Consequences of Periodicity and Symmetry for the Beam-Beam Effects in the LHC

The beam-beam interactions in the LHC can be the driving force for non-linear resonances. These interactions are localized around the interaction point and therefore have periodic components which can suppress or enhance certain resonances. This has been analysed by studying the harmonic decomposition of the beam-beam interactions, taking into account both effects, i.e. long range and head on interactions. The consequences of symmetry breaking effects such as phase advance errors have also been studied.