Observable Gravity Waves From U(1)_$B-L$ Higgs and Coleman-Weinberg Inflation

Abstract

We present a realistic non-supersymmetric inflation model based on a gauged U(1)${}_{B-L}$ symmetry and a tree-level Higgs potential. The inflaton is identified with the scalar field which spontaneously breaks U(1)${}_{B-L}$, and we include radiative corrections à la Coleman-Weinberg in the inflaton potential. If the scalar spectral index $n_s$ lies close to 0.96, as indicated by the recent Planck and WMAP 9-yr measurements, the tensor-to-scalar ratio $r$, a canonical measure for gravity waves, exceeds 0.01. Thus, according to this model, gravity waves should be found in the near future. In this case, the quantity $|d{n}_s/d\ln k|$ lies in the range $0.004-0.005$. Successful baryogenesis can be realized in this class of models either via thermal or non-thermal leptogenesis.

Comments: 4 pages, 4 figures