Quantum black holes and their lepton signatures at the LHC with CalCHEP

We discuss a field theoretical framework to describe the interactions of non-thermal quantum black holes (QBHs) with particles of the Standard Model. We propose a non-local Lagrangian to describe the production of these QBHs which is designed to reproduce the geometrical cross section πr s 2 for black hole production where r s is the Schwarzschild radius. This model is implemented into CalcHEP package and is publicly available at the High Energy Model Database (HEPMDB) for simulation of QBH events at the LHC and future colliders. We present the first phenomenological application of the QBH@HEPMDB model with spin-0 neutral QBH giving rise the e + e − and e μ $$ \mu $$ signatures at the LHC@8TeV and LHC@13TeV and produce the respective projections for the LHC in terms of limits on the reduced Planck mass, M ¯ PL $$ {\overline{M}}_{PL} $$ and the number of the extra-dimensions n