Abstract: Realistic SM extensions valid up to
in nite energy
Giulio Maria Pelaggi
November 20, 2017
In the last years the colliders could explore a wider range of energies, but the absence of new particles close enough to the weak scale makes the SM more and more un-natural.
In a framework where only the physical corrections to the dimensionful parameters are considered and the gravitational interactions are supposed to be weak at all scales, we want to extend the SM with new degrees of freedom at the TeV scale, such that the behavior of the coupling constants at high energy has no Landau poles and it is under perturbative control.
We analyzed the Trini cation models, that extend the SM gauge group to SU(3)L⊗SU(3)R⊗SU(3)c, to nd a model where all the couplings go to
zero at in nite energy (Totally Asymptotically Free model). We studied the possible signals of the newly introduced particles that are measurable at colliders.
We considered a toy model with gauge group SU(N) featuring vector-like fermions and charged scalars: all the couplings approach an interacting xed point in the Veneziano limit (Totally Asymptotically Safe behavior).
We considered the addition of NF vector-like fermions to the SM: the
complete resummation of the corrections at any order in perturbation theory but at leading order in 1/NF is known. Considering such contributions in
the Renormalization Group equations allows the taming of the Landau poles for all the SM couplings while an interacting xed point arises and the model becomes Totally Asymptotically Safe.
