Bridging resonant leptogenesis and low-energy CP violation with an RGE-modified seesaw relation

Abstract

We propose a special type-I seesaw scenario in which the Yukawa coupling matrix $Y_{\nu }^{}$ can be fully reconstructed by using the light Majorana neutrino masses $m_i^{}$, the heavy Majorana neutrino masses $M_i^{}$ and the PMNS lepton flavor mixing matrix $U$. It is the RGE-induced correction to the seesaw relation that helps interpret the observed baryon-antibaryon asymmetry of the Universe via flavored resonant thermal leptogenesis with $M_1^{}\simeq M_2^{}\ll M_3^{}$. We show that our idea works well in either the $\tau$-flavored regime with equilibrium temperature $T\simeq M_1^{}\in (10^9,10^{12}]$ GeV or the $(\mu +\tau )$-flavored regime with $T\simeq M_1^{}\in (10^5,10^9]$ GeV, provided the light neutrinos have a normal mass ordering. We find that the same idea is also viable for a {\it minimal} type-I seesaw model with two nearly degenerate heavy Majorana neutrinos.

Comments: 15 pages, 4 figures, a typo corrected and references added