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Asymmetric Chern-Simons number diffusion from CP-violation

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arxiv hep-ph/0202115 v1 pith:DDJM4ULV submitted 2002-02-12 hep-ph

classification hep-ph
keywords chern-simonsnumberasymmetrydiffusionasymmetricdirectionlinearpower
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We study Chern-Simons number diffusion in a SU(2)-Higgs model with CP-odd dimension-eight operators. We find that the thermal average of the magnitude of the velocity of the Chern-Simons number depends on the direction of the velocity. This implies that the distribution function of the Chern-Simons number will develop an asymmetry. It is argued that this asymmetry manifests itself through a linear growth of the expectation value of the third power of the Chern-Simons number. This linear behavior of the third power of a coordinate of a periodic direction is verified by a numerical solution of a one-dimensional Langevin equation. Further, we make some general remarks on thermal averages and on the possibility of the generation of the baryon asymmetry in a non-equilibrium situation due to asymmetric diffusion of the Chern-Simons number.

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  1. Impact of dimension-8 SMEFT operators on baryogenesis via sphaleron decoupling

    hep-ph 2026-08 conditional novelty 6.0 of 10

    Five of seven CP-violating dimension-8 SMEFT operators can individually reproduce the observed baryon asymmetry, with effective new-physics scales near 3-7 TeV.

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