Significance of soft-scale breaking on primordial black hole production in Coleman-Weinberg type supercooling-phase transition

Abstract

Ultra-supercooling phase transitions can generate large overdensities in the Universe, potentially leading to the formation of primordial black holes (PBHs), which can also be a dark matter candidate. In this work, we focus on the supercooling phase transition for the scale symmetry breaking based on the effective potential of the Coleman-Weinberg (CW) type. We investigate the effect on the PBH production in the presence of an additional mass term for the CW scalar field, what we call a soft-scale breaking term, which serves as the extra explicit-scale breaking term other than the quantum scale anomaly induced by the CW mechanism. We demonstrate that even a small size of the soft-scale breaking term can significantly affect the PBH production depending on its sign: a positive term slows down the phase transition, thereby enhancing the PBH abundance and improving the model's ability to account for dark matter; in contrast, a negative term suppresses the PBH formation. The inclusion of such soft-scale breaking terms broadens the viable parameter space and increases the flexibility of the framework. We further illustrate our results through two ultraviolet-complete realizations: i) a many-flavor QCD-inspired model as a reference model which can dynamically induce a positive-soft scale breaking; ii) a Higgs portal model with a $B-L$ scalar as the benchmark for the case where a negative-soft scale breaking is induced. Our study would provide a new testable link between PBH dark matter and gravitational wave signatures in the CW-type scenario.

v2, minor addition to discussion added, refs updated

References in corpus (45)

• The Chiral Magnetic Effect
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• Gravitational-wave sensitivity curves
• Gravitational Wave Production by Collisions: More Bubbles
• Charge separation induced by P-odd bubbles in QCD matter
• Constraints on Earth-mass primordial black holes from OGLE 5-year microlensing events
• No large population of unbound or wide-orbit Jupiter-mass planets
• Gravitational wave energy budget in strongly supercooled phase transitions
• Primordial black hole production during first-order phase transitions
• Friction pressure on relativistic bubble walls
• Constraining primordial black holes as dark matter using the global 21-cm signal with X-ray heating and excess radio background
• Primordial black holes from strong first-order phase transitions
• Primordial Black Holes from Supercooled Phase Transitions
• No massive black holes in the Milky Way halo
• Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory
• Conformal model for gravitational waves and dark matter: A status update
• Supercooling in Radiative Symmetry Breaking: Theory Extensions, Gravitational Wave Detection and Primordial Black Holes
• PBH formation from overdensities in delayed vacuum transitions
• Can supercooled phase transitions explain the gravitational wave background observed by pulsar timing arrays?
• Supercool subtleties of cosmological phase transitions
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• Microlensing optical depth and event rate toward the Large Magellanic Cloud based on 20 years of OGLE observations
• Supercool exit: Gravitational waves from QCD-triggered conformal symmetry breaking
• Primordial black holes as dark matter: Interferometric tests of phase transition origin
• Inflation and reheating in scale-invariant scalar-tensor gravity
• Gravitational waves from supercooled phase transitions: dimensional transmutation meets dimensional reduction
• Effects of the shape of curvature peaks on the size of primordial black holes
• The Supercooling Window at Weak and Strong Coupling
• Primordial Black Holes from Conformal Higgs
• Pulsar Timing Arrays and Primordial Black Holes from a Supercooled Phase Transition
• Axion cold dark matter: status after Planck and BICEP2
• Model-Independent Radiative Symmetry Breaking and Gravitational Waves
• First-order restoration of SU(Nf) x SU(Nf) chiral symmetry with large Nf and Electroweak phase transition
• Sharpening the dark matter signature in gravitational waveforms II: Numerical simulations with the NbodyIMRI code
• Cosmology of Supercooled Universe
• Slaying Axion-Like Particles via Gravitational Waves and Primordial Black Holes from Supercooled Phase Transition
• Finite-temperature bubble nucleation with shifting scale hierarchies
• Composite Hybrid Inflation: Dilaton and Waterfall Pions
• Vector dark matter in supercooled Higgs portal models
• Black holes and gravitational waves from phase transitions in realistic models
• Remark on the QCD-electroweak phase transition in a supercooled Universe
• Ladder top-quark condensation imprints in supercooled electroweak phase transition
• Dynamical realization of the small field inflation of Coleman-Weinberg type in the post supercooled universe
• Walking-dilaton hybrid inflation with $B-L$ Higgs embedded in dynamical scalegenesis
• Gravitational wave footprints from Higgs-portal scalegenesis with multiple dark chiral scalars

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