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We define a minimal model of dark matter with a fermion singlet $\chi$coupled to the visible sector through the Higgs portal and with a heavy Diracneutrino $N$ that opens the annihilation channel $\chi \chi \to N \nu$. Themodel provides the observed relic abundance consistently with bounds fromdirect searches and implies a monochromatic neutrino signal at 10 GeV-1 TeV inindirect searches. In particular, we obtain the capture rate of $\chi$ by theSun and show that the signal could be above the "neutrino floor" produced bycosmic rays showering in the solar surface. In most benchmark models this solarastrophysical background is above the expected dark matter signal, so the modelthat we propose is a canonical example of WIMP not excluded by direct searchesthat could be studied at neutrino telescopes and also at colliders.

Monochromatic neutrinos from dark matter through the Higgs portal