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We present a characterization of the sensitivity of TES X-raymicro-calorimeters to environmental conditions under frequency-domainmultiplexing (FDM) readout. In the FDM scheme, each TES in a readout chain isin series with a LC band-pass filter and AC biased with an independent carrierat MHz range. Using TES arrays, cold readout circuitry and warm electronicsfabricated at SRON and SQUIDs produced at VTT Finland, we characterize thesensitivity of the detectors to bias voltage, bath temperature and magneticfield. We compare our results with the requirements for the Athena X-IFUinstrument, showing the compliance of the measured sensitivities. We find inparticular that FDM is intrinsically insensitive to the magnetic field becauseof TES design and AC readout.

Susceptibility study of TES micro-calorimeters for X-ray spectroscopy under FDM readout