Asymptotic safety and conformal standard model

We show that the conformal standard model supplemented with asymptotically safe gravity can be valid up to arbitrarily high energies and give a complete description of particle physics phenomena. We restrict the mass of the second scalar particle to $\sim 300\mathrm{GeV}$ and the masses of heavy neutrinos to $\sim 340\mathrm{GeV}$. These predictions can be explicitly tested in the nearby future.

Figure 1

Maximal (left) and minimal (right) $y_M({\lambda }_3,{\lambda }_2)$, $a_{{\lambda }_2}=-3$, $a_{{\lambda }_3}=-3$.

Figure 2

Values of ${\lambda }_1$ for $y_M=0.0$ (left), $y_M=0.5$ (mid), and $y_M=0.77$ (right).

Figure 3

${\lambda }_1$ dependence on ${\lambda }_3$ and $y_M$, $a_{{\lambda }_2}=+3$, $a_{{\lambda }_3}=-3$.

Figure 4

Allowed range of ${\lambda }_2$ coupling, $a_{{\lambda }_2}=-3$, $a_{{\lambda }_3}=+3$.