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Bloch Wave Function for the Periodic Sphaleron Potential and Unsuppressed Baryon and Lepton Number Violating Processes

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arxiv 1505.03690 v3 pith:6EUKRBAG submitted 2015-05-14 hep-th hep-ph

S.-H. Henry Tye , Sam S.C. Wong This is my paper · ORCID
classification hep-thhep-ph
keywords numberprocessessphaleronblochfunctionperiodicpotentialviolating
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For the periodic sphaleron potential in the electroweak theory, we find the one-dimensional time-independent Schr\"{o}dinger equation with the Chern-Simons number as the coordinate, construct the Bloch wave function and determine the corresponding conducting (pass) band structure. We show that the baryon-lepton number violating processes can take place without the exponential tunneling suppression (at zero temperature) at energies around and above the barrier height (sphaleron energy) at 9.0 TeV. Phenomenologically, probable detection of such processes at LHC is discussed.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. Electroweak Baryogenesis: Advances in Sphaleron Rate Calculations and Implications of Thermal Phase Transitions

    hep-ph 2026-07 conditional novelty 5.0 of 10

    Sphaleron rates can be computed gauge-invariantly in 3D thermal EFT, yielding a new baryon-washout criterion x = lambda3/g3^2 that replaces v_c/T_c > 1 for electroweak baryogenesis.

  3. The Electroweak Sphaleron Revisited: II. Study of Decay Dynamics

    hep-ph 2025-05 conditional novelty 4.0 of 10

    Classical simulations of electroweak sphaleron decay yield roughly 49 W bosons and 4 Higgs bosons, with transverse W modes carrying about 80% of the energy.

  4. The Electroweak Sphaleron Revisited: I. Static Solutions, Energy Barrier, and Unstable Modes

    hep-ph 2025-05 conditional novelty 4.0 of 10

    Using the measured Higgs mass, the electroweak sphaleron has energy 9.08 TeV and one unstable mode with ω²₋ = -2.7 m_W².

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