Low-energy effective Lagrangian in unified theories with nonuniversal supersymmetry-breaking terms

Abstract

Supersymmetric grand unified theories with nonuniversal soft supersymmetry-(SUSY-) breaking terms are studied. By integrating out the superheavy fields at a unification scale, we compute their low-energy effective Lagrangian. We find new contributions to the scalar potential specific to the nonuniversal supersymmetry breaking. A D-term contribution to the scalar masses is one example. The gauge hierarchy achieved by a fine-tuning in the superpotential would be violated in general due to the nonuniversal SUSY-breaking terms. We show, however, it is preserved for a certain class of the soft terms derived from a hidden ansatz. We also discuss some phenomenological implications of the nonuniversal supersymmetry breaking, including predictions of the radiative electroweak symmetry-breaking scenario and of no-scale-type models.PACS number(s): 12.10.Dm, 12.60.J~

The soft supersymmetry-breaking Lagrangian: theory and applications

“…This has been studied within supersymmetric GUT frameworks such as SO (10) and PatiSalam SU(4) × SU(2) R × SU(2) L [166,158,167,168,169]. For example, within the Pati-Salam model the D term corrections must be included because they leave an imprint in the scalar masses of the charges carried by the broken GUT generator (these charges determine the coefficients of the g 2 terms above).…”

Soft SUSY breaking contributions to proton decay

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Model-independent analysis of soft masses in heterotic string models with anomalous U(1) symmetry

“…Using the scalar potential and gauge kinetic terms, we can obtain formulae of soft SUSY breaking scalar masses (m 2 ) J I , soft SUSY breaking gaugino masses M α and A-parameters A IJK [18,19], …”