Implications of Higgs Discovery for the Strong CP Problem and Unification

Abstract

A $Z_2$ symmetry that extends the weak interaction, $SU(2{)}_L\to SU(2{)}_L\times SU(2{)}^{\prime }$, and the Higgs sector, $H(2)\to H(2,1)+H^{\prime }(1,2)$, yields a Standard Model quartic coupling that vanishes at scale $v^{\prime }=<H^{\prime }>\gg <H>$. Near $v^{\prime }$, theories either have a "prime" sector, or possess "Left-Right" (LR) symmetry with $SU(2{)}^{\prime }=SU(2{)}_R$. If the $Z_2$ symmetry incorporates spacetime parity, these theories can solve the strong CP problem. The LR theories have all quark and lepton masses arising from operators of dimension 5 or more, requiring Froggatt-Nielsen structures. Two-loop contributions to $\bar{\theta }$ are estimated and typically lead to a neutron electric dipole moment of order $10^{-27}$e cm that can be observed in future experiments. Minimal models, with gauge group $SU(3)\times SU(2{)}_L\times SU(2{)}_L\times U(1{)}_{B-L}$, have precise gauge coupling unification for $v^{\prime }=10^{10\pm 1}$ GeV, successfully correlating gauge unification with the observed Higgs mass of $125$ GeV. With $SU(3)\times U(1{)}_{B-L}$ embedded in $SU(4)$, the central value of the unification scale is reduced from $10^{16-17}$ GeV to below $10^{16}$ GeV, improving the likelihood of proton decay discovery. Unified theories based on $SO(10)\times CP$ are constructed that have $H+H^{\prime }$ in a $16$ or $144$ and generate higher-dimensional flavor operators, while maintaining perturbative gauge couplings.

36 pages, 5 figures

References in corpus (5)

• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
• Reduced Limit on the Permanent Electric Dipole Moment of ${}^{199}$Hg
• The Weak Scale from BBN
• Landscape Predictions for the Higgs Boson and Top Quark Masses
• Grand Unification, Axion, and Inflation in Intermediate Scale Supersymmetry

Cited by in corpus (35)

• A Theory of $R(D^{\ast },D)$ Anomaly With Right-Handed Currents
• P not PQ
• Increasing Temperature toward the Completion of Reheating
• Sterile Neutrino Dark Matter in Left-Right Theories
• Higgs Parity, Strong CP, and Dark Matter
• Axiogenesis from $SU(2{)}_R$ phase transition
• Dark Matter, Dark Radiation and Gravitational Waves from Mirror Higgs Parity
• Naturally Light Dirac and Pseudo-Dirac Neutrinos from Left-Right Symmetry
• Chiral Nelson--Barr Models: Quality and Cosmology
• Higgs Parity Grand Unification
• Left-Right symmetric fermions and sterile neutrinos from complex split biquaternions and bioctonions
• Novel loop-diagrammatic approach to QCD $\theta$ parameter and application to the left-right model
• Spin(11,3), particles and octonions
• Sterile Neutrino Dark Matter and Leptogenesis in Left-Right Higgs Parity
• Spontaneous Twin Symmetry Breaking
• Octonion Internal Space Algebra for the Standard Model
• Axiogenesis with a Heavy QCD Axion
• A Grand Unified Parity Solution to Strong CP Problem
• FAKE GUT
• WIMP dark matter in the parity solution to the strong CP problem
• Closer look at the matching condition for radiative QCD $\theta$ parameter
• Proton Decay and Axion Dark Matter in SO(10) Grand Unification via Minimal Left-Right Symmetry
• The Type II Dirac Seesaw Portal to the mirror sector: Connecting neutrino masses and a solution to the strong CP problem
• Nambu-Goldstone Affleck-Dine Baryogenesis
• Dark Matter Detection, Standard Model Parameters, and Intermediate Scale Supersymmetry
• CKM substructure from the weak to the Planck scale
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Baryogenesis in a Parity Solution to the Strong CP Problem
• Electroweak-like Baryogenesis with New Chiral Matter
• More on Fake GUT
• Higgs flavor phenomenology in a supersymmetric left-right model with parity
• Spontaneous CP Violation and the Strong CP Problem in Left-Right Symmetric Theories
• Two-loop corrections to QCD $\theta$ angle from evanescent operator in the BMHV scheme
• Strong CP from a Hidden Chiral Condensate
• A Right-handed Neutrino Portal to the Hidden sector : Active Neutrinos and their Twins in an F-theory model