A Gauss-Bonnet coupling can flip a scalar field's effective mass sign during inflation, triggering symmetry breaking or restoration mid-inflation while leaving the inflationary background and its CMB predictions essentially unchanged.
Baryogenesis via Gravitational Spontaneous Symmetry Breaking
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abstract
We study baryogenesis in effective field theories where a $\mathrm{U}(1)_{ B-L}$-charged scalar couples to gravity via curvature invariants. We analyze the general possibilities in such models, noting the relationships between some of them and existing models, such as Affleck-Dine baryogenesis. We then identify a novel mechanism in which $\mathrm{U}(1)_{ B-L}$ can be broken by couplings to the Gauss-Bonnet invariant during inflation and reheating. Using analytic methods, we demonstrate that this mechanism provides a new way to dynamically generate the net matter-anti-matter asymmetry observed today, and verify this numerically.
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Gauss-Bonnet-induced symmetry breaking/restoration during inflation
A Gauss-Bonnet coupling can flip a scalar field's effective mass sign during inflation, triggering symmetry breaking or restoration mid-inflation while leaving the inflationary background and its CMB predictions essentially unchanged.