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A series of far-detector programs have been proposed for operation at variousinteraction points of the Large Hadron Collider during the upcoming runs.Investigating the potential and complementarity of these experiments fornew-physics searches goes through the estimation of their sensitivity tospecific long-lived particle models. Here, we present an integrated numericaltool written in the C++ language and called Displaced Decay Counter, which wehave created to this end and which can be used in association with MadGraph5,Pythia8, or any other state-of-the-art Monte-Carlo collider simulation tool.Several far-detector models have been implemented within the program,accounting for the geometry and integrated luminosity of projected detectors.Additional or more accurate designs can be easily constructed through adedicated interface. The functionality of this tool is exemplified through thediscussion of three benchmark scenarios, which we considered for the validationof the implemented detector models.

A C++ program for estimating detector sensitivities to long-lived particles: Displaced Decay Counter