Numerical simulations of the DC wire prototypes in the LHC for enhancing the HL-LHC performances

For the last 20 years, the compensation of the Beam-Beam Long-Range interactions in colliders using DC wires has been studied. In 2015, in the frame of the HL-LHC project, it has been shown that a compensation of most of the Resonance Driving Terms generated by the BBLR interactions is possible using wires with constraints on their transverse and longitudinal positions. In 2017, an experimental campaign has been launched in the present LHC, with wires installed in sub-optimal positions due to integration constraints. The aim of this paper is therefore to apply the formalism developed for HL-LHC to the LHC case and to compare the experimental results to the numerical tracking studies of the compensation using wires.