Fermion Fluctuation Determinant and Sphaleron Bound

Abstract

We investigate analytically the fermionic fluctuation determinant at finite temperatures in the minimal standard model, including all operators up to dimension 6 and all contributions to the effective potential to all orders in the high $T$ expansion, to 1 loop. We apply the results to find corrections to the Sphaleron erasure rate in the broken phase. We conclude that the analytic treatment of fermions is very reliable and that there is a great deal of baryon erasure after the phase transition for any physical Higgs mass.

21 pages, latex, 1 figure. Very minor revisions from first revised version--can you find them?

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• Baryon and lepton number violation rates across the electroweak crossover
• Effective field theory approach to thermal bubble nucleation
• High Temperature Dimensional Reduction and Parity Violation
• Sphalerons in Two Higgs Doublet Theories
• Higher-dimensional operators at finite-temperature affect gravitational-wave predictions
• Dressing Up the Kink
• Possible Role of the WZ-Top-Quark Bags in Baryogenesis
• Non-perturbative determination of the sphaleron rate for first-order phase transitions
• Sphaleron Transition Rate in Presence of Dynamical Fermions
• Hot news on the phase structure of the SMEFT