Inflationary Gravitational Wave Spectral Shapes as test for Low-Scale Leptogenesis
Zafri A. Borboruah, Anish Ghoshal, Lekhika Malhotra, Urjit A. Yajnik · arXiv (Cornell University) · 2024
We study non-thermal resonant leptogenesis in a general setting where a heavy majoron $ϕ$ decays to right-handed neutrinos (RHNs) whose further out-of-equilibrium decay generates the required lepton asymmetry. Domination of the energy budget of the Universe by the $ϕ$ or the RHNs alters the evolution history of the primordial gravitational waves (PGW) of inflationary origin, which re-enter the horizon after inflation, modifying the spectral shape. The decays of $ϕ$ and RHNs release entropy into the early Universe while nearly degenerate RHNs facilitate low and intermediate-scale leptogenesis. A characteristic damping of the GW spectrum resulting in knee-like features would provide evidence for low-scale non-thermal leptogenesis. We explore the parameter space for the lightest right-handed neutrino mass $M_1\in[10^2,10^{14}]$ GeV and washout parameter $K$ that depends on the light-heavy neutrino Yukawa couplings $λ$, in the weak ($K 1$) washout regimes. The resulting novel features compatible with observed baryon asymmetry are detectable by future experiments like LISA and ET. By estimating signal-to-noise ratio (SNR) for upcoming GW experiments, we investigate the effect of the majoron mass $M_ϕ$ and reheating temperature $T_ϕ$, which depends on the $ϕ-N$ Yukawa couplings $y_N$.