Running Non-Minimal Inflation with Stabilized Inflaton Potential
SPEAKER
Nobuchika Okada, University of Alabama
PLACE
Meeting Room 1, Kenkyu Honkan 1F
In the context of the Higgs model involving gauge and Yukawa interactions with
the spontaneous gauge symmetry breaking, we consider $\lambda \phi^4$ inflation
with non-minimal gravitational coupling, where the Higgs field is identified as inflaton.
Since the inflaton quartic coupling is very small, once quantum corrections through the
gauge and Yukawa interactions are taken into account, the inflaton effective potential
most likely becomes unstable. In order to avoid this problem, we need to impose stability
conditions on the effective inflaton potential, which lead to not only non-trivial relations
among the particle mass spectrum of the model, but also correlations between the
inflationary predictions and the mass spectrum. For concrete discussion, we investigate
the minimal B−L extension of the Standard Model with identification of the B−L Higgs
field as inflaton. The stability conditions for the inflaton effective potential fix the mass
ratio among the B−L gauge boson, the right-handed neutrinos and the inflaton. This
mass ratio also correlates with the inflationary predictions. In other words, if the B−L
gauge boson and the right-handed neutrinos are discovered in future, their observed
mass ratio provides constraints on the inflationary predictions.