Gauge hierarchy problem and scalegenesis

Abstract

We review the gauge hierarchy problem in the standard model. We discuss the meaning of the quadratic divergence in terms of the Wilsonian renormalization group. Classical scale symmetry, which prohibits dimensionful parameters in the bare action, could play a key role for the understanding of the origin of the electroweak scale. We discuss the scale-generation mechanism, i.e. scalegenesis in scale invariant theories. In this paper, we introduce a scale invariant extension of the SM based on a strongly interacting scalar-gauge theory. It is discussed that asymptotically safe quantum gravity provides a hint about solutions to the gauge hierarchy problem.

26 pages, 4 figures, contribution to Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity", 31 Aug - 25 Sep 2019, Corfu, Greece