Characterization of the $^{163}$Ho Electron Capture Spectrum: A Step Towards the Electron Neutrino Mass Determination

The isotope $^{163}$Ho is in many ways the best candidate to perform experiments to investigate the value of the electron neutrino mass. It undergoes an electron capture process to $^{163}$Dy with an energy available to the decay, Q$_{EC}$, of about 2.8 keV. According to the present knowledge, this is the lowest Q$_{EC}$ value for such transitions. Here we discuss a newly obtained spectrum of $^{163}$Ho, taken by cryogenic metallic magnetic calorimeters with $^{163}$Ho implanted in the absorbers and operated in anticoincident mode for background reduction. For the first time, the atomic deexcitation of the $^{163}$Dy daughter atom following the capture of electrons from the 5s shell in $^{163}$Ho, the OI line, was observed with a calorimetric measurement. The peak energy is determined to be 48 eV. In addition, a precise determination of the energy available for the decay Q$_{EC}$=(2.858±0.010$_{stat}$±0.05$_{syst}$)  keV was obtained by analyzing the intensities of the lines in the spectrum. This value is in good agreement with the measurement of the mass difference between $^{163}$Ho and $^{163}$Dy obtained by Penning-trap mass spectrometry, demonstrating the reliability of the calorimetric technique.