Procedures and first investigation of the power radiated by proton-proton collisions into an early separation dipole for the LHC Luminosity Upgrade

In this note, a simplified model of a proton-proton collisions and a dipole is used to investigate the variation of the impinging energy versus the distance to the interaction point (IP) and the dipole inner coil diameters. Contrary to expectation, the impinging energy is not seen to vary significantly with the distance to the IP and even tends to decrease when the distance is decreased. On the contrary, the inner coil diameter is a sensitive parameter. In order to understand these observations and allow predictions, the losses and their variations are analysed in terms of secondary particle types and energy spectrum. For any designed optical set up, it gives some hints on the critically ‘ hot' regions.