Fermion Fluctuation Determinant and Sphaleron Bound

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1103/PhysRevD.53.5906

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.

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