  If the Peccei-Quinn field containing the QCD axion undergoes rotations in the
early universe, the dimension-five operator responsible for neutrino masses can
generate a lepton asymmetry that ultimately gives rise to the observed baryon
asymmetry of the Universe. This lepto-axiogenesis scenario requires a flat
potential for the radial direction of the Peccei-Quinn field, naturally
realized in supersymmetric models. We carefully compute the efficiency of this
mechanism for the Dine-Fischler-Srednicki-Zhitnitsky (DFSZ) and
Kim-Shifman-Vainshtein-Zakharov (KSVZ) axion models and place lower bounds on
the masses of scalar superpartners required to reproduce the observed baryon
asymmetry. For the KSVZ model, we find an efficiency for generation of the
asymmetry six times larger than the previously extant computation after
including scattering channels involving superpartners. In this case, the
superpartner scale should be above $\sim$ 30 TeV for a domain wall number of
one; the lower bound weakens for larger domain wall numbers. We find that the
superpartner mass scale may also be as low as 30 TeV for the DFSZ model. In all
cases, the lower bound on the superpartner masses is inversely proportional to
the sum of the squares of the neutrino masses and so can strengthen as the
upper bound on the neutrino mass improves. We identify the parameter space
where the axion rotation can simultaneously produce axion dark matter via
kinetic misalignment; in this case it is possible to put an upper bound of
order PeV on the masses of scalar superpartners.
