Our team in collaboration with scientists from the USA (University of Virginia and the Space Science Center of the University of Washington) and Germany (Max Planck Institute in Munich) published an article in the prestigious journal Progress in Particle and Nuclear Physics. The work concerns the analysis of models aimed at explaining what types of new symmetries can be used to understand the observed properties of oscillations of three types of neutrinos. The work considers so-called discrete symmetries, such as the A4 symmetry (such symmetries are used in physics, for example, to describe a diamond crystal) or more abstract symmetries based on modular groups https://en.wikipedia.org/wiki/Modular_group. These models imply the existence of new types of particles, which, in addition to describing the properties of masses and quantum mixing states of the known “flavors” of electron, muon and tau neutrinos, can also explain several cosmological observations such as matter-antimatter asymmetry in space (decays of new massive neutrinos) or the problem of dark matter (the paper considers implications derived from the interactions of spinless Higgs particles and additional fermions). The phenomenology of possible processes associated with discrete particle symmetries is very rich. Some symmetries are studied in particle colliders (e.g. LHC) or in the context of observing gravitational waves or exotic nuclear decays (e.g. neutrinoless double beta decay of nuclei). The work was carried out as part of the Opus grant of the National Science Centre “Non-standard neutrinos and CP-violating effects in the leptonic sector” (short description of the project in Polish: https://projekty.ncn.gov.pl/opisy/482538-pl.pdf). On the Polish side, the following participated in the work: Janusz Gluza (team coordinator), Szymon Zięba, Krzysztof Grzanka (PhD students), Biswajit Karmakar (postdoc), Ievgen Dubovyk, Bartosz Dziewit (assistant professors at the Faculty of Science and Technology, University of Silesia). Link to the work in the journal https://www.sciencedirect.com/science/article/pii/S0146641024000309 and the public version of the article in the Inspires HEP high-energy works repository https://inspirehep.net/literature/2715897