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Role of Bloch Waves in baryon-number violating processes

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arxiv 1812.07181 v3 pith:TXFRJBED submitted 2018-12-18 hep-ph

classification hep-ph
keywords approachbarrierblochsphaleronalphaanalogousapproximationbaryon-number
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In the Bloch-wave approach to estimate the baryon-number-violating scattering cross section in the standard electroweak theory in the laboratory, we clarify the relation between the single sphaleron barrier and multiple (near periodic) sphaleron barrier cases. We explain how a realistic consideration modifies/corrects the idealized Bloch wave and the resonant tunneling approximation. The basic approach is in part analogous to the well-known triple-$\alpha$ process to form carbon in nucleosynthesis.

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Cited by 2 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.

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