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Cosmic Neutrino Bound on the Dark Matter Annihilation Rate in the Late Universe

John F Beacom

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How large can the dark matter self-annihilation rate in the late universe be? This rate depends on (ρDM/mχ)2langleσAvrangle, where ρDM/mχ is the number density of dark matter, and the annihilation cross section is averaged over the velocity distribution. Since the clustering of dark matter is known, this amounts to asking how large the annihilation cross section can be. Kaplinghat, Knox, and Turner proposed that a very large annihilation cross section could turn a halo cusp into a core, improving agreement between simulations and observations; Hui showed that unitarity prohibits this for large dark matter masses. We show that if the annihilation products are Standard Model particles, even just neutrinos, the consequent fluxes are ruled out by orders of magnitude, even at small masses. Equivalently, to invoke such large annihilation cross sections, one must now require that essentially no Standard Model particles are produced.


PACS

96.50.sb Composition, energy spectra and interactions

98.80.-k Cosmology

95.35.+d Dark matter (stellar, interstellar, galactic, and cosmological)

95.30.Cq Elementary particle processes

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 1 (2007)



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