Exploring the vacuum structure of gravitationally induced neutrino masses

Abstract

In this work, we explore the proposed mechanism in which the gravitational $\theta$ anomaly generates neutrino masses. We highlight that the leading renormalizable interactions of the neutrino condensate forbid the possibility of generating hierarchical masses consistent with observation. This conclusion still holds when Standard Model loop corrections are accounted for. We show that higher-dimensional operators can alleviate this problem. The higher-dimensional operators could be generated from the gravitational anomaly itself, but there is no clear way to know without a deeper understanding of the low-energy description of this mechanism. Because of that, we explore the possibility of new particles generating neutrino mass splittings. We show that both new particles that alter the scalar potential of the condensate or new particles in loops for the neutrino self-energy can solve this problem.

arXiv commentreferences added. version accepted for publication in Phys. Rev. D

References in corpus (28)

• Evidence for oscillation of atmospheric neutrinos
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Phenomenology with Massive Neutrinos
• Reduction schemes for one-loop tensor integrals
• Unveiling $\nu$ secrets with cosmological data: neutrino masses and mass hierarchy
• Milky Way Satellite Census. III. Constraints on Dark Matter Properties from Observations of Milky Way Satellite Galaxies
• Atmospheric neutrino oscillation analysis with external constraints in Super-Kamiokande I-IV
• Upper Bound of 0.28 eV on the Neutrino Masses from the Largest Photometric Redshift Survey
• On the improvement of cosmological neutrino mass bounds
• Updated constraints on non-standard neutrino interactions from Planck
• Constraining invisible neutrino decays with the cosmic microwave background
• Scale-dependent galaxy bias, CMB lensing-galaxy cross-correlation, and neutrino masses
• Small neutrino masses from gravitational $\theta$-term
• Are cosmological neutrinos free-streaming?
• Combining Planck with Large Scale Structure gives strong neutrino mass constraint
• Distinguishing Dirac and Majorana neutrinos by their gravi-majoron decays
• Time-varying neutrino mass from a supercooled phase transition: current cosmological constraints and impact on the ${\Omega }_m$-${\sigma }_8$ plane
• Relaxation of the Cosmological Constant
• Yukawa hierarchies from spontaneous breaking of the $\bma{SU(3)_L\times SU(3)_R}$ flavour symmetry?
• Probing the Weinberg Operator at Colliders
• Model independent constraints on mass-varying neutrino scenarios
• Inflation might be caused by the right
• Minimal $SU(3)\times SU(3)$ symmetry breaking patterns
• The diffuse supernova neutrino background as a probe of late-time neutrino mass generation
• Gravity triggered neutrino condensates
• Experimental signatures of cosmological neutrino condensation
• Time- and Space-Varying Neutrino Mass Matrix from Soft Topological Defects
• Mass-varying neutrino in light of cosmic microwave background and weak lensing

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