gμ-2 from Vector-like leptons in warped space

The experimental value of the anomalous magnetic moment of the muon, as well as the LHCb anomalies, point towards new physics coupled non-universally to muons and electrons. Working in extra dimensional theories, which solve the electroweak hierarchy problem with a warped metric, strongly deformed with respect to the AdS(5) geometry at the infra-red brane, the LHCb anomalies can be solved by imposing that the bottom and the muon have a sizable amount of compositeness, while the electron is mainly elementary. Using this set-up as starting point we have proven that extra physics has to be introduced to describe the anomalous magnetic moment of the muon. We have proven that this job is done by a set of vector-like leptons, mixed with the physical muon through Yukawa interactions, and with a high degree of compositeness. The theory is consistent with all electroweak indirect, direct and theoretical constraints, the most sensitive ones being the modification of the Z (mu) over bar mu coupling, oblique observables and constraints on the stability of the electroweak minimum. They impose lower bounds on the compositeness (c less than or similar to 0.37) and on the mass of the lightest vector-like lepton (greater than or similar to 270 GeV). Vector-like leptons could be easily produced in Drell-Yan processes at the LHC and detected at root s - 13TeV.