Affleck-Dine leptogenesis with triplet Higgs

Abstract

We study an extension of the supersymmetric standard model including a pair of electroweak triplet Higgs $\hat{I}”$ and $\bar{\hat{I}}”$. The neutrinos acquire Majorana masses mediated by these triplet Higgs fields rather than the right-handed neutrinos. The successful leptogenesis for baryogenesis can be realized after the inflation through the Affleck-Dine mechanism on a flat manifold consisting of $\hat{I}”$, $\bar{\hat{I}}”$, ${\tilde{e}}^c$ (anti-slepton), even if the triplet Higgs mass $M_{\hat{I}}”$ is much larger than the gravitino mass $m_{3/2}\sim 10^3\mathrm{GeV}$. Specifically, due to the effects of the potential terms provided with the superpotential terms $M_{\hat{I}}”\bar{\hat{I}}”\hat{I}”$, $(\hat{I}{»}_{L/}/2M)\bar{\hat{I}}”\bar{\hat{I}}”e^c{e}^c$, $(\hat{I}{»}_{\hat{I}}”/2M)\bar{\hat{I}}”\hat{I}”\bar{\hat{I}}”\hat{I}”$ ($\hat{I}{»}_{L/}/\hat{I}{»}_{\hat{I}}”\sim 0.3-3$), the phases of $\hat{I}”$, $\bar{\hat{I}}”$, ${\tilde{e}}^c$ are rotated at the time with the Hubble parameter $H\sim M_{\hat{I}}”$, producing generally the asymmetry with fraction $\hat{I}{\mu }_L\sim 0.1$. If $M_{\hat{I}}”$ is large enough, this early leptogenesis can be completed before the thermal effects take place.

11 pages, 2 figures