RESUMO
We discuss a possible connection between the recent NANOGrav results and the primordial black holes (PBHs) for the LIGO-Virgo events. In particular, we focus on the axionlike curvaton model, which provides a sizable amount of PBHs and gravitational waves (GWs) induced by scalar perturbations around the NANOGrav frequency range. The inevitable non-Gaussianity of this model suppresses the induced GWs associated with PBHs for the LIGO-Virgo events to be compatible with the NANOGrav results. We show that the axionlike curvaton model can account for PBHs for the LIGO-Virgo events and the NANOGrav results simultaneously.
RESUMO
We show that a parity-breaking uniform (averaged over all directions on the sky) circular polarization of amplitude V_{00}≃2.6×10^{-17}Δχ(r/0.06) can be induced by a chiral gravitational-wave (GW) background with a tensor-to-scalar ratio r and chirality parameter Δχ (which is ±1 for a maximally chiral background). We also show, however, that a uniform circular polarization can arise from a realization of a nonchiral GW background that spontaneously breaks parity. The magnitude of this polarization is drawn from a distribution of root variance sqrt[⟨V_{00}^{2}⟩]≃1.5×10^{-18}(r/0.06)^{1/2}, implying that the chirality parameter must be Δχâ³0.12(r/0.06)^{-1/2} to establish that the GW background is chiral. Although these values are too small to be detected by any experiment in the foreseeable future, the calculation is a proof of principle that cosmological parity breaking in the form of a chiral gravitational-wave background can be imprinted in the chirality of the photons in the cosmic microwave background. It also illustrates how a seemingly parity-breaking cosmological signal can arise from parity-conserving physics.
