Seminarium "Teoria cząstek elementarnych i kosmologia"

After reviewing a few basic notions of asymptotic safety in gravity and matter, I will show that in gauge-Yukawa theories quantum scale symmetry can prevent the appearance in the Lagrangian of couplings that would otherwise be allowed by the gauge symmetry. Such couplings correspond to irrelevant Gaussian fixed points of the renormalization group flow. Their absence implies that different sectors of the theory are secluded from one another, in similar fashion to the effects of a global or a discrete symmetry. As an example, I will impose the trans-Planckian scale symmetry on a model of Grand Unification based on the gauge group SU(6), showing that it leads to the emergence of several fermionic WIMP dark matter candidates whose coupling strengths are entirely predicted by the UV completion.