Suppressing dimension-5 operators in general SU(5) models

Abstract

We discuss dimension-5 operators in supersymmetric models containing extra hypercharge 1/3 color-triplets. We derive a general formula relating dimension-5 operator to the color-triplet mass matrix. We show that certain zeros in the triplet mass-matrix together with some triplet coupling selection rules can lead to elimination of dimension-5 operators. In particular we focus on SU(5) models and show that (a) Dimension-5 operators can be eliminated in the standard SU(5) model by the introduction of an extra pair of 5+5b Higgses with specific couplings (b) Flipped SU(5) models with extra 10+10b Higgses are free of dimension-5 operators (c) Flipped SU(5) models with extra 5+5b and/or extra 10+10b Higgses can be made free of dimension-5 operators for a textured form of the triplet mass-matrix accompanied by constraints on the 5-plet couplings to matter. Our analysis is motivated by the recently put forward M-theory phenomenological framework that requires a strong string coupling and reintroduces the problem of eliminating dimension-5 operators.

10 pages, Latex2e, minor changes, references added

References in corpus (4)

• Suggested new modes in supersymmetric proton decay
• M-Theory Model-Building and Proton Stability
• Unification predictions
• String scale unification in an SU(6)xSU(2) GUT

Cited by in corpus (5)

• Proton stability in grand unified theories, in strings, and in branes
• N=1 supersymmetric SU(4)xSU(2)LxSU(2)R effective theory from the weakly coupled heterotic superstring
• Distinguishing between SU(5) and flipped SU(5)
• Particle physics and cosmology of the string derived no-scale flipped $SU(5)$
• Proton Stability in $SU(5)\times U(1)$ and $SU(6)\times SU(2)$ GUTs