Correction Schemes for the Normal Octupole and Decapole Errors in the LHC Dipoles

Different correction schemes for curing the effect of the normal octupole and decapole multipole errors of the LHC main dipoles, at injection, are investigated. Frequency and diffusion maps are constructed and compared for two working points and for different values of the momentum deviation. The excitation of individual resonant driving terms is estimated through high order normal form construction techniques. The resonance analysis results are finally verified through short-term element by element tracking.