Product Groups, Discrete Symmetries, and Grand Unification

Abstract

We study grand unified theories based on an SU(5)xSU(5) gauge group in which the GUT scale, M_{GUT}, is the VEV of an exact or approximate modulus, and in which fast proton decay is avoided through a combination of a large triplet mass and small triplet couplings. These features are achieved by discrete symmetries. In many of our models, M_{GUT} is generated naturally by the balance of higher dimension terms that lift the GUT modulus potential, and soft supersymmetry breaking masses. The theories often lead to interesting patterns of quark and lepton masses. We also discuss some distinctions between grand unified theories and string unification.

23 pages; no figures; revtex4

References in corpus (2)

• Not Even Decoupling Can Save Minimal Supersymmetric SU(5)
• Eliminating the d=5 proton decay operators from SUSY GUTs

Cited by in corpus (15)

• Time Variations in the Scale of Grand Unification
• Neutron Majorana mass from exotic instantons
• Desperately Seeking Supersymmetry [SUSY]
• Product-Group Unification in Type IIB String Thoery
• Upper Bound of Proton Lifetime in Product-Group Unification
• Family Unification with SO(10)
• SU(5)xSU(5) unification revisited
• Small steps towards Grand Unification and the electron/positron excesses in cosmic-ray experiments
• Light GUT Triplets and Yukawa Splitting
• Nucleon decay in gauge unified models with intersecting D6-branes
• Quark and Lepton Masses from Deconstruction
• SU(5)xSU(5)' unification and D2 parity: Model for composite leptons
• Embedding the Pentagon
• [SU(3)XSU(2)XU(1)]^2 and Strong Unification
• The flavor of product-group GUTs