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Regularization Dependence of Running Couplings in Softly Broken Supersymmetry

High Energy Physics - Phenomenology · Submitted 4 Aug 1993

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The authors' main claim We find expressions for the differences between running couplings in the modified minimal subtraction schemes of these two regularization methods, to one loop order.

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arXiv IDhep-ph/9308222 (version 2)
Pith IDAWTGUNA6, Pith's permanent record of this paper and its review
CitationMichael T. Vaughn, Stephen P. Martin. "Regularization Dependence of Running Couplings in Softly Broken Supersymmetry." arXiv:hep-ph/9308222 (1993). https://pith.science/paper/AWTGUNA6
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arXiv listing abstract v2. Results and the main claim are underlined; .

We discuss the dependence of running couplings on the choice of regularization method in a general softly-broken N=1 supersymmetric theory. Regularization by dimensional reduction respects supersymmetry, but standard dimensional regularization does not. We find expressions for the differences between running couplings in the modified minimal subtraction schemes of these two regularization methods, to one loop order. We also find the two-loop renormalization group equations for gaugino masses in both schemes, and discuss the application of these results to the Minimal Supersymmetric Standard Model.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 We discuss the dependence of running couplings on the choice of regularization method in a general softly-broken N=1 supersymmetric theory. contribution 0.75 0.62 0.10 asserted 0.64
s1 Regularization by dimensional reduction respects supersymmetry, but standard dimensional regularization does not. background 0.99 0.09 0.12 asserted 1.00
s2 We find expressions for the differences between running couplings in the modified minimal subtraction schemes of these two regularization methods, to one loop order. result 0.96 0.96 0.52 asserted 1.00
s3 We also find the two-loop renormalization group equations for gaugino masses in both schemes, and discuss the application of these results to the Minimal Supersymmetric Standard Model. contribution 0.56 0.95 0.17 asserted 1.00

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Original abstract

We discuss the dependence of running couplings on the choice of regularization method in a general softly-broken N=1 supersymmetric theory. Regularization by dimensional reduction respects supersymmetry, but standard dimensional regularization does not. We find expressions for the differences between running couplings in the modified minimal subtraction schemes of these two regularization methods, to one loop order. We also find the two-loop renormalization group equations for gaugino masses in both schemes, and discuss the application of these results to the Minimal Supersymmetric Standard Model.

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42 arXiv papers cite this in 71 sentences

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Papers citing it · 46 sentences without a confident label

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Uses its method or tool 9 papers
  • The procedure to incorporate the supersymmetric effects on the numerical value of $sin^2Θ^(6),MS(M_Z)$ is as follows: In a first step we transfer $sin^2Θ^(6),MS(M_Z)$ from Eq. ([ref]) to the scheme [ref] and apply afterwards the supersymmetric one-loop corrections evaluated in Ref. [ref] relating the weak mixing angle in the SM to the one in MSSM.

    Minimal Supersymmetric SU(5) and Gauge Coupling Unification at Three Loops · Running and decoupling · 0.97

  • [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

  • The $→$ conversion formulae for $g_1$, $g_2$ and $g_3$ between high-scale and low-scale parameters at 1-loop level are given by [equation] where the $δg_i^reg$ denote $$–$$ shifts related to the difference in the regularization schemes [ref] , [equation] and the $δg_i^thr$ are the threshold corrections[The threshold corrections for the gauge couplings can e.g. be obtained from matching the $Z$ and $W^±$ boson pole masses as well as the running electromagnetic and strong couplings [ref] .] for $v →0$ including the effects of the heavy particles which are integrated out in the EFT [ref] .

    Higgs Mass Predictions in the CP-Violating High-Scale NMSSM · The Loop-Corrected Higgs Mass in the EFT Approach · 0.92

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