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Large mixing angles in a SU(2)_L gauge theory of weak interactions as a resonant effect of 1-loop transitions between quasi-degenerate fermions

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Bruno Machet (LPTHE)

High Energy Physics - Phenomenology · Submitted 11 May 2009

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that 1-loop transitions between two quasi-degenerate fermions can induce a potentially large renormalization of their mixing angle, and a large renormalized Cabibbo (or PMNS) angle when the second fermion pair in the same two generations is far from degeneracy.

how it is stated · asserted 0.73 read the record →

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arXiv ID0905.1569 (version 1)
Pith IDTGOK5K7X, Pith's permanent record of this paper and its review
CitationBruno Machet (LPTHE). "Large mixing angles in a SU(2)_L gauge theory of weak interactions as a resonant effect of 1-loop transitions between quasi-degenerate fermions." arXiv:0905.1569 (2009). https://pith.science/paper/TGOK5K7X
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The compiled record

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. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,053 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.58 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.16 · compares with prior results 0.23 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We show that 1-loop transitions between two quasi-degenerate fermions can induce a potentially large renormalization of their mixing angle, and a large renormalized Cabibbo (or PMNS) angle when the second fermion pair in the same two generations is far from degeneracy. At the resonance, the "Cabibbo angle" gets maximal and simply connected to masses without invoking any new physics beyond the standard model. This solution appears as the only one "perturbatively stable" (mixing angles are then renormalized with respect to their classical values by small amounts).

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We show that 1-loop transitions between two quasi-degenerate fermions can induce a potentially large renormalization of their mixing angle, and a large renormalized Cabibbo (or PMNS) angle when the second fermion pair in the same two generations is far from degeneracy. result 0.77 0.90 0.82 asserted 0.73
s1 At the resonance, the "Cabibbo angle" gets maximal and simply connected to masses without invoking any new physics beyond the standard model. result 0.77 0.77 0.38 asserted 1.00
s2 This solution appears as the only one "perturbatively stable" (mixing angles are then renormalized with respect to their classical values by small amounts). interpretation 0.57 0.76 0.16 asserted 0.79

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.95.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
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

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We show that 1-loop transitions between two quasi-degenerate fermions can induce a potentially large renormalization of their mixing angle, and a large renormalized Cabibbo (or PMNS) angle when the second fermion pair in the same two generations is far from degeneracy. At the resonance, the "Cabibbo angle" gets maximal and simply connected to masses without invoking any new physics beyond the standard model. This solution appears as the only one "perturbatively stable" (mixing angles are then renormalized with respect to their classical values by small amounts).

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What this paper does with the arXiv papers it cites

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 1 sentence without a confident label

Cites as background 1 paper

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