g μ − 2 from Vector-like leptons in warped space

Abstract

Abstract 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 AdS5 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 μ ¯ μ $$ Z\overline{\mu}\mu $$ coupling, oblique observables and constraints on the stability of the electroweak minimum. They impose lower bounds on the compositeness (c ≲ 0.37) and on the mass of the lightest vector-like lepton (≳270 GeV). Vector-like leptons could be easily produced in Drell-Yan processes at the LHC and detected at s = 13 $$ \sqrt{s}=13 $$ TeV.

Keywords

• Phenomenology of Field Theories in Higher Dimensions
• Phenomenology of Large extra dimensions