Pseudo Nambu-Goldstone Dark Matter

We  consider cases where the dark matter-nucleon interaction is naturally suppressed. We explicitly show that by extending the standard model scalar sector by a number of singlets, can lead to a vanishing direct detection cross section, if some softly broken symmetries are imposed in the dark sector. In particular, we show that the pseudo-Nambu-Goldstone bosons of some softly broken symmetries can constitute the Dark Matter of the Universe, while naturally explaining the missing signal in nuclear recoil experiments.