On the hadronic contribution to sterile neutrino production

Details On the hadronic contribution to sterile neutrino production On the hadronic contribution to sterile neutrino production

2006-05-19

arxiv.org/abs/hep-ph/0605209v2

JHEP 0606 (2006) 053

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages. v2: small clarifications added, published version

Scientific paper

10.1088/1126-6708/2006/06/053

Sterile neutrinos with masses in the keV range are considered to be a viable candidate for warm dark matter. The rate of their production through active-sterile neutrino transitions peaks, however, at temperatures of the order of the QCD scale, which makes it difficult to estimate their relic abundance quantitatively, even if the mass of the sterile neutrino and its mixing angle were known. We derive here a relation, valid to all orders in the strong coupling constant, which expresses the production rate in terms of the spectral function associated with active neutrinos. The latter can in turn be expressed as a certain convolution of the spectral functions related to various mesonic current-current correlation functions, which are being actively studied in other physics contexts. In the naive weak coupling limit, the appropriate Boltzmann equations can be derived from our general formulae.

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