Solving the Hierarchy Problem Discretely

Abstract

We present a new solution to the Hierarchy Problem utilizing non-linearly realized discrete symmetries. The cancelations occur due to a discrete symmetry that is realized as a shift symmetry on the scalar and as an exchange symmetry on the particles with which the scalar interacts. We show how this mechanism can be used to solve the Little Hierarchy Problem as well as give rise to light axions.

6 pages, 2 figures

References in corpus (3)

• Stellar cooling bounds on new light particles: plasma mixing effects
• Limits on a CP-violating scalar axion-nucleon interaction
• Colorless Top Partners, a 125 GeV Higgs, and the Limits on Naturalness

Cited by in corpus (69)

• The landscape of QCD axion models
• Feebly-Interacting Particles:FIPs 2020 Workshop Report
• An even lighter QCD axion
• Prospects for axion searches with Advanced LIGO through binary mergers
• Dark matter from an even lighter QCD axion: trapped misalignment
• First Constraints on Nuclear Coupling of Axionlike Particles from the Binary Neutron Star Gravitational Wave Event GW170817
• Search for oscillations of fundamental constants using molecular spectroscopy
• Novel cosmological bounds on thermally-produced axion-like particles
• A CMB Millikan Experiment with Cosmic Axiverse Strings
• Inflating to the Weak Scale
• The Phenomenology of Quadratically Coupled Ultra Light Dark Matter
• Relaxion and light (pseudo)scalars at the HL-LHC and lepton colliders
• Supernova axions convert to gamma-rays in magnetic fields of progenitor stars
• Axion Couplings in Grand Unified Theories
• The future search for low-frequency axions and new physics with the FLASH resonant cavity experiment at Frascati National Laboratories
• Photophilic hadronic axion from heavy magnetic monopoles
• First Search for Axion-Like Particles in a Storage Ring Using a Polarized Deuteron Beam
• New Limit on Axion-Like Dark Matter using Cold Neutrons
• A Time-Varying Fine Structure Constant from Naturally Ultralight Dark Matter
• Cosmological Tension of Ultralight Axion Dark Matter and its Solutions
• Constraining Light QCD Axions with Isolated Neutron Star Cooling
• Cosmological effects of Peccei-Quinn symmetry breaking on QCD axion dark matter
• Probing an ultralight QCD axion with electromagnetic quadratic interaction
• Searching for a Fifth Force with Atomic and Nuclear Clocks
• Cosmologically Varying Kinetic Mixing
• Detecting Axion Dark Matter with Black Hole Polarimetry
• Axion-pion thermalization rate in unitarized NLO chiral perturbation theory
• The cost of an ALP solution to the neutral $B$-anomalies
• ALP Searches at the LHC: FASER as a Light Shining through Walls Experiment
• From axion quality and naturalness problems to a high-quality ${\mathbb{Z}}_N$ QCD relaxion
• Neutrino Interactions in the Late Universe
• Unitarity constraints on ALP interactions
• Axion dark matter from frictional misalignment
• Coset Cosmology
• Searching for dark matter with the Th-229 nuclear lineshape from laser spectroscopy
• The Quality/Cosmology Tension for a Post-Inflation QCD Axion
• Consequences of Fine-Tuning for Fifth Force Searches
• S.M.A.S.H.E.D.: Standard Model Axion Seesaw Higgs Inflation Extended for Dirac Neutrinos
• Pi in the Sky: Neutron Stars with Exceptionally Light QCD Axions
• Prospects of nuclear-coupled-dark-matter detection via correlation spectroscopy of I${}_2^{+}$ and Ca${}^{+}$
• Searches for other vacua I: bubbles in our universe
• Gegenbauer Goldstones
• Non-linearly realized discrete symmetries
• Aspects of Axions and ALPs Phenomenology
• Nuclear decay anomalies as a signature of axion dark matter
• A Light QCD Axion with Hilltop Misalignment
• New Technologies for Axion and Dark Photon Searches
• Discrete Goldstone Bosons
• Minimal Electroweak Baryogenesis via Domain Walls
• A Lighter QCD Axion from Anarchy
• Cosmic Birefringence from CP-Violating Axion Interactions
• Weak nuclear decays deep-underground as a probe of axion dark matter
• (Non-)Perturbative Dynamics of a Light QCD Axion: Dark Matter and the Strong CP Problem
• Stacking the Deck: Gambling on a Light QCD Axion
• UV Sensitivity of the Axion Mass from Instantons in Partially Broken Gauge Groups
• Wideband Search for Axionlike Dark Matter Using Octupolar Nuclei in a Crystal
• Axion Window on New Macroscopic Forces
• Apparent $w<-1$ and a Lower $S_8$ from Dark Axion and Dark Baryons Interactions
• Predicting the Dark Matter -- Baryon Abundance Ratio
• The Forward Physics Facility at the High-Luminosity LHC
• One-loop corrections to ALP couplings
• One-loop corrections to ALP couplings
• Axions at the meV Crossroads: Theory, Cosmology, Astrophysics, and Experiments
• Ultralight Axions Versus Primordial Black Holes
• Axion dark matter detection via shift current
• Kination cosmology from scalar fields and gravitational-wave signatures
• Large-$N$ Random Matrix Gravity and the Double Hierarchy Problem
• Probing Quadratically Coupled Ultralight Dark Matter with Pulsar Timing Arrays
• Axion signatures from supernova explosions through the nucleon electric-dipole portal