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Published March 4, 2009 | Published
Journal Article Open

The effect of the sparticle mass spectrum on the conversion of B−L to B

Abstract

In the context of many leptogenesis and baryogenesis scenarios, B−L (baryon minus the lepton number) is converted into B (baryon number) by non-perturbative B+L violating operators in the SU(2)_L sector. We correct a common misconversion of B−L to B in the literature in the context of supersymmetry. More specifically, kinematic effects associated with the sparticle masses can be generically important (typically a factor of 2/3 correction in mSUGRA scenarios), and in some cases, it may even flip the sign between B−L and B. We give explicit formulae for converting B−L to B for temperatures approaching the electroweak phase transition temperature from above. Enhancements of B are also possible, leading to a mild relaxation of the reheating temperature bounds coming from gravitino constraints.

Additional Information

© 2009 IOP Publishing Ltd and SISSA. Received 12 August 2008, accepted for publication 28 January 2009. Published 4 March 2009. We thank M. Ramsey-Musolf for discussions and collaboration on a related project which led to this work. We thank the hospitality of KIAS where part of this work was completed. The work of DJHC and BG is supported by the DOE Outstanding Junior Investigator Program through grant DE-FG02-95ER40896. In addition, the work of BG is also supported by the U.S. Department of Energy contract No. DE-FG02-08ER41531 and by the Wisconsin Alumni Research Foundation.

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