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The Renormalization-Group Improved Higgs Sector of the Minimal Supersymmetric Model
High Energy Physics - Phenomenology · Submitted 1 Jul 1993
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Mass shifts to the neutral CP-even Higgs bosons grow with the fourth power of the top-quark mass and can be significant.
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The abstract, sentence by sentence
In the minimal supersymmetric model (MSSM) all Higgs self-coupling parameters are related to gauge couplings at tree-level. Leading-logarithmic radiative corrections to these quantities can be summed using renormalization group techniques. By this procedure we obtain complete leading-log radiative corrections to the Higgs masses, the CP-even Higgs mixing angle, and trilinear Higgs couplings. Additional corrections due to squark mixing can be explicitly incorporated into this formalism. These results incorporate nearly all potentially large corrections. Mass shifts to the neutral CP-even Higgs bosons grow with the fourth power of the top-quark mass and can be significant. The phenomenological consequences of these results are examined.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In the minimal supersymmetric model (MSSM) all Higgs self-coupling parameters are related to gauge couplings at tree-level. | background 1.00 | 0.07 | 0.05 | asserted 1.00 |
| s1 | Leading-logarithmic radiative corrections to these quantities can be summed using renormalization group techniques. | method 0.92 | 0.17 | 0.05 | asserted 0.92 |
| s2 | By this procedure we obtain complete leading-log radiative corrections to the Higgs masses, the CP-even Higgs mixing angle, and trilinear Higgs couplings. | result 0.64 | 0.94 | 0.38 | asserted 1.00 |
| s3 | Additional corrections due to squark mixing can be explicitly incorporated into this formalism. | method 0.68 | 0.63 | 0.04 | asserted 0.75 |
| s4 | These results incorporate nearly all potentially large corrections. | interpretation 0.72 | 0.84 | 0.19 | asserted 0.94 |
| s5 | Mass shifts to the neutral CP-even Higgs bosons grow with the fourth power of the top-quark mass and can be significant. | result 0.99 | 0.82 | 0.32 | asserted 0.90 |
| s6 | The phenomenological consequences of these results are examined. | contribution 0.75 | 0.81 | 0.05 | asserted 0.59 |
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The paper
Original abstract
In the minimal supersymmetric model (MSSM) all Higgs self-coupling parameters are related to gauge couplings at tree-level. Leading-logarithmic radiative corrections to these quantities can be summed using renormalization group techniques. By this procedure we obtain complete leading-log radiative corrections to the Higgs masses, the CP-even Higgs mixing angle, and trilinear Higgs couplings. Additional corrections due to squark mixing can be explicitly incorporated into this formalism. These results incorporate nearly all potentially large corrections. Mass shifts to the neutral CP-even Higgs bosons grow with the fourth power of the top-quark mass and can be significant. The phenomenological consequences of these results are examined.
Human review
References
How later papers used it
73 later papers cite it
1 later paper by other authors is listed below: 1 used its method or tool.
Uses its method or tool 1 of 5 papers with this label
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Ran all the Higgs couplings using their renormalization group equations, citing this paper for the full expressions.
$N=1$ trinification from dimensional reduction of $N=1$, $10D$ $E_8$ over $SU(3)/U(1)\times U(1)\times Z_3$ and its phenomenological consequences (2020) · 0.96 · paraphrased: the licence does not allow quoting
How the literature uses it
68 arXiv papers cite this in 95 sentences
Papers citing it · 69 sentences without a confident label
Builds on it 2 papers
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However, to extend the results of [ref] to our model, we have computed the corrections coming from stops, sbottoms and staus to the quartic couplings allowing non-zero squark trilinears and $μ$.
Higgs alignment from extended supersymmetry · Matching at the SUSY scale · 1.00
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[ref] to the case of complex parameters, neglecting however some of the terms that involve the EW gauge couplings.
Higgs-mass predictions in the MSSM and beyond · Matching the MSSM to a · 0.90
Uses its method or tool 4 papers
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In the 2-loop leading-log(LL) approximation the $ΔM_ij^2$ are given [ref] by [equation] where [equation] where $F_l = 1/(1+ h_t^2/8π^2t)$ with $l=3,3/2,9/4$ and $G_l =- 1/16π^2(l h_t^2-32πα_s)$ with $l=15/2,9/2$.
Flavor-Tuned 125 GeV SUSY Higgs Boson at the LHC: MSSM and NATURAL SUSY TESTS · Introduction · 0.91
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Then, all the Higgs couplings run using their RGEs (see [ref] for the full expressions), which in turn change appropriately for each energy interval explained above.
$N=1$ trinification from dimensional reduction of $N=1$, $10D$ $E_8$ over $SU(3)/U(1)\times U(1)\times Z_3$ and its phenomenological consequences · Higgs potential · 0.96
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These corrections arise from the box and triangle diagrams in MSSM at the scale $M_S$ in $MS$ scheme [ref] .
Effects of heavy neutrinos on vacuum stability in two-Higgs-doublet model with GUT scale supersymmetry · One loop threshold corrections at $M_S$ · 0.88
Compares with it 1 paper
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The results given here agree with the complex results given in Ref. [ref] up to gauge contributions to the couplings $λ_6$ and $λ_7$, which, however, are found in the work of Ref. [ref] and Ref. [ref] in the real case.
Higgs-Boson Masses and Mixings in the MSSM with CP Violation and Heavy SUSY Particles · Matching the MSSM to the 2HDM · 1.00
Cites it as background 17 papers
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Therefore, effective field theory (EFT) calculations have been developed to resum these logarithmic contributions [ref] .
Precise prediction for the light MSSM Higgs boson mass combining effective field theory and fixed-order calculations · Introduction · 0.85
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In terms of the general two-Higgs doublet model (2HDM) parametrization of [ref] (see Eq. ([ref]) below), it is well known that of the seven independent quartic couplings only $λ_1$, $λ_2$, $λ_3$ and $λ_4$ receive contributions in the MSSM, at tree-level.
Supersymmetric Higgs Bosons and Beyond · Introduction · 0.80
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Over the years, it has also been exploited to determine analytically the coefficients of the logarithmic terms in $$ at one [ref] , two [ref] and even three [ref] loops, by solving perturbatively the appropriate systems of boundary conditions and RGEs.
Improved determination of the Higgs mass in the MSSM with heavy superpartners · Introduction · 0.85
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