Flipped Rotating Axion Non-minimally Coupled to Gravity: Baryogenesis and Dark Matter

TL;DR

This paper proposes a novel mechanism where a rotating axion-like particle, with a non-minimal coupling to gravity, can simultaneously generate the Universe's baryon asymmetry and dark matter, with testable gravitational wave signatures.

Contribution

It introduces a new baryogenesis and dark matter co-genesis mechanism via axion rotation driven by a vacuum flip at inflation's end, involving non-minimal gravity coupling.

Findings

Axion rotation can produce baryon asymmetry through spontaneous baryogenesis.

The model predicts a blue-tilted gravitational wave spectrum testable by future CMB experiments.

Majoron as axion candidate with specific mass and neutrino mass constraints.

Abstract

We demonstrate that the co-genesis of baryon asymmetry and dark matter can be achieved through the rotation of an axion-like particle, driven by a flip in the vacuum manifold's direction at the end of inflation. This can occur if the axion has a periodic non-minimal coupling to gravity, while preserving the discrete shift symmetry. In non-oscillating inflation models, after inflation there is typically a period of kination (with $w = 1$). In this case, it is shown that the vacuum manifold of the axion is flipped and the axion begins rotating in field space, because it can slide across the decreasing potential barrier as in Ricci reheating. Such a rotating axion can generate the baryon asymmetry of the Universe through spontaneous baryogenesis, while at later epochs it can oscillate as dark matter. The period of kination makes the primordial gravitational waves (GW) generated during inflation sharply blue-tilted which constrains the parameter space due to GW overproduction, while being testable by next generation CMB experiments. As a concrete example, we show that such a cogenesis of baryon asymmetry and dark matter can be realized for the axion as the Majoron in the Type-I seesaw setup, predicting mass ranges for the Majoron below sub eVs, with right-handed neutrino mass above $\mathcal{O}(10^{8})$ GeV. We also show that in order to avoid fragmentation of the axion condensate during the rotation, we require the non-minimal coupling $\xi \sim (f/m_P)^2 $ or somewhat larger, where $f$ is the axion decay constant.