To obtain direct measurements of the muon content of extensive air showers with energy above 101 eV, the Pierre Auger Observatory is currently being equipped with an underground muon detector (UMD), consisting of 219 10 m2-modules, each segmented into 64 scintillators coupled to silicon photomultipliers (SiPMs). Direct access to the shower muon content allows for the study of both of the composition of primary cosmic rays and of high-energy hadronic interactions in the forward direction. As the muon density can vary between tens of muons per m close to the intersection of the shower axis with the ground to much less than one per m when far away, the necessary broad dynamic range is achieved by the simultaneous implementation of two acquisition modes in the read-out electronics: the binary mode, tuned to count single muons, and the ADC mode, suited to measure a high number of them. In this work, we present the end-to-end calibration of the muon detector modules: first, the SiPMs are calibrated by means of the binary channel, and then, the ADC channel is calibrated using atmospheric muons, detected in parallel to the shower data acquisition. The laboratory and field measurements performed to develop the implementation of the full calibration chain of both binary and ADC channels are presented and discussed. The calibration procedure is reliable to work with the high amount of channels in the UMD, which will be operated continuously, in changing environmental conditions, for several years.Fil: Aab, A.. Radboud Universiteit Nijmegen; Países BajosFil: Abreu, P.. Instituto Superior Tecnico; PortugalFil: Aglietta, M.. Istituto Nazionale di Astrofisica; Italia. Istituto Nazionale di Fisica Nucleare; ItaliaFil: Albury, J. M.. University of Adelaide; AustraliaFil: Allekotte, Ingomar. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; ArgentinaFil: Almela, A.. Universidad Tecnológica Nacional; Argentina. Comisión Nacional de Energía Atómica; ArgentinaFil: Alvarez Muñiz, J.. Universidad de Santiago de Compostela; EspañaFil: Alves Batista, R.. Radboud Universiteit Nijmegen; Países BajosFil: Anastasi, G. A.. Università di Torino; Italia. Istituto Nazionale di Fisica Nucleare; ItaliaFil: Anchordoqui, Luis A.. City University of New York; Estados UnidosFil: Andrada, B.. Comisión Nacional de Energía Atómica; ArgentinaFil: Andringa, S.. Instituto Superior Tecnico; PortugalFil: Aramo, C.. Istituto Nazionale di Fisica Nucleare; ItaliaFil: Araújo Ferreira, P. R.. Rwth Aachen University; AlemaniaFil: Arteaga Velázquez, J. C.. Universidad Michoacana de San Nicolás de Hidalgo; MéxicoFil: Asorey, Hernán Gonzalo. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Assis, P.. Instituto Superior Tecnico; PortugalFil: Avila, G.. Comisión Nacional de Energía Atómica; ArgentinaFil: Badescu, A.M.. University Politehnica Of Bucharest; RumaniaFil: Bakalova, A.. Institute Of Physics Of The Czech Academy Of Sciences; República ChecaFil: Balaceanu, A.. “Horia Hulubei” National Institute for Physics and Nuclear Engineering; RumaniaFil: Barbato, F.. Laboratori Nazionali del Gran Sasso; Italia. Gran Sasso Science Institute; ItaliaFil: Barreira Luz, R. J.. Instituto Superior Tecnico; PortugalFil: Becker, K. H.. Bergische Universität Wuppertal; AlemaniaFil: Bellido, J. A.. Universidad Nacional de San Agustin de Arequipa; Perú. University of Adelaide; AustraliaFil: Berat, C.. Universite Grenoble Alpes; FranciaFil: Bertaina, M. E.. Università di Torino; Italia. Istituto Nazionale di Fisica Nucleare; ItaliaFil: Bertou, Xavier Pierre Louis. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Biermann, P. L.. Max Planck Institute For Radio Astronomy; AlemaniaFil: Gollan Scilipotti, Fernando Daniel. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia Física (Centro Atómico Constituyentes). Proyecto Tandar; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentin
