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Correcting \alpha_3(M_Z) in the NMSGUT
High Energy Physics - Phenomenology · Submitted 22 Oct 2007
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that superheavy threshold corrections in the New Minimal Supersymmetric GUT based on the SO(10) Higgs system ${\bf{210\oplus 126\oplus {\bar {126}}\oplus 10 \oplus 120}} $ can comfortably correct the prediction for the value of $\alpha_3(M_Z)$ from the relatively large value predicted by the two loop RG equations to the central value determined by the current world average.
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The abstract, sentence by sentence
We show that superheavy threshold corrections in the New Minimal Supersymmetric GUT based on the SO(10) Higgs system ${\bf{210\oplus 126\oplus {\bar {126}}\oplus 10 \oplus 120}} $ can comfortably correct the prediction for the value of $\alpha_3(M_Z)$ from the relatively large value predicted by the two loop RG equations to the central value determined by the current world average. The unification scale is raised above the one loop value over almost all of the viable parameter space.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We show that superheavy threshold corrections in the New Minimal Supersymmetric GUT based on the SO(10) Higgs system ${\bf{210\oplus 126\oplus {\bar {126}}\oplus 10 \oplus 120}} $ can comfortably correct the prediction for the value of $\alpha_3(M_Z)$ from the relatively large value predicted by the two loop RG equations to the central value determined by the current world average. | result 0.92 | 0.91 | 0.89 | asserted 0.96 |
| s1 | The unification scale is raised above the one loop value over almost all of the viable parameter space. | result 1.00 | 0.83 | 0.12 | asserted 0.99 |
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The paper
Original abstract
We show that superheavy threshold corrections in the New Minimal Supersymmetric GUT based on the SO(10) Higgs system ${\bf{210\oplus 126\oplus {\bar {126}}\oplus 10 \oplus 120}} $ can comfortably correct the prediction for the value of $\alpha_3(M_Z)$ from the relatively large value predicted by the two loop RG equations to the central value determined by the current world average. The unification scale is raised above the one loop value over almost all of the viable parameter space.
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References
How the literature uses it
7 arXiv papers cite this in 14 sentences
Papers citing it · 10 sentences without a confident label
Cites it as support 1 paper
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It has been explicitly shown that the threshold effects due to the large SO(10) representations are small and do not destroy gauge coupling unification [ref] .
Determining Heavy Mass Parameters in Supersymmetric SO(10) Models · One-Step SO(10) \(→\) SM Breaking · 1.00
Cites it as background 3 papers
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The question whether the renormalizable Supersymmetric SO(10) GUT based on the Higgs set $210⊕10⊕120⊕126⊕126$ (i.e the so called Next or New Minimal Supersymmetric GUT NMSGUT [ref] ( although a more accurate name might be the Full Minimal Supersymmetric GUM(FMSGUM) !) is capable of encompassing fermion mass-mixing data has received much attention lately [ref] .
The New Minimal Supersymmetric GUT : Spectra, RG analysis and Fermion Fits · Introduction · 0.98
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There is a plethora of literature about the supersymmetric version of this model [ref] , which is often referred to as the "Minimal Supersymmetric Grand Unified Theory" (MSGUT)[An alternative approach containing two 10-dimensional Higgs representations can be found in [ref] .].
Fits to SO(10) Grand Unified Models · Minimal Model with $10_H + 126_H$ (MN, MS) · 1.00
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There is a long history of fitting SO(10) to fermion masses, see, e.g., [ref] Some works focussed on particular SO(10) models, while others focussed on a general SO(10) Yukawa sector only.
Confronting SUSY SO(10) with updated Lattice and Neutrino Data · Introduction · 1.00
What it cites · 20 sentences without a confident label
Uses the method or tool of 1 paper
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we find from the equations of [ref] α_s(M_Z)- Δ_α_s = 0.130±0.001+3.1 ×10^-7 GeV^-2 ×[(m_t^pole)^2 - (172.7 GeV)^2] + H_α_s where $Δ_α_s=Δ_α_s^GUT+Δ_α_s^Susy$ threshold corrections.
The strong coupling, unification, and recent data · Threshold corrections · 0.81
Uses data or values from 1 paper
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The effect of the two loop Yukawa coupling corrections $H_α_s$ was estimated [ref] to be bounded :$-0.003 < H_α_s(h_t,h_b)<0$
The strong coupling, unification, and recent data · Threshold corrections · 0.89
Cites as background 6 papers
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Since the discovery of neutrino oscillations renormalizable Supersymmetric SO(10) GUTs [ref] have increasingly come to occupy the middle ground of the Grand Unification landscape due to their natural accommodation of seesaw mechanisms for neutrino masses and their ability to justify R-parity as a part of the gauge symmetry [ref] while preserving it unbroken to low energies [ref] when the most economical and viable Higgs set i.e $126 ⊕126 ⊕210$ is used.
SO(10) theory of R-parity and neutrino mass · Introduction · 0.82
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Since the discovery of neutrino oscillations renormalizable Supersymmetric SO(10) GUTs [ref] have increasingly come to occupy the middle ground of the Grand Unification landscape due to their natural accommodation of seesaw mechanisms for neutrino masses and their ability to justify R-parity as a part of the gauge symmetry [ref] while preserving it unbroken to low energies [ref] when the most economical and viable Higgs set i.e $126 ⊕126 ⊕210$ is used.
The minimal supersymmetric grand unified theory · Introduction · 0.82
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Since the discovery of neutrino oscillations renormalizable Supersymmetric SO(10) GUTs [ref] have increasingly come to occupy the middle ground of the Grand Unification landscape due to their natural accommodation of seesaw mechanisms for neutrino masses and their ability to justify R-parity as a part of the gauge symmetry [ref] while preserving it unbroken to low energies [ref] when the most economical and viable Higgs set i.e $126 ⊕126 ⊕210$ is used.
The minimal supersymmetric grand unified theory: I. symmetry breaking and the particle spectrum · Introduction · 0.82
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