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Computing the trajectories of particles in generic beamlines is an importantingredient of experimental particle physics, in particular regarding near-beamdetectors. A new tool, Hector, has been built for such calculations, using thetransfer matrix approach and energy corrections. The limiting aperture effectsare also taken into account. As an illustration, the tool was used to simulatethe LHC beamlines, in particular around the high luminosity interaction points(IPs), and validated with results of the Mad-X simulator. The LHC beamprofiles, trajectories and beta functions are presented. Assuming certainforward proton detector scenarios around the IP5, acceptance plots, irradiationdoses and chromaticity grids are produced. Furthermore, the reconstruction ofproton kinematic variables at the IP (energy and angle) is studied as well asthe impact of the misalignment of beamline elements.

Hector, a fast simulator for the transport of particles in beamlines