Top Quark Mass in Exophobic Pati--Salam Heterotic String Model

Abstract

We analyse the phenomenology of an exemplary exophobic Pati-Salam heterotic string vacuum, in which no exotic fractionally charged states exist in the massless string spectrum. Our model also contains the Higgs representations that are needed to break the gauge symmetry to that of the Standard Model and to generate fermion masses at the electroweak scale. We show that the requirement of a leading mass term for the heavy generation, which is not degenerate with the mass terms of the lighter generations, places an additional strong constraint on the viability of the models. In many models a top quark Yukawa may not exist at all, whereas in others two or more generations may obtain a mass term at leading order. In our exemplary model a mass term at leading order exist only for one family. Additionally, we demonstrate the existence of supersymmetric F- and D-flat directions that give heavy mass to all the colour triplets beyond those of the Standard Model and leave one pair of electroweak Higgs doublets light. Hence, below the Pati-Salam breaking scale, the matter states in our model that are charged under the observable gauge symmetries, consist solely of those of the Minimal Supersymmetric Standard Model.

16 pages. 2 figures. Minor typos corrected

References in corpus (21)

• Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold
• Construction of Realistic Standard--like Models in the Free Fermionic Superstring Formulation
• The Heterotic Road to the MSSM with R parity
• String derived MSSM and M-theory Unification
• N=1 supersymmetric SU(4)xSU(2)LxSU(2)R effective theory from the weakly coupled heterotic superstring
• Chiral family classification of fermionic Z2xZ2 heterotic orbifold models
• Classification of the chiral Z2XZ2 fermionic models in the heterotic superstring
• Left-Right Symmetric Heterotic-String Derived Models
• Stable Superstring Relics
• Spinor-Vector Duality in fermionic Z2XZ2 heterotic orbifold models
• Proton stability in superstring derived models
• Exophobic Quasi-Realistic Heterotic String Vacua
• "Anomalous" U(1) Symmetry in Orbifold String Models
• Classification of Heterotic Pati-Salam Models
• Stable Superstring Relics and Ultrahigh Energy Cosmic Rays
• Physics Implications of Flat Directions in Free Fermionic Superstring Models II: Renormalization Group Analysis
• Classification of the N=2, Z2 X Z2-symmetric type II orbifolds and their type II asymmetric duals
• Spinor-Vector Duality in Heterotic SUSY Vacua
• Doublet-Triplet Splitting in Realistic Heterotic String Derived models
• Calculating Fermion masses in Superstring Derived Standard-like Models
• Search for Free Fractional Electric Charge Elementary Particles

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