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Published January 15, 2011 | Published
Journal Article Open

Dark matter, baryon asymmetry, and spontaneous B and L breaking

Abstract

We investigate the dark matter and the cosmological baryon asymmetry in a simple theory where baryon (B) and lepton (L) number are local gauge symmetries that are spontaneously broken. In this model, the cold dark matter candidate is the lightest new field with baryon number and its stability is an automatic consequence of the gauge symmetry. Dark matter annihilation is either through a leptophobic gauge boson whose mass must be below a TeV or through the Higgs boson. Since the mass of the leptophobic gauge boson has to be below the TeV scale, one finds that in the first scenario there is a lower bound on the elastic cross section of about 5×10^(-46)  cm^2. Even though baryon number is gauged and not spontaneously broken until the weak scale, a cosmologically acceptable baryon excess is possible. There can be a tension between achieving both the measured baryon excess and the dark matter density.

Additional Information

© 2011 American Physical Society. Received 12 May 2010; revised 1 October 2010; published 24 January 2011. We would like to thank L. Randall for discussions and careful reading of the manuscript. The work of P.F.P. was supported in part by the U.S. Department of Energy Contract No. DE-FG02-08ER41531 and in part by the Wisconsin Alumni Research Foundation. The work of M.B.W. was supported in part by the U.S. Department of Energy under Contract No. DE-FG02-92ER40701. P.F.P. would like to thank Caltech for hospitality and support.

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