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Fast-pairwise neutrino oscillations potentially affect many aspects ofcore-collapse supernova (CCSN): the explosion mechanism, neutrino signals, andnucleosynthesis in the ejecta. This particular mode of collective neutrinooscillations has a deep connection to the angular structure of neutrinos inmomentum space; for instance, the appearance of electron neutrinos leptonnumber (ELN) angular crossings in momentum space is a good indicator ofoccurrences of the flavor conversions. However, many multi-dimensional(multi-D) CCSN simulations are carried out with approximate neutrino transport(such as two-moment methods), which limits the access to the angulardistributions of neutrinos, i.e., inhibits ELN-crossing searches. In thispaper, we develop a new method of ELN-crossing search in these CCSNsimulations. The required data is the zero-th and first angular moments ofneutrinos and matter profile, all of which are available in CCSN models withtwo-moment method. One of the novelties of our new method is to use aray-tracing neutrino transport to determine ELNs in the direction of thestellar center. It is designed to compensate for shortcomings of the crossingsearches only with the two angular moments. We assess the capability of themethod by carrying out a detailed comparison to results of full Boltzmannneutrino transport in 1D and 2D CCSN models. We find that the ray-tracingneutrino transport improves the accuracy of crossing searches; indeed, theappearance/disappearance of the crossings is accurately detected even in theregion of forward-peaked angular distributions. The new method iscomputationally cheap and has a benefit of efficient parallelization; hence, itwill be useful for ELN-crossing searches in any CCSN models employed two-momentneutrino transport.

New method for detecting fast neutrino flavor conversions in core-collapse supernova models with two-moment neutrino transport