Higher curvature gravity at the LHC

Abstract

We investigate brane-world models in different viable $F(R)$ gravity theories where the Lagrangian is an arbitrary function of the curvature scalar. Deriving the warped metric for this model, resembling Randal-Sundrum (RS) like solutions, we determine the graviton KK modes. The recent observations at the LHC, which constrain the RS graviton KK modes to a mass range greater than 3 TeV, are incompatible to RS model predictions. It is shown that the models with $F(R)$ gravity in the bulk address the issue which in turn constrains the $F(R)$ model itself.