Strong-Strong Beam-Beam Simulation of Crab Cavity Compensation at LHC

Crab cav­i­ty is pro­posed to com­pen­sate the ge­o­met­ric lu­mi­nos­i­ty loss of cross­ing angle col­li­sion at LHC up­grade. In this paper, we re­port on strong-strong beam-beam sim­u­la­tion of crab cav­i­ty com­pen­sa­tion at LHC using the Beam­Beam3D code. Sim­u­la­tion re­sults showed that using a pair of local com­pen­sa­tion for each beam could sig­nif­i­cant­ly im­prove the beam lu­mi­nos­i­ty at col­li­sion. How­ev­er, this im­prove­ment could be lost with ran­dom off­set er­rors from the RF de­flec­tion cav­i­ties.