Beam-beam long-range interactions are known to be a strong source of non-linearities in hadron colliders, undermining the performance of the LHC during proton-proton collisions. In order to enhance the luminosity production of the machine and increase the tolerance of the working point after the High Luminosity upgrade of the LHC (HL-LHC), dedicated correctors such as beam-beam wire compensators can be used. In this paper, the beam dynamics of this compensation problem is studied in details, ultimately showing that the linearity of the machine can be significantly improved throughout the beam core --- and up to several sigmas --- leading to an improvement of the Dynamic Aperture (DA) of the machine. This conclusion is shown to be supported by analytic calculations, dynamic aperture simulation studies, as well as experimental results presented in earlier work. Both nominal and pacman bunches are shown to benefit from the compensation. In the proposed approach, wire compensators can be positioned according to the collimation settings, simplifying their practical implementation in the machine for the HL-LHC era.

Beam-beam long-range interactions are known to be a strong source of non-linearities in hadron colliders, undermining the performance of the LHC during proton-proton collisions. In order to enhance the luminosity production of the machine and increase the tolerance of the working point after the High Luminosity upgrade of the LHC (HL-LHC), dedicated correctors such as beam-beam wire compensators can be used. In this paper, the beam dynamics of this compensation problem is studied in details, ultimately showing that the linearity of the machine can be significantly improved throughout the beam core --- and up to several sigmas --- leading to an improvement of the Dynamic Aperture (DA) of the machine. This conclusion is shown to be supported by analytic calculations, dynamic aperture simulation studies, as well as experimental results presented in earlier work. Both nominal and pacman bunches are shown to benefit from the compensation. In the proposed approach, wire compensators can be positioned according to the collimation settings, simplifying their practical implementation in the machine for the HL-LHC era.