Ponente
Descripción
It has been recently argued that the presence of any non-SUSY AdS stable vacua implies that a theory cannot be consistently coupled to gravity (Ooguri-Vafa conjecture). The application of this conjecture to the SM and its compactifications to two or three dimensions has lead to interesting predictions on low energy physics. One of these predictions is an upper bound on the Higgs vev, determined by the cosmological constant, that appears when trying to avoid the formation of an AdS minima around the neutrino scale. We will show that, when the number of quark/lepton generations is bigger or equal than three, the Higgs vev is also bounded from below by $\Lambda_{\text{QCD}}$. These bounds force the EW and QCD scale to be relatively close. They also imply that the Higgs vev is stable against quantum corrections, leading to a reassessment of the SM hierarchy problem.
