Sphalerons and CP-violation

Details Sphalerons and CP-violation Sphalerons and CP-violation

Jul 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aipc..478..255g&link_type=abstract

Second international workshop on particle physics and the early universe (COSMO-98). AIP Conference Proceedings, Volume 478, pp

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1

Charge Conjugation, Parity, Time Reversal, And Other Discrete Symmetries, Big Bang Nucleosynthesis

Scientific paper

We report here on the effect that CP-violation from a two Higgs doublet potential has on the sphaleron, a field configuration which mediates baryon and lepton number violation in electroweak theories. We parametrized the Higgs potential in terms of physical Higgs masses and mixing angles, one of which is CP-violating. From considering boundedness of potential we were able to derive the allowed range of the CP-violating mixing angle for given Higgs masses. We found the sphaleron and its barrier in the pure SU(2) theory in the presence of CP-violation by extending the usual spherically symmetric ansatz. From the sphaleron solution we used the method of gradient flow to find the static minimum energy path between vacua of the theory with different Chern-Simons number. We determined the sphaleron energy as a function of CP-violating mixing angle and showed that it can increase by 10-20% [1].

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