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In addition to three active neutrinos, one or more light sterile neutrinoshave been conjectured to account for the LSND, MiniBooNE and reactorantineutrino anomalies (at the sub-eV mass scale) or for warm dark matter inthe Universe (at the keV mass scale). Heavy Majorana neutrinos at or above theTeV scale have also been assumed in some seesaw models. Such hypotheticalparticles can weakly mix with active neutrinos, and thus their existence can bedetected at low energies. In the (3+3) scenario with three sterile neutrinos wepresent a full parametrization of the 6 X 6 flavor mixing matrix in terms offifteen rotation angles and fifteen phase angles. We show that this standardparametrization allows us to clearly describe the salient features of someproblems in neutrino phenomenology, such as (a) possible contributions of lightsterile neutrinos to the tritium beta decay and neutrinoless double-beta decay;(b) leptonic CP violation and deformed unitarity triangles of the 3 X 3 flavormixing matrix of three active neutrinos; (c) a reconstruction of the 6 X 6neutrino mass matrix in the type-(I+II) seesaw mechanism; and (d) flavored andunflavored leptogenesis scenarios in the type-I seesaw mechanism with threeheavy Majorana neutrinos.

A full parametrization of the 6 X 6 flavor mixing matrix in the presence of three light or heavy sterile neutrinos