Renormalization group running triggered tri-resonant leptogenesis within neutrino flavor-symmetry models

Abstract In this paper, we have studied the consequences of some representative neutrino flavor-symmetry models for tri-resonant leptogenesis (which is realized by having three nearly degenerate right-handed neutrinos). To be specific, we have considered a neutrino flavor-symmetry model realizing the TM1 mixing and modular $$\textrm{A}_4$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mtext>A</mml:mtext> <mml:mn>4</mml:mn> </mml:msub> </mml:math> , $$\textrm{S}_4$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mtext>S</mml:mtext> <mml:mn>4</mml:mn> </mml:msub> </mml:math> and $$\textrm{A}_5$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mtext>A</mml:mtext> <mml:mn>5</mml:mn> </mml:msub> </mml:math> symmetry models that have a right-handed neutrino mass matrix $$M_{\textrm{R}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>M</mml:mi> <mml:mtext>R</mml:mtext> </mml:msub> </mml:math> as shown in Eq. (6) which gives three exactly degenerate right-handed neutrino masses and consequently prohibits the leptogenesis mechanism to work successfully. For these models, we study the scenario that the desired right-handed neutrino mass splittings for leptogenesis to work are generated from the renormalization-group running effects. In such a scenario, we explore the parameter space that allows for the reproduction of the observed baryon-antibaryon asymmetry of the Universe.