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VOLUME 83 | ISSUE 4 | PAGE 165
The masses of active neutrinos in the νMSM from X-ray astronomy
A. Boyarsky, A. Neronov+, O. Ruchayskiy*, M. Shaposhnikov^\triangle
CERN, Theory department, Ch-1211 Geneve 23, Switzerland
+INTEGRAL Science Data Center, 1290 Versoix, Switzerland and Geneva Observatory, CH-1290 Sauverny, Switzerland
*Institut des Hautes Études Scientifiques, Bures-sur-Yvette, F-91440, France
^\triangleÉcole Polytechnique Fédérale de Lausanne, Institute of Theoretical Physics, FSB/ITP/LPPC, BSP 720, CH-1015, Lausanne, Switzerland

PACS: 14.60.Pq, 95.35.+d, 98.80.Cq
In an extention of the Standard Model by three relatively light right-handed neutrinos (the νMSM model) the role of the dark matter particle is played by the lightest sterile neutrino. We demonstrate that the observations of the extragalactic X-ray background allow to put a strong upper bound on the mass of the lightest active neutrino and predict the absolute values of the mass of the two heavier active neutrinos in the νMSM, provided that the mass of the dark matter sterile neutrino is larger than 1.8 keV.

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