Lepto-Axiogenesis
  We propose a baryogenenesis mechanism that uses a rotating condensate of a
Peccei-Quinn (PQ) symmetry breaking field and the dimension-five operator that
gives Majorana neutrino masses. The rotation induces charge asymmetries for the
Higgs boson and for lepton chirality through sphaleron processes and Yukawa
interactions. The dimension-five interaction transfers these asymmetries to the
lepton asymmetry, which in turn is transferred into the baryon asymmetry
through the electroweak sphaleron process. QCD axion dark matter can be
simultaneously produced by dynamics of the same PQ field via kinetic
misalignment or parametric resonance, favoring an axion decay constant $f_a
\lesssim 10^{10}$ GeV, or by conventional misalignment and contributions from
strings and domain walls with $f_a \sim 10^{11}$ GeV. The size of the baryon
asymmetry is tied to the mass of the PQ field. In simple supersymmetric
theories, it is independent of UV parameters and predicts the supersymmtry
breaking mass scale to be $\mathcal{O}(10-10^4)$ TeV, depending on the masses
of the neutrinos and whether the condensate is thermalized during a radiation
or matter dominated era. We also construct a theory where TeV scale
supersymmetry is possible. Parametric resonance may give warm axions, and the
radial component of the PQ field may give signals in rare kaon decays from
mixing with the Higgs and in dark radiation.
