A radiative seesaw in a non-holomorphic modular $S_3$ flavor symmetry

We study a non-holomorphic modular $S_3$ flavor symmetry in which we analyze neutrino sector, dark matter, and lepton flavor violations. The active neutrino mass is generated via one-loop level. We achieve chi-square analysis and demonstrate some predictions in cases of normal hierarchy with fermionic or bosonic dark matter and inverted hierarchy of fermionic or bosonic dark matter.