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The sphaleron rate through the electroweak cross-over

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Abstract

Using lattice simulations, we measure the sphaleron rate in the Standard Model as a function of temperature through the electroweak cross-over, for the Higgs masses m H  = 115 and m H  = 160 GeV. We pay special attention to the shutting off of the baryon rate as the temperature is lowered. This quantity enters computations of Baryogenesis via Leptogenesis, where non-zero lepton number is converted into non-zero baryon number by equilibrium sphaleron transitions. Combining existing numerical methods applicable in the symmetric and broken electroweak phases, we find the temperature dependence of the sphaleron rate at very high temperature, through the electroweak cross-over transition, and deep into the broken phase.

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Authors and Affiliations

  1. Department of Physics and Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, FIN-00014, Helsinki, Finland

    Michela D’Onofrio & Kari Rummukainen

  2. Niels Bohr International Academy, Blegdamsvej 17, 2100, Copenhagen, Denmark

    Anders Tranberg

Authors
  1. Michela D’Onofrio
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  2. Kari Rummukainen
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  3. Anders Tranberg
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Correspondence to Michela D’Onofrio.

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ArXiv ePrint: 1207.0685

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D’Onofrio, M., Rummukainen, K. & Tranberg, A. The sphaleron rate through the electroweak cross-over. J. High Energ. Phys. 2012, 123 (2012). https://doi.org/10.1007/JHEP08(2012)123

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