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The Super-GUT CMSSM Revisited
High Energy Physics - Phenomenology · Submitted 18 Aug 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Typically, these allowed regions appear for $m_0$ and $m_{1/2}$ in the multi-TeV region, for suitable values of the unknown SU(5) GUT-scale phases and superpotential couplings, and with the ratio of supersymmetric Higgs vacuum expectation values $\tan \beta \lesssim 6$.
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We revisit minimal supersymmetric SU(5) grand unification (GUT) models in which the soft supersymmetry-breaking parameters of the minimal supersymmetric Standard Model (MSSM) are universal at some input scale, $M_{in}$, above the supersymmetric gauge coupling unification scale, $M_{GUT}$. As in the constrained MSSM (CMSSM), we assume that the scalar masses and gaugino masses have common values, $m_0$ and $m_{1/2}$ respectively, at $M_{in}$, as do the trilinear soft supersymmetry-breaking parameters $A_0$. Going beyond previous studies of such a super-GUT CMSSM scenario, we explore the constraints imposed by the lower limit on the proton lifetime and the LHC measurement of the Higgs mass, $m_h$. We find regions of $m_0$, $m_{1/2}$, $A_0$ and the parameters of the SU(5) superpotential that are compatible with these and other phenomenological constraints such as the density of cold dark matter, which we assume to be provided by the lightest neutralino. Typically, these allowed regions appear for $m_0$ and $m_{1/2}$ in the multi-TeV region, for suitable values of the unknown SU(5) GUT-scale phases and superpotential couplings, and with the ratio of supersymmetric Higgs vacuum expectation values $\tan \beta \lesssim 6$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We revisit minimal supersymmetric SU(5) grand unification (GUT) models in which the soft supersymmetry-breaking parameters of the minimal supersymmetric Standard Model (MSSM) are universal at some input scale, $M_{in}$, above the supersymmetric gauge coupling unification scale, $M_{GUT}$. | background 0.62 | 0.44 | 0.03 | asserted 0.78 |
| s1 | As in the constrained MSSM (CMSSM), we assume that the scalar masses and gaugino masses have common values, $m_0$ and $m_{1/2}$ respectively, at $M_{in}$, as do the trilinear soft supersymmetry-breaking parameters $A_0$. | method 0.80 | 0.49 | 0.03 | asserted 1.00 |
| s2 | Going beyond previous studies of such a super-GUT CMSSM scenario, we explore the constraints imposed by the lower limit on the proton lifetime and the LHC measurement of the Higgs mass, $m_h$. | contribution 0.97 | 0.80 | 0.04 | asserted 0.92 |
| s3 | We find regions of $m_0$, $m_{1/2}$, $A_0$ and the parameters of the SU(5) superpotential that are compatible with these and other phenomenological constraints such as the density of cold dark matter, which we assume to be provided by the lightest neutralino. | result 0.96 | 0.95 | 0.50 | asserted 1.00 |
| s4 | Typically, these allowed regions appear for $m_0$ and $m_{1/2}$ in the multi-TeV region, for suitable values of the unknown SU(5) GUT-scale phases and superpotential couplings, and with the ratio of supersymmetric Higgs vacuum expectation values $\tan \beta \lesssim 6$. | result 1.00 | 0.90 | 0.61 | asserted 0.65 |
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Original abstract
We revisit minimal supersymmetric SU(5) grand unification (GUT) models in which the soft supersymmetry-breaking parameters of the minimal supersymmetric Standard Model (MSSM) are universal at some input scale, $M_{in}$, above the supersymmetric gauge coupling unification scale, $M_{GUT}$. As in the constrained MSSM (CMSSM), we assume that the scalar masses and gaugino masses have common values, $m_0$ and $m_{1/2}$ respectively, at $M_{in}$, as do the trilinear soft supersymmetry-breaking parameters $A_0$. Going beyond previous studies of such a super-GUT CMSSM scenario, we explore the constraints imposed by the lower limit on the proton lifetime and the LHC measurement of the Higgs mass, $m_h$. We find regions of $m_0$, $m_{1/2}$, $A_0$ and the parameters of the SU(5) superpotential that are compatible with these and other phenomenological constraints such as the density of cold dark matter, which we assume to be provided by the lightest neutralino. Typically, these allowed regions appear for $m_0$ and $m_{1/2}$ in the multi-TeV region, for suitable values of the unknown SU(5) GUT-scale phases and superpotential couplings, and with the ratio of supersymmetric Higgs vacuum expectation values $\tan \beta \lesssim 6$.
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References
How the literature uses it
35 arXiv papers cite this in 103 sentences
Papers citing it · 73 sentences without a confident label
Contests it 1 paper
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In previous work [ref] , not all possibilities for the Planck-suppressed operators were considered, and $f_QL=f_d$ was assumed at the GUT scale, leading to an apparent suppression of the proton lifetime.
Planck-Scale Effects on Nucleon Decay in Minimal Supersymmetric SU(5) · Conclusions and Discussion · contest 0.73
Builds on it 1 paper
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Because the vev of $Σ$ is deflected by the soft masses, the $F$-term of $Σ$ becomes non-zero and is given by [equation] We can now use these expressions to compute the MSSM Higgs $μ$ and $B$ terms [These expressions, as well as Eq. ([ref]), generalize those derived in [ref] by including the contributions of the higher-dimensional operators.], [equation] where [equation] It can be shown that this parameter is scale-independent.
Planck-Scale Effects on Nucleon Decay in Minimal Supersymmetric SU(5) · The Model · 0.98
Uses its method or tool 3 papers
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The coefficient of the operator [ref], $c$, as well as the unified coupling, $g_5$, and the adjoint Higgs VEV, $V$, are determined using Eqs. ([ref]–[ref]) as was done in Refs. [ref] .
A Minimal SU(5) SuperGUT in Pure Gravity Mediation · Summary · 0.93
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We employ GUT relations among the soft terms derived from the unification group structure [ref] .
Dark Matter, Sparticle Spectroscopy and Muon $(g-2)$ in $SU(4)_c \times SU(2)_L \times SU(2)_R$ · The $SU(4)_c ×SU(2)_L ×SU(2)_R$ model · 0.84
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We use the same matching conditions as used in Ref. [ref] , namely [equation] for the third-generation Yukawa couplings, [These conditions are also used in Ref. [ref] . ] while for the first- and second-generations we use [equation] where $f_u_i(M_GUT)$, $f_d_i(M_GUT)$, and $f_e_i(M_GUT)$ are the up-type, down-type, and charged lepton Yukawa couplings at the GUT scale $M_GUT$, respectively, and $V_ij$ are the CKM matrix elements.
Supersymmetric Proton Decay Revisited · Minimal Supersymmetric SU(5) GUT Model · 0.97
Compares with it 5 papers
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Its location is significantly higher than in previous work [ref] , due to the numerous updates incorporated here.
Supersymmetric Proton Decay Revisited · Hadronic Matrix-Element Uncertainties · 1.00
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Recently proton lifetime and SUSY spectrum has been analyzed including constraints from the LHC and from SuperKamiokande in Ref. [ref] .
Proton Lifetime in Minimal SUSY SU(5) in Light of LHC Results · Introduction · 0.91
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Before discussing the main results of this Section, we point out how our calculation of the proton lifetime is different in this Section than was done in previous work [ref] .
Planck-Scale Effects on Nucleon Decay in Minimal Supersymmetric SU(5) · Proton Decay and SU(5) Breaking · 0.93
Cites it as support 2 papers
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All of these choices tend to decrease the proton lifetime to unacceptably small values [ref] .
No-Scale SU(5) Super-GUTs · Vacuum Conditions and Renormalization-Group Equations · 0.99
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However, if Planck suppressed operators are taken into consideration, the constraint on $M_H_C$ is relaxed considerably [ref] .
Revisiting Flavor and CP Violation in Supersymmetric SU(5) with Right-Handed Neutrinos · Matching Conditions at GUT Scale · 0.96
Cites it as background 11 papers
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In super-GUT models [ref] , the soft supersymmetry-breaking mass parameters are taken to be universal at some input scale, $$, that is greater than the GUT scale, $M_GUT$.
Low-Energy Probes of No-Scale SU(5) Super-GUTs · Soft Supersymmetry Breaking · 0.97
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We apply these considerations to various GUT models in Section [ref], including the constrained minimal supersymmetric Standard Model (CMSSM) in which the soft supersymm- etry-breaking sfermion and gaugino masses are assumed to be universal at the GUT scale in Section [ref] [ref] , super-GUT models in which universality is imposed at a scale higher than the GUT scale [ref] in Section [ref], and sub-GUT models in which universality is imposed a lower scale [ref] in Section [ref].
Supersymmetric Proton Decay Revisited · Introduction · 0.81
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In constrained models such as the CMSSM [ref] , all soft scalar masses are unified with the same input value $m_0$ at some high energy scale, $M_in$, which may be equal to the GUT scale, as in the CMSSM, or less (as in sub-GUT models [ref] ), or greater than the GUT scale (as in super-GUT models [ref] ), and similarly for gaugino masses, $m_1/2$, and trilinear terms, $A_0$.
Superstring-Inspired Particle Cosmology: Inflation, Neutrino Masses, Leptogenesis, Dark Matter & the SUSY Scale · Phenomenological Aspects of Entropy Production · 1.00
What it cites · 47 sentences without a confident label
Uses the method or tool of 7 papers
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These coefficients are then evolved down to the SUSY scale $M_SUSY$ according to one-loop RGEs, which are presented in Ref. [ref] .
Beyond the CMSSM without an Accelerator: Proton Decay and Direct Dark Matter Detection · Appendix · 0.96
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These parameters are evolved down to $M_GUT$ using the renormalization-group equations (RGEs) of the minimal supersymmetric SU(5) GUT, which can be found in [ref] , with appropriate changes of notation.
What if Supersymmetry Breaking Unifies beyond the GUT Scale? · Soft supersymmetry-breaking mass parameters · 0.96
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These parameters are evolved down to $M_GUT$ using the renormalization-group equations (RGEs) of the minimal supersymmetric SU(5) GUT, which can be found in [ref] , with appropriate changes of notation.
GUT effects in the soft supersymmetry breaking terms · Soft supersymmetry-breaking mass parameters · 0.96
Uses data or values from 6 papers
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The current limit $τ_p > 6.6 ×10^33$ yrs [ref] would exclude the entire area below the curve labeled 0.066.
Review of Nucleon Decay Searches at Super-Kamiokande · CMSSM update · 0.96
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The current limit $τ_p > 6.6 ×10^33$ yrs [ref] would exclude the entire area below the curve labeled 0.066.
Search for Proton Decay via $p \rightarrow \nu K^{+}$ using 260 kiloton$\cdot$year data of Super-Kamiokande · CMSSM update · 0.96
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Values of the relevant hadron matrix elements are summarized in Table [ref], as computed using QCD lattice simulations in Ref. [ref] .
Proton decay matrix elements on the lattice · Appendix · 0.99
Cites as support 5 papers
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The strong constraint from the $p→K^+ ν$ decay may, however, be evaded if the masses of supersymmetric particles are well above the electroweak scale [ref] .
EDM Signatures of PeV-scale Superpartners · Proton Decay and GUT-Scale Phases · 0.97
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The strong constraint from the $p→K^+ ν$ decay may, however, be evaded if the masses of supersymmetric particles are well above the electroweak scale [ref] .
Decoupling Can Revive Minimal Supersymmetric SU(5) · Proton Decay and GUT-Scale Phases · 0.97
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The strong constraint from the $p→K^+ ν$ decay may, however, be evaded if the masses of supersymmetric particles are well above the electroweak scale [ref] .
Sfermion Flavor and Proton Decay in High-Scale Supersymmetry · Proton Decay and GUT-Scale Phases · 0.97
Cites as background 15 papers
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Fewer studies have been performed for scenarios in which the soft supersymmetry-breaking parameters are universal at some other scale $M_in M_GUT$, which might be either below the GUT scale (so-called sub-GUT or GUT-less scenarios [ref] ) or above the GUT scale (so-called super-GUT scenarios [ref] ).
SUSY-GUTs, SUSY-Seesaw and the Neutralino Dark Matter · Introduction · 0.95
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Fewer studies have been performed for scenarios in which the soft supersymmetry-breaking parameters are universal at some other scale $M_in M_GUT$, which might be either below the GUT scale (so-called sub-GUT or GUT-less scenarios [ref] ) or above the GUT scale (so-called super-GUT scenarios [ref] ).
Beyond the CMSSM without an Accelerator: Proton Decay and Direct Dark Matter Detection · Introduction · 0.95
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Fewer studies have been performed for scenarios in which the soft supersymmetry-breaking parameters are universal at some other scale $M_in M_GUT$, which might be either below the GUT scale (so-called sub-GUT or GUT-less scenarios [ref] ) or above the GUT scale (so-called super-GUT scenarios [ref] ).
What if Supersymmetry Breaking Unifies beyond the GUT Scale? · Introduction · 0.95
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