High Energy Physics - Phenomenology · arXiv:hep-ph/0304263 v4 · submitted 28 Apr 2003
Sphaleron relaxation temperatures
The paper says
“It is pointed out that the gauge coupling constants running with energy produces strong and weak sphaleron rates closer to each other at very high temperatures and makes them larger in supersymmetric models than in the standard model case.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
The transition of sphaleron processes from non-equilibrium to thermal equilibrium in the early Universe is examined in detail. The relations between the damping rates and frequencies of the weak and QCD sphaleron degeneracy parameters are determined in general form and the respective relaxation temperatures are calculated in specific scenarios. It is pointed out that the gauge coupling constants running with energy produces strong and weak sphaleron rates closer to each other at very high temperatures and makes them larger in supersymmetric models than in the standard model case.
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. No sentence in this record was written by a model.
abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.98
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.27 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.51 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v4). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| The transition of sphaleron processes from non-equilibrium to thermal equilibrium in the early Universe is examined in detail. | contribution 0.82 | 0.80 | 0.10 | asserted 0.87 |
| The relations between the damping rates and frequencies of the weak and QCD sphaleron degeneracy parameters are determined in general form and the respective relaxation temperatures are calculated in specific scenarios. | contribution 0.59 | 0.91 | 0.37 | asserted 1.00 |
| It is pointed out that the gauge coupling constants running with energy produces strong and weak sphaleron rates closer to each other at very high temperatures and makes them larger in supersymmetric models than in the standard model case. | result 0.80 | 0.64 | 0.29 | asserted 0.98 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98
What was examined, and what was not
Sources read
- arXiv listing abstract v4
Not examined
- full text
- figures and tables
- references and citing sentences
- relations to other papers
Levels run
- P abstract
Not run
- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,973 input tokens, $0.0001 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 5 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- The importance of flavor in leptogenesis hep-ph · Jan 2006
- Feasibility Study of Lepton Number Violation in Rare $B$ and $K$ Meson Decays hep-ph · Jan 2026
- Primordial Lepton Family Asymmtries in Seesaw Model hep-ph · Aug 2003
- Spectator Effects during Leptogenesis in the Strong Washout Regime hep-ph · Apr 2014
- On Higgs and sphaleron effects during the leptogenesis era hep-ph · Dec 2005
How the literature uses it
8 arXiv papers cite this in 12 sentences
Papers citing it · 9 sentences without a confident label
Uses its data or values 1 paper
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Here, we also show a black dashed horizontal line that corresponds to the sphaleron freeze-out temperature $T_sph=130$ GeV [ref] .
A Predictive $SO(10)$ Model · Examples · 0.88
Cites it as background 1 paper
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At temperatures above the scale of the electroweak symmetry breaking, the electroweak sphaleron processes are active, which violate the baryon number $B$ and the lepton number $ℓ$ while keeping $B-ℓ$ conserved [ref] .
Feasibility Study of Lepton Number Violation in Rare $B$ and $K$ Meson Decays · Baryon and lepton number washout in the early Universe · 0.87
Challenges and discussion
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