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Crystal calorimeters have a long history of pushing the frontier onhigh-resolution electromagnetic (EM) calorimetry. We explore in this papermajor innovations in collider detector performance that can be achieved withcrystal calorimetry when longitudinal segmentation and dual-readoutcapabilities are combined with a new high EM resolution approach to PFA inmulti-jet events, such as $e^+e^+\rightarrow HZ$ events in all-hadronicfinal-states at Higgs factories. We demonstrate a new technique forpre-processing $\pi^0$ momenta through combinatoric di-photon pairing inadvance of applying jet algorithms. This procedure significantly reduces$\pi^0$ photon splitting across jets in multi-jet events. The correctphoton-to-jet assignment efficiency improves by a factor of 3 with a$3\%/\sqrt{E}$ EM resolution. In addition, the technique of bremsstrahlungphoton recovery significantly improves electron momentum measurements. A highEM resolution calorimeter increases the Z boson recoil mass resolution inHiggstrahlung events for decays into electron pairs to 80% of that for muonpairs. We present the design and optimization of a highly segmented crystaldetector concept that achieves the required energy resolution, and a timeresolution better than 30 ps providing exceptional particle identificationcapabilities. We demonstrate that, contrary to previous detector designs thatsuffered from large neutral hadron resolution degradation from one interactionlength of crystals in front of a sampling hadron calorimeter, theimplementation of dual-readout on crystals permits to achieve a resolutionbetter than $30\%/\sqrt{E}\oplus 2\%$ for neutral hadrons. Our studies findthat the integration of crystal calorimetry into future Higgs factory colliderdetectors can open new perspectives by yielding the highest level of combinedEM and neutral hadron resolution in the PFA paradigm.

New perspectives on segmented crystal calorimeters for future colliders