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High Energy Physics - Phenomenology · arXiv:1307.4226 v2 · submitted 16 Jul 2013

About the EW contribution to the relation between pole and MS-masses of the top-quark in the Standard Model

Fred Jegerlehner, Mikhail Yu. Kalmykov, Bernd A. Kniehl

The paper says

“We argue, that if vacuum of SM is stable, then there exists an optimal value of renormalization group scale (IR-point), at which the radiative corrections to the matching condition between parameters of Higgs sector and pole masses is minimal or equal to zero.”

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The paper

Abstract

Results of our recent re-analysis of the electroweak contribution to the relation between pole and running masses of top-quark within the Standard Model is reviewed. We argue, that if vacuum of SM is stable, then there exists an optimal value of renormalization group scale (IR-point), at which the radiative corrections to the matching condition between parameters of Higgs sector and pole masses is minimal or equal to zero. Within the available accuracy, we find the IR-point to lie in an interval between value of Z-boson mass and twice the value of W-boson mass. The value of scale is relevant for extraction of Higgs self-coupling from cross-section as well as for construction of effective Lagrangian.

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: hedged possibility 0.48

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.53 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.78 · compares with prior results 0.21 · mentions code or data availability 0.02

The abstract, sentence by sentence

This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.

SentenceRoleThe authors' own workStates the main conclusionStrength
Results of our recent re-analysis of the electroweak contribution to the relation between pole and running masses of top-quark within the Standard Model is reviewed. contribution 0.81 0.64 0.06 asserted 0.76
We argue, that if vacuum of SM is stable, then there exists an optimal value of renormalization group scale (IR-point), at which the radiative corrections to the matching condition between parameters of Higgs sector and pole masses is minimal or equal to zero. interpretation 0.62 0.52 0.73 hedged possibility 0.48
Within the available accuracy, we find the IR-point to lie in an interval between value of Z-boson mass and twice the value of W-boson mass. result 1.00 0.94 0.28 asserted 0.98
The value of scale is relevant for extraction of Higgs self-coupling from cross-section as well as for construction of effective Lagrangian. interpretation 0.99 0.18 0.07 asserted 0.99

What kind of paper the classifier reports this is: review 0.66 · evidence from argument 0.45

What was examined, and what was not

Sources read

  • arXiv listing abstract v2

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, 3,691 input tokens, $0.0002 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 4 Pith papers
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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 · 24 sentences without a confident label

Contests 1 paper
  • At the one-loop level, the relation between the running and the physical Fermi constant is (see Eq.(A.3) in [ref] ): [equation] where $L = lnμ^2/M_X^2$ and $γ_G_F,α$ is defined[In [ref] , the r.h.s. of Eq. (8) should be multiply by the overall factor “$2 ×G_F^$".] in [ref] as $γ_G_F = μ^2 d/d μ^2 lnG_F(μ^2) = β_λ/λ - γ_m^2 = g^2/16 π^2 γ_G_F,α + ⋯.$ From the condition $f^(1)_G,α(μ^2_)=0$, we obtain [equation] For $M_t ∼173-173.5$ and $124 ≤M_H ≤126$, we then find, $μ_^2 ∼M_t^2 ×0.3425 ⇒μ_ ∼101.5 .$ The inclusion of the $O(αα_s)$ correction moves the value of the IR scale to $μ_,G_F^2$: [equation] which for $M_t=173.5$ and $124 ≤M_H ≤126$ and theoretical uncertainties $±5.3$, defines the central value of the IR scale, extracted with $O(α)/O(αα_s)$ accuracy.

    Higgs boson mass and new physics · Introduction · contest 0.85

Uses the method or tool of 2 papers
  • On the same ground we defined the IR scale (we denote it as $μ_,m_H^2$) from the ratio between the running mass $m^2$ and the pole mass of the Higgs boson (see Eq. (A.26) in [ref] , and the discussion in [ref] ).

    Higgs boson mass and new physics · Introduction · 0.81

  • On the same ground we defined the IR scale (we denote it as $μ_,m_H^2$) from the ratio between the running mass $m^2$ and the pole mass of the Higgs boson (see Eq. (A.26) in [ref] , and the discussion in [ref] ).

    A modified naturalness principle and its experimental tests · Introduction · 0.81

Uses data or values from 7 papers
  • Adopting the updated value [ref] , $M_t = 173.3 ±2.8$, (an indirect determination yielded $M_t=175.7^+3.0_-2.2$ [ref] or $M_t=175.8^+2.7_-2.4$ [ref] ) the results of [ref] and [ref] are close to each other: $δM_H^ = ±5.6$ (see also the detailed discussion of [ref] in [ref] ).

    Higgs boson mass and new physics · Introduction · 0.88

  • Adopting the updated value [ref] , $M_t = 173.3 ±2.8$, (an indirect determination yielded $M_t=175.7^+3.0_-2.2$ [ref] or $M_t=175.8^+2.7_-2.4$ [ref] ) the results of [ref] and [ref] are close to each other: $δM_H^ = ±5.6$ (see also the detailed discussion of [ref] in [ref] ).

    Higgs mass and vacuum stability in the Standard Model at NNLO · Introduction · 0.88

  • Adopting the updated value [ref] , $M_t = 173.3 ±2.8$, (an indirect determination yielded $M_t=175.7^+3.0_-2.2$ [ref] or $M_t=175.8^+2.7_-2.4$ [ref] ) the results of [ref] and [ref] are close to each other: $δM_H^ = ±5.6$ (see also the detailed discussion of [ref] in [ref] ).

    The top quark and Higgs boson masses and the stability of the electroweak vacuum · Introduction · 0.88

Compares with 2 papers
  • The main difference between [ref] and [ref] was related to the uncertainties adopted for the input parameters $δM_H^ = ±6$ in [ref] versus $δM_H^ = ±1.5$ in [ref] .

    Higgs boson mass and new physics · Introduction · 0.97

  • The main difference between [ref] and [ref] was related to the uncertainties adopted for the input parameters $δM_H^ = ±6$ in [ref] versus $δM_H^ = ±1.5$ in [ref] .

    Higgs mass and vacuum stability in the Standard Model at NNLO · Introduction · 0.97

Cites as support 1 paper
Cites as background 2 papers

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