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Decoupling of the $\epsilon$-scalar mass in softly broken supersymmetry
High Energy Physics - Phenomenology · Submitted 14 Jul 1994
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find, however, that the dependence on $\tilde{m}^2$ can be completely removed by slightly modifying the \drbar renormalization scheme.
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The abstract, sentence by sentence
It has been shown recently that the introduction of an unphysical $\epsilon$-scalar mass $\tilde{m}$ is necessary for the proper renormalization of softly broken supersymmetric theories by dimensional reduction ($\drbar$). In these theories, both the two-loop $\beta$-functions of the scalar masses and their one-loop finite corrections depend on $\tilde{m}^2$. We find, however, that the dependence on $\tilde{m}^2$ can be completely removed by slightly modifying the \drbar renormalization scheme. We also show that previous \drbar calculations of one-loop corrections in supersymmetry which ignored the $\tilde{m}^2$ contribution correspond to using this modified scheme.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | It has been shown recently that the introduction of an unphysical $\epsilon$-scalar mass $\tilde{m}$ is necessary for the proper renormalization of softly broken supersymmetric theories by dimensional reduction ($\drbar$). | background 1.00 | 0.04 | 0.06 | asserted 1.00 |
| s1 | In these theories, both the two-loop $\beta$-functions of the scalar masses and their one-loop finite corrections depend on $\tilde{m}^2$. | background 0.95 | 0.15 | 0.05 | asserted 1.00 |
| s2 | We find, however, that the dependence on $\tilde{m}^2$ can be completely removed by slightly modifying the \drbar renormalization scheme. | result 0.98 | 0.96 | 0.85 | asserted 1.00 |
| s3 | We also show that previous \drbar calculations of one-loop corrections in supersymmetry which ignored the $\tilde{m}^2$ contribution correspond to using this modified scheme. | interpretation 0.59 | 0.75 | 0.13 | asserted 1.00 |
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The paper
Original abstract
It has been shown recently that the introduction of an unphysical $\epsilon$-scalar mass $\tilde{m}$ is necessary for the proper renormalization of softly broken supersymmetric theories by dimensional reduction ($\drbar$). In these theories, both the two-loop $\beta$-functions of the scalar masses and their one-loop finite corrections depend on $\tilde{m}^2$. We find, however, that the dependence on $\tilde{m}^2$ can be completely removed by slightly modifying the \drbar renormalization scheme. We also show that previous \drbar calculations of one-loop corrections in supersymmetry which ignored the $\tilde{m}^2$ contribution correspond to using this modified scheme.
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References
How the literature uses it
32 arXiv papers cite this in 45 sentences
Papers citing it · 31 sentences without a confident label
Uses its method or tool 9 papers
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For quantitative estimations we performed numerical analysis where the soft terms are pulled down to the low-energy scale using 2-loop RGEs [ref] with the low-energy input [ref] .
CEDM constraints on modified sfermion universality and spontaneous CP violation · Quantitative evaluations · 1.00
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The computation has been done using the $DR'$ scheme defined in [ref] .
Running soft parameters in SUSY models with multiple U(1) gauge factors · Results · 0.95
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[ref] with additional 3-loop contributions from refs.
Application of the 3-Loop FlexibleEFTHiggs Method to the MSSM and the NMSSM · The FlexibleEFTHiggs method · 0.80
Uses its data or values 1 paper
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In our approximation the finite shift is needed up to two loops which is given by [ref] [equation] where $f=t$ or $f=q$.[Of course, $T_f$ is not altered.] We have checked that after inserting this shift in $γ_m_t̃_1$, $γ_m_t̃_2$ and $γ_m_q̃$ the parameter $m_ϵ$ drops out from the resulting anomalous dimension.
Three-loop anomalous dimensions for squarks in supersymmetric QCD · Results · 0.85
Cites it as background 2 papers
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These equations are extensively discussed in literature, see e.g. [ref] .
Automatic Calculation of supersymmetric Renormalization Group Equations and Self Energies · Renormalization group equations · 0.96
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Please also note that if the parameters are input in a different scheme then one may need to modify these corrections, see e.g. section 3 of Ref. [ref] for a review of the known one-loop corrections in the , [ref] and $DR^'$ [ref] schemes in the Landau gauge.
PhaseTracer: tracing cosmological phases and calculating transition properties · Constructing the effective potential · 0.87
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