Wilson Lines and a Canonical Basis of SU(4) Heterotic Standard Models

Abstract

The spontaneous breaking of SU(4) heterotic standard models by Z_3 x Z_3 Wilson lines to the MSSM with three right-handed neutrino supermultiplets and gauge group SU(3)_C x SU(2)_L x U(1) x U(1) is explored. The two-dimensional subspace of the Spin(10) Lie algebra that commutes with su(3)_C + su(2)_L is analyzed. It is shown that there is a unique basis for which the initial soft supersymmetry breaking parameters are uncorrelated and for which the U(1) x U(1) field strengths have no kinetic mixing at any scale. If the Wilson lines "turn on" at different scales, there is an intermediate regime with either a left-right or a Pati-Salam type model. We compute their spectra directly from string theory, and adjust the associated mass parameter so that all gauge parameters exactly unify. A detailed analysis of the running gauge couplings and soft gaugino masses is presented.

59 pages, 9 figures

References in corpus (12)

• Heterotic Compactification, An Algorithmic Approach
• Displaced Supersymmetry
• Spontaneous R-Parity Breaking and Left-Right Symmetry
• Running soft parameters in SUSY models with multiple U(1) gauge factors
• The Minimal Theory for R-parity Violation at the LHC
• The B-L/Electroweak Hierarchy in Heterotic String and M-Theory
• R-parity Conservation via the Stueckelberg Mechanism: LHC and Dark Matter Signals
• Naturally Light Sterile Neutrinos from Theory of R-parity
• Three Layers of Neutrinos
• Phenomenology of the minimal supersymmetric $U(1{)}_{B-L}\times U(1{)}_R$ extension of the standard model
• The Right Side of Tev Scale Spontaneous R-Parity Violation
• Two Higgs Pair Heterotic Vacua and Flavor-Changing Neutral Currents

Cited by in corpus (22)

• A New Construction of Calabi-Yau Manifolds: Generalized CICYs
• Machine learning Calabi-Yau metrics
• Spontaneous R-Parity Breaking, Stop LSP Decays and the Neutrino Mass Hierarchy
• LSP Squark Decays at the LHC and the Neutrino Mass Hierarchy
• Supersymmetry at the LHC and The Theory of R-parity
• LHC and dark matter signals of Z' bosons
• Supersymmetric Sneutrino-Higgs Inflation
• A Statistical Analysis of the Minimal SUSY B-L Theory
• Perturbative Reheating in Sneutrino-Higgs Cosmology
• The $R$-parity Violating Decays of Charginos and Neutralinos in the B-L MSSM
• The Minimal SUSY $B-L$ Model: Simultaneous Wilson Lines and String Thresholds
• SO(32) heterotic line bundle models
• $R$-parity Violating Decays of Bino Neutralino LSPs at the LHC
• Line Bundle Hidden Sectors for Strongly Coupled Heterotic Standard Models
• Bayesian naturalness, simplicity, and testability applied to the $B-L$ MSSM GUT
• Explicit Soft Supersymmetry Breaking in the Heterotic M-Theory $B-L$ MSSM
• A search for $R$-parity violating supersymmetric decays of the top squark to a $b$-jet and a lepton in $\sqrt{s}$ = 13 TeV $pp$ collisions with the ATLAS detector
• Heterotic $M$-Theory Hidden Sectors with an Anomalous $U(1)$ Gauge Symmetry
• Hidden Sectors from Multiple Line Bundles for the $B-L$ MSSM
• FIMP Dark Matter in Heterotic M-Theory
• $Spin(7)$ Compactifications and 1/4-BPS Vacua in Heterotic Supergravity
• Vacuum Constraints for Realistic Strongly Coupled Heterotic M-Theories