The masses of known elementary particles span over (at least) twelve orders of magnitude, from neutrino masses to the electroweak scale, whereas the mass of particle dark matter could be anywhere in a range three times that size. The lack of an explanation for this spread in the spectrum stands as a longstanding puzzle in particle physics. In this talk we will show how hierarchies in charged fermions and a dark matter mass at the lower end of the allowed spectrum can arise naturally and how to test it. For charged particles we will put to use the clockwork mechanism and for dark matter we will study gravity’s breaking of global symmetry.

Rodrigo Alonso graduated from Universidad Autónoma de Madrid under supervision of Belen Gavela and with a thesis dissertation on ‘Dynamical Yukawa Couplings’ on 2013. Subsequently he held postdoctoral positions at University of California San Diego, the European organization for nuclear research (CERN) and Kavli IPMU at University of Tokyo. Within high energy physics he has conducted the main body of his research on flavour and Higgs physics.