B $-$ L genesis by sliding inflaton
  We propose a mechanism of the baryon $-$ the lepton number generation
triggered by dynamical relaxation of inflaton field towards the zero
cosmological constant. CPT violation in the presence of a chemical potential
gives the necessary time arrow and B $-$ L violating scattering generates a net
$B- L$ number. The proposed mechanism does not require CP violating phases in
physics beyond the standard model. We identify the epoch of lepto-genesis based
on two scenarios, thermal genesis and primordial black hole evaporation, which
gives the right amount of baryon asymmetry. The model simultaneously solves
major cosmological conundrums; slow-roll inflation, late-time acceleration and
cold dark matter. The basic theoretical framework is a recently proposed
conformal scalar-tensor gravity that provides stronger gravity than general
relativity predicts.
