Abstract
We investigate the backreaction of the Affleck-Dine leptogenesis to inflaton dynamics in the F-term hybrid and chaotic inflation models in supergravity. We determine the lightest neutrino mass in both models so that the predictions of spectral index, tensor-to-scalar ratio, and baryon abundance are consistent with observations.
Highlights
Since the B −L number density is proportional to the phase velocity of the AD field, the B − L asymmetry is generated through this dynamics
We have investigated the backreaction of the AD field to inflaton dynamics, focusing on the LHu flat direction in the minimal SUSY standard model
In the F -term hybrid inflation model, a linear term of inflaton potential is induced by the nonzero superpotential of the AD field
Summary
The success of the Big Bang nucleosynthesis theory requires a large amount of baryon asymmetry at least at the temperature of 1 MeV in the early Universe. There are many works revealing that a constant term in superpotential and a scalar field with a large VEV may affect inflaton dynamics [6,7,8,9]. These effects may rescue the F -term hybrid and chaotic inflation models, which themselves are somewhat inconsistent with the observations of CMB temperature fluctuations. We show that the backreaction of the AD field on the inflaton dynamics can rescue the F -term hybrid and chaotic inflation models and the baryon asymmetry can be consistent with the observation at the same time. We predict extremely small mass for the lightest neutrino, which allows us to calculate the effective Majorana mass for the 0νββ decay process
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