Influence of vertical dispersion and crossing angle on the performance of the LHC

Misalignments, magnetic field deviations and the beam crossing angle induce closed orbit deviations and residual dispersion at the interaction points of the LHC. These in turn excite synchro-betatron resonances. We present a numerical investigation of these effects and their influence on the luminosity. Bunch length effects are important and are included in the model by means of the numerical code BBC. The crossing angle excites resonances that increase particle amplitudes when the tunes are near resonance while vertical dispersion changes the resonance strength. The influence on the beam core size is studied. For the nominal LHC working point, a 13th-order resonance may be crossed by the particles in the beam. The width of the synchrotron sidebands are evaluated