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The Sphaleron Rate: Bodeker's Leading Log

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arxiv hep-ph/9810313 v3 pith:IBZD6FHH submitted 1998-10-09 hep-ph hep-lat

Guy D. Moore This is my paper · ORCID
classification hep-phhep-lat
keywords leadingbodekercorrectionskapparatesphaleronalphabaryon
verification ladder T0 review T1 audit T2 compute T3 formal
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Bodeker has recently shown that the high temperature sphaleron rate, which measures baryon number violation in the hot standard model, receives logarithmic corrections to its leading parametric behavior; Gamma = kappa' [log(m_D / g^2 T) + O(1)] (g^2 T^2 / m_D^2) \alpha_W^5 T^4. After discussing the physical origin of these corrections, I compute the leading log coefficient numerically; kappa' = 10.8 pm 0.7. The log is fairly small relative to the O(1) ``correction;'' so nonlogarithmic contributions dominate at realistic values of the coupling.

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Cited by 4 Pith papers

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    A consistent 3D EFT computation of the Higgs phase sphaleron rate yields universal baryon preservation bounds x ≈ 0.025 (strong) and x ≈ 0.036 (weak), and shows two-loop corrections eliminate strong one-step transitio...

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    CosmoLattice v2.0 extends lattice cosmology simulations with non-minimal scalars, ALP–gauge couplings, defect networks, low-storage RK integrators, optimized GWs, and O(10) GPU speedups.

  4. Stochastic relativistic viscous hydrodynamics from the Metropolis algorithm

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    A Metropolis Monte Carlo algorithm is shown analytically to reproduce stochastic relativistic viscous hydrodynamics in the Density Frame, with extension to Bjorken and general coordinates.

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