Chiral Anomaly in SU(2)${}_R$-Axion Inflation and the New Prediction for Particle Cosmology

Abstract

Upon embedding the axion-inflation in the minimal left-right symmetric gauge extension of the SM with gauge group $SU(2{)}_L\times SU(2{)}_R\times U(1{)}_{B-L}$, [arXiv:2012.11516] proposed a new particle physics model for inflation. In this work, we present a more detailed analysis. As a compelling consequence, this setup provides a new mechanism for simultaneous baryogenesis and right-handed neutrino creation by the chiral anomaly of $W_R$ in inflation. The lightest right-handed neutrino is the dark matter candidate. This setup has two unknown fundamental scales, i.e., the scale of inflation and left-right symmetry breaking $SU(2{)}_R\times U(1{)}_{B-L}\to U(1{)}_Y$. Sufficient matter creation demands the left-right symmetry breaking scale happens shortly after the end of inflation. Interestingly, it prefers left-right symmetry breaking scales above $10^{10}GeV$, which is in the range suggested by the non-supersymmetric SO(10) Grand Unified Theory with an intermediate left-right symmetry scale. Although $W_R$ gauge field generates equal amounts of right-handed baryons and leptons in inflation, i.e. $B-L=0$, in the Standard Model sub-sector $B-L_{SM}\ne 0$. A key aspect of this setup is that $SU(2{)}_R$ sphalerons are never in equilibrium, and the primordial $B-L_{SM}$ is conserved by the Standard Model interactions. This setup yields a deep connection between CP violation in physics of inflation and matter creation (visible and dark); hence it can naturally explain the observed coincidences among cosmological parameters, i.e., ${\eta }_B\simeq 0.3P_{\zeta }$ and ${\Omega }_{DM}\simeq 5{\Omega }_B$. The $SU(2{)}_R$-axion inflation comes with a cosmological smoking gun; chiral, non-Gaussian, and blue-tilted gravitational wave background, which can be probed by future CMB missions and laser interferometer detectors.

28+20 Pages, 15 Figs

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Cited by in corpus (10)

• SU(2)${}_R$ and its Axion in Cosmology: A common Origin for Inflation, Cold Sterile Neutrinos, and Baryogenesis
• New constraints on axion-gauge field dynamics during inflation from $Planck$ and BICEP/Keck data sets
• The isotropic attractor solution of axion-SU(2) inflation: Universal isotropization in Bianchi type-I geometry
• Gravitational waves from spectator Gauge-flation
• $\mu$-Hybrid Inflation and Metastable Cosmic Strings in $\mathbf{SU}(3{)}_{\mathbf{c}}\times \mathbf{SU}(2{)}_{\mathbf{L}}\times \mathbf{SU}(2{)}_{\mathbf{R}}\times \mathbf{U}(1{)}_{\mathbf{B}-\mathbf{L}}$
• On Sphaleron Heating in the Presence of Fermions
• Magnetogenesis from axion-SU(2) inflation
• Production and backreaction of massive fermions during axion inflation with non-Abelian gauge fields
• Axion anomalies
• Minimal effective theory for leptogenesis, dark matter, and neutrino masses