Asymmetric dark matter, inflation, and leptogenesis from $B\text{−}L$ symmetry breaking

We propose a unified setup for dark matter, inflation, and baryon asymmetry generation through the neutrino mass seesaw mechanism. Our scenario emerges naturally from an extended gauge group containing $B\text{−}L$ as a noncommutative symmetry, broken by a singlet scalar that also drives inflation. Its decays reheat the universe, producing the lightest right-handed neutrino. Automatic matter parity conservation leads to the stability of an asymmetric dark matter candidate, directly linked to the matter-antimatter asymmetry in the Universe.

Figure 1

Number of $e$-fold contours as a function of $n_s$ and $x=\mathrm{\Phi }/\mathrm{\Lambda }$. The various panels correspond to $m_P/\mathrm{\Lambda }=10$, 100, 1000, and 10 000. The most recent measurement $n_s=0.9649\pm 0.0042$ at 68% C.L. is also shown [50].

Figure 2

$CP$-asymmetric decays of ${\nu }_R$ into dark matter ($N{\eta }_3$) and normal matter ($e{\eta }_2$), respectively, where the Feynman rules and flavor indices can be extracted from Eq. (38).

Figure 3

The ratio ${\eta }_{\mathrm{DM}}/{\eta }_B$ varies as function of $\theta$ when changing the parameter $\widehat{\theta }$.

Figure 4

The ratio ${\eta }_{\mathrm{DM}}/{\eta }_B$ varies as function of $m_{{\nu }_{1R}}$ when changing the remaining parameters.