Embedded constant mean curvature tori in hemispheres of Berger spheres

We prove that for all real numbers $κ,τ$ with $κ>8τ^2$ and $τ\neq 0$, the Berger sphere $\mathbb{E}^3(κ,τ)$ contains smooth closed embedded rotational surfaces of genus one with constant mean curvature which are contained in an open hemisphere. This disproves a conjecture of Fernández and Mira. The