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The simulation of particle cascades initiated in the atmosphere by ultra highenergy cosmic ray particles involves the generation and propagation of a hugeamount of particles. As it is unpractical to follow every particle to its end,particles below a certain energy ($E_{Cut}$) are discarded from the simulation.In this article we study in detail the influence that this cut has on the totalenergy deposited in the atmosphere by the particle cascade in AIRESsimulations. The energy deposit is directly related to the emission offluorescence light and is critical for the accurate simulation of showersignals in fluorescence detectors. Not correcting for the discarded particlesintroduces a bias on several shower observables related to the energy depositthat can range from 3 to 30% or more depending on the $E_{Cut}$ value used. Aprescription for the correct treatment of these particles is proposed, and theresulting corrections to the total energy deposit are addressed, including anew universal parametrization of the mean energy deposit per particle. The lowenergy cut is introduced in the simulations to reduce the required CPU time pershower at the expense of simulation accuracy. We find that a 0.4 MeV cut forelectrons and 0.9 MeV cut for gammas is an adequate compromise, and that theproposed prescription is capablable of removing the bias introduced by thiscut. The prescription is independent of the energy cut value and can be used tocorrect and compare simulations made with different energy cuts.

Discarded low energy particles in extensive air shower simulations: Effect on the shower Energy Deposit