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O(\alpha \alpha_s) correction to the pole mass of the t-quark within the Standard Model
High Energy Physics - Phenomenology · Submitted 21 Aug 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We have calculated the O(\alpha \alpha_s) contributions to the relationship between the MS-mass and the pole of the t-quark propagator in the Standard Model in the limit of a diagonal CKM matrix and for a massless b-quark.
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The abstract, sentence by sentence
We have calculated the O(\alpha \alpha_s) contributions to the relationship between the MS-mass and the pole of the t-quark propagator in the Standard Model in the limit of a diagonal CKM matrix and for a massless b-quark. Analytical results for the so far unknown master-integrals appearing in the calculation are also given.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We have calculated the O(\alpha \alpha_s) contributions to the relationship between the MS-mass and the pole of the t-quark propagator in the Standard Model in the limit of a diagonal CKM matrix and for a massless b-quark. | contribution 0.96 | 0.96 | 0.75 | asserted 1.00 |
| s1 | Analytical results for the so far unknown master-integrals appearing in the calculation are also given. | result 0.59 | 0.93 | 0.10 | asserted 1.00 |
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The paper
Original abstract
We have calculated the O(\alpha \alpha_s) contributions to the relationship between the MS-mass and the pole of the t-quark propagator in the Standard Model in the limit of a diagonal CKM matrix and for a massless b-quark. Analytical results for the so far unknown master-integrals appearing in the calculation are also given.
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References
How the literature uses it
21 arXiv papers cite this in 32 sentences
Papers citing it · 18 sentences without a confident label
Uses its method or tool 5 papers
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The pole masses of the top quark, Higgs particle, and $W,Z$ particles are translated into the input values of the top Yukawa coupling, the Higgs quartic coupling and the weak mixing angle for the RG equations by using the code [ref] , based on the results of [ref] .
Are Low-energy Data already Hinting at Five Dimensions? · Estimation of Vector-like Fermion Mass and Compactification Scale · 1.00
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The one-loop matching condition for the quartic coupling has previously been computed in Ref. [ref] and combined with the tool [ref] which performs an OS-conversion and RGE running of all SM parameters incorporating all state-of-the-art higher-order corrections [ref] (see also [ref] , where the OS-conversion formulae for the SM Higgs, top Yukawa, and gauge couplings have been computed at $αα_s$).
Higgs Mass Predictions in the CP-Violating High-Scale NMSSM · Numerical Validation and Comparison with Previous Works · 0.87
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To calculate this at the scale $M_t$, we have included the QCD corrections up to three loops [ref] , electroweak corrections up to one-loop [ref] and the $O(αα_s)$ corrections to the matching of top Yukawa and top pole mass [ref] .
Constraining minimal Type-III Seesaw Model from naturalness, Lepton Flavor Violation and Electroweak Vacuum stability · Vacuum Stability · 0.82
Uses its data or values 3 papers
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In our analysis, the conversions will be carried out from the pole masses of $t$ [ref] , $τ$, $μ$ and $e$ [ref] to their $MS$ running masses, while the pole masses of $h$ [ref] and $Z$ [ref] have been used to determine the relevant $MS$ running couplings.
Precise Values of Running Quark and Lepton Masses in the Standard Model · Theoretical framework · 0.92
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The approximate values of the $𝒪(αα_s)$ and $𝒪(α^2)$ terms follow directly from the results of Refs. [ref] .
Notes on interplay of the QCD and EW perturbative corrections to the pole-running top-quark mass ratio · Higher-order estimates · 0.98
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However, as no large logarithms are involved here, and the gauge coupling is already significantly smaller than the strong coupling at the EW scale, we assume these effects as uncertainties in the calculation.] As the starting point for the evolution, we take the following initial values of the SM parameters at the top scale, above the top threshold (i.e. with 6 active flavours) in the $MS$-scheme [ref] [equation] We evolve the couplings using the $β$-functions of the SM up to the LQ scale $m_x$ (with $x=1,1̃, 2,2̃,3$).
Renormalization Group Evolution with Scalar Leptoquarks · Renormalization Group Evolution and Phenomenological Analysis · 0.91
Compares with it 1 paper
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Since our input for the pole mass of the top-quark distinguishes slightly from those, used in [ref] , the discussed two-loop contributions are also distinct a bit from their counterparts obtained there.
Notes on interplay of the QCD and EW perturbative corrections to the pole-running top-quark mass ratio · Higher-order estimates · 0.93
Cites it as support 1 paper
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As has already been pointed out in the works [ref] , the EW effects are not negligible for the relation between the pole and running top-quark masses within the most natural from our point of view Fleischer-Jegerlehner (FJ) scheme [ref] .
Notes on interplay of the QCD and EW perturbative corrections to the pole-running top-quark mass ratio · Introduction · 0.99
Cites it as background 3 papers
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The two-loop mixed $O(αα_s)$ corrections were provided for the bottom quark in Ref. [ref] and for the top quark in Ref. [ref] .
Two-loop electroweak threshold corrections in the Standard Model · Introduction · 0.88
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[ref] , with the pure QED corrections known up to three loops [ref] .
Three-loop QCD+QED corrections to on-shell quark renormalization · Introduction · 0.87
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Recently, a number of pioneering works and elegant algorithms [ref] devoted to construction or explicit evaluation of coefficients of analytic epsilon expansion of hypergeometric functions around integer, half-integer and rational values of parameters.
NumExp: Numerical epsilon expansion of hypergeometric functions · Introduction · 0.90
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