Generalizing Minimal Supergravity

Abstract

In Grand Unified Theories (GUTs), the Standard Model (SM) gauge couplings need not be unified at the GUT scale due to the high-dimensional operators. Considering gravity mediated supersymmetry breaking, we study for the first time the generic gauge coupling relations at the GUT scale, and the general gaugino mass relations which are valid from the GUT scale to the electroweak scale at one loop. We define the index k for these relations, which can be calculated in GUTs and can be determined at the Large Hadron Collider and the future International Linear Collider. Thus, we give a concrete definition of the GUT scale in these theories, and suggest a new way to test general GUTs at future experiments. We also discuss five special scenarios with interesting possibilities. With our generic formulae, we present all the GUT-scale gauge coupling relations and all the gaugino mass relations in the SU(5) and SO(10) models, and calculate the corresponding indices k. Especially, the index k is 5/3 in the traditional SU(5) and SO(10) models that have been studied extensively so far. Furthermore, we discuss the field theory realization of the U(1) flux effects on the SM gauge kinetic functions in F-theory GUTs, and calculate their indices k as well.

RevTex4, 14 pages, 4 tables, references added, version in PLB

References in corpus (9)

• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• Gluino Stransverse Mass
• Gauge Coupling Unification in F-theory GUT Models
• Yukawa Structure from U(1) Fluxes in F-theory Grand Unification
• Flipped SU(5) X U(1)_X Models from F-Theory
• Non-universal gaugino masses from non-singlet F-terms in non-minimal unified models
• Gluino NLSP, Dark Matter via Gluino Coannihilation, and LHC Signatures
• Inclusive transverse mass analysis for squark and gluino mass determination
• Grand unification and enhanced quantum gravitational effects

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