RECORD
Regularization Dependence of Running Couplings in Softly Broken Supersymmetry
High Energy Physics - Phenomenology · Submitted 4 Aug 1993
abstract compiled · 2026-09-23 · no language-model review
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.
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.
Open the compiled record
The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| 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 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
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.
Human review
References
How the literature uses it
42 arXiv papers cite this in 71 sentences
Papers citing it · 46 sentences without a confident label
Builds on it 1 paper
-
The relations [ref]–[ref] represent a generalization of the known results of Ref. [ref] for a spontaneously broken gauge theory with non-zero VEVs.
Extending the Universal One-Loop Effective Action by Regularization Scheme Translating Operators · Trilinear, quadratic and tadpole couplings · 0.97
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
Compares with it 1 paper
-
Finally, we show that our results are in agreement with the known generic parameter conversion terms of Ref. [ref] .
Extending the Universal One-Loop Effective Action by Regularization Scheme Translating Operators · Introduction · 0.99
Cites it as support 1 paper
-
Since we shall be dealing with an anomaly free theory, these contributions involving evanescent operators have no physical effects at the one-loop level [ref] –although they are needed at two loops and beyond [ref] – and are mere artifacts of the regularisation procedure.
Renormalisability of noncommutative GUT inspired field theories with anomaly safe groups · The theory and their background field method quantisation · 0.98
Cites it as background 3 papers
-
In the MSSM, the one-loop relations are known for the gauge, Yukawa, quartic scalar couplings and for the coupling associated with the gaugino-chiral supermultiplet interactions, as well as for the gaugino masses [ref] .
Two-loop parameter relations between dimensional regularization and dimensional reduction applied to SUSY-QCD · Introduction · 0.90
-
See e.g. [ref] for more details on the origin of these contributions.
Precise prediction of the MSSM Higgs boson masses for low MA · Matching the SM+EWinos to the MSSM · 0.92
-
Their analytic expressions have been known for some time now (see for example [ref] ) but I thought it might be useful to provide them here also.
Top-down and bottom-up excursions beyond the Standard Model: The example of left-right symmetries in supersymmetry · Renormalization group equations · 0.87
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.