism for deriving exact results for renormalization of soft supersymmetry breaking terms is given in an appendix, and used to generalize previously known results to include the effects of nontrilinear superpotential terms. We show that a class of theories which explain the flavor hierarchy without flavor symmetries can also solve the supersymmetric flavor problem by producing nearly degenerate masses for the first two generations of scalar superpartners within each charge sector. Effects from trilinear scalar terms are also suppressed, although their initial values must be relatively small. Our mechanism results in testable predictions for the superpartner spectrum.