Crilin: A CRystal calorImeter with Longitudinal InformatioN for a future Muon Collider

The measurement of physics processes at new energy frontier experiments requires excellent spatial, time, and resolutions to resolve the structure collimated high-energy jets. In a future Muon Collider, beam-induced backgrounds (BIB) represent main challenge in design detectors event reconstruction algorithms. technology calorimeters should be chosen reduce effect BIB, while keeping good performance. Several requirements can inferred: i) high granularity overlap BIB particles same calorimeter cell; ii) timing (of order 100 ps) out-of-time component BIB; iii) longitudinal segmentation distinguish signal showers from fake produced by iv) resolution (less than 10%/sqrt(E)) obtain performance, as has been already demonstrated for conceptual particle flow calorimeters. Our proposal consists semi-homogeneous electromagnetic based on Lead Fluoride Crystals (PbF2) readout surface-mount UV-extended Silicon Photomultipliers (SiPMs): Crilin calorimeter. this paper, performances Collider framework hadron jets have analyzed. We report single components characterizations together with development small-scale prototype, consisting 2 layers 3x3 crystals each.