LSND versus MiniBooNE: sterile neutrinos with energy dependent masses and mixing?

Standard active-sterile neutrino oscillations do not provide a satisfactory description of the LSND evidence for neutrino oscillations together with the constraints from MiniBooNE and other null-result short-baseline oscillation experiments. However, if the mass or the mixing of the sterile neutrino depends in an exotic way on its energy all data become consistent. I explore the phenomenological consequences of the assumption that either the mass or the mixing scales with the neutrino energy as 1/E-v(r) (r > 0). Since the neutrino energy in LSND is about 40MeV, whereas MiniBooNE operates at around 1GeV, oscillations get suppressed in MiniBooNE and the two results become fully compatible for r greater than or similar to 0.2. Furthermore, also the global fit of all relevant data improves significantly by exploring the different energy regimes of the various experiments. The best fit chi(2) decreases by 12.7 (14.1) units with respect to standard sterile neutrino oscillations if the mass (mixing) scales with energy.