Planck Scale Unification in a Supersymmetric Standard Model

Abstract

We show how gauge coupling unification near the Planck scale $M_P\sim 10^{19}$ GeV can be achieved in the framework of supersymmetry, facilitating a full unification of all forces with gravity. Below the conventional GUT scale $M_{GUT}\sim 10^{16}$ GeV physics is described by a Supersymmetric Standard Model whose particle content is that of three complete $27$ representations of the gauge group $E_6$. Above the conventional GUT scale the gauge group corresponds to a left-right symmetric Supersymmetric Pati-Salam model, which may be regarded as a ``surrogate SUSY GUT'' with all the nice features of SO(10) but without proton decay or doublet-triplet splitting problems. At the TeV scale the extra exotic states may be discovered at the LHC, providing an observable footprint of an underlying $E_6$ gauge group broken at the Planck scale. Assuming an additional low energy $U(1{)}_X$ gauge group, identified as a non-trivial combination of diagonal $E_6$ generators, the $\mu$ problem of the MSSM can be resolved.

Minor corrections. 12 pages, 2 figures

References in corpus (14)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Big-Bang Nucleosynthesis and Hadronic Decay of Long-Lived Massive Particles
• The Soft Supersymmetry-Breaking Lagrangian: Theory and Applications
• Implications of Abelian Extended Gauge Structures From String Models
• Theory and Phenomenology of an Exceptional Supersymmetric Standard Model
• Exceptional Supersymmetric Standard Model
• Scale of Quantum Gravity
• Gauge Coupling Unification in the Exceptional Supersymmetric Standard Model
• Minimal Supersymmetric $SU(4)\times SU(2{)}_L\times SU(2{)}_R$
• Desperately Seeking Supersymmetry [SUSY]
• Unification Without Doublet-Triplet Splitting
• Planck-Scale Unification and Dynamical Symmetry Breaking
• Wilson line breaking and gauge coupling unification

Cited by in corpus (26)

• Predictions of the Constrained Exceptional Supersymmetric Standard Model
• Minimal E_6 Supersymmetric Standard Model
• 750 GeV Diphoton Resonance from Singlets in an Exceptional Supersymmetric Standard Model
• GUT Physics in the era of the LHC
• LHC Signatures of the Constrained Exceptional Supersymmetric Standard Model
• $E_6$ Inspired SUSY Benchmarks, Dark Matter Relic Density and a 125 GeV Higgs
• Solving the Flavour Problem in Supersymmetric Standard Models with Three Higgs Families
• Neutralino Dark Matter in the USSM
• Threshold Corrections in the Exceptional Supersymmetric Standard Model
• E6 Models from F-theory
• Dark Matter in a Constrained $E_6$ Inspired SUSY Model
• Exceptional Supersymmetric Standard Models with non-Abelian Discrete Family Symmetry
• Implications of large CP Violation in B mixing for Supersymmetric Standard Models
• Z' mass limits and the naturalness of supersymmetry
• Multiple Scales in Pati-Salam Unification Models
• Grand unification through gravitational effects
• Dark matter candidates in the constrained Exceptional Supersymmetric Standard Model
• Flavour Models with Three Higgs Generations
• NMSSM+
• Lepton-flavour violation in a Pati-Salam model with gauged flavour symmetry
• Leptogenesis and Dark Matter-Nucleon Scattering Cross Section in the SE6SSM
• Combining Pati-Salam and Flavour Symmetries
• TeV-scale leptoquark searches at the LHC and their E${}_6$SSM Interpretation
• The Constrained E${}_6$SSM
• Minimal dark matter in $SU(5)$ grand unification
• Interactions of exotic neutralino dark matter with nucleons in $U(1)$ extensions of the MSSM originating from $E_6$ GUTs