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MSGUT a la Pati-Salam : from Futility to Precision
High Energy Physics - Phenomenology · Submitted 9 May 2004
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This shows that contrary to longstanding conjectures, high precision calculations are not futile but rather necessary and feasible in the MSGUT.
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The abstract, sentence by sentence
We compute the complete gauge and chiral superheavy mass spectrum and couplings of the Minimal Susy GUT (based on the $ \bf {210- \oot- 126-10}$ irreps as the Higgs system) by decomposing SO(10) labels in terms of Pati Salam subgroup labels. The spectra are sensitive functions of the single complex parameter that controls MSGUT symmetry breaking. We scan for the dependence of the threshold corrections to the Weinberg angle and Unification scale as functions of this parameter. We find that for generic values of the GUT scale parameters the modifications are within 10% of the one loop values and can be much smaller for significant regions of the parameter space. This shows that contrary to longstanding conjectures, high precision calculations are not futile but rather necessary and feasible in the MSGUT. The couplings of the matter supermultiplets are made explicit and used to identify the channels for exotic ($\Delta B\neq 0$) processes and to write down the associated bare $d=5$ operators (some of both are novel). The mass formulae for all matter fermions are derived. This sets the stage for a comprehensive RG based phenomenological analysis of the MSGUT.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We compute the complete gauge and chiral superheavy mass spectrum and couplings of the Minimal Susy GUT (based on the $ \bf {210- \oot- 126-10}$ irreps as the Higgs system) by decomposing SO(10) labels in terms of Pati Salam subgroup labels. | contribution 0.88 | 0.96 | 0.05 | asserted 1.00 |
| s1 | The spectra are sensitive functions of the single complex parameter that controls MSGUT symmetry breaking. | result 0.97 | 0.76 | 0.04 | asserted 1.00 |
| s2 | We scan for the dependence of the threshold corrections to the Weinberg angle and Unification scale as functions of this parameter. | method 0.76 | 0.93 | 0.02 | asserted 0.88 |
| s3 | We find that for generic values of the GUT scale parameters the modifications are within 10% of the one loop values and can be much smaller for significant regions of the parameter space. | result 1.00 | 0.96 | 0.18 | asserted 0.99 |
| s4 | This shows that contrary to longstanding conjectures, high precision calculations are not futile but rather necessary and feasible in the MSGUT. | interpretation 1.00 | 0.81 | 0.85 | asserted 1.00 |
| s5 | The couplings of the matter supermultiplets are made explicit and used to identify the channels for exotic ($\Delta B\neq 0$) processes and to write down the associated bare $d=5$ operators (some of both are novel). | contribution 0.95 | 0.95 | 0.04 | asserted 1.00 |
| s6 | The mass formulae for all matter fermions are derived. | contribution 0.60 | 0.96 | 0.03 | asserted 1.00 |
| s7 | This sets the stage for a comprehensive RG based phenomenological analysis of the MSGUT. | future work 0.99 | 0.36 | 0.05 | asserted 0.90 |
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The paper
Original abstract
We compute the complete gauge and chiral superheavy mass spectrum and couplings of the Minimal Susy GUT (based on the $ \bf {210- \oot- 126-10}$ irreps as the Higgs system) by decomposing SO(10) labels in terms of Pati Salam subgroup labels. The spectra are sensitive functions of the single complex parameter that controls MSGUT symmetry breaking. We scan for the dependence of the threshold corrections to the Weinberg angle and Unification scale as functions of this parameter. We find that for generic values of the GUT scale parameters the modifications are within 10% of the one loop values and can be much smaller for significant regions of the parameter space. This shows that contrary to longstanding conjectures, high precision calculations are not futile but rather necessary and feasible in the MSGUT. The couplings of the matter supermultiplets are made explicit and used to identify the channels for exotic ($\Delta B\neq 0$) processes and to write down the associated bare $d=5$ operators (some of both are novel). The mass formulae for all matter fermions are derived. This sets the stage for a comprehensive RG based phenomenological analysis of the MSGUT.
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References
How the literature uses it
14 arXiv papers cite this in 91 sentences
Papers citing it · 73 sentences without a confident label
Builds on it 1 paper
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The complete spectrum of the 26 different MSSM irrep types and tree level effective Superpotential is available [ref] and extends the MSGUT result [ref] .
MSSM Higgs : Window into Susy GUTs · Minimal Susy SO(10) Grand Unified Model · 0.87
Uses its method or tool 3 papers
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Then coefficients of d=5 proton decay LLLL and RRRR operator are calculated [ref] .
Study of baryon number and lepton flavour violation in the new minimal supersymmetric SO(10)GUT · Viable Parameter Space Search · 0.96
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The couplings of the GUT field doublets $h_a,h̅_a, =1,2...6$ (see [ref] for conventions) to various pairs of the 26 different MSSM irrep-types (labelled conveniently by the letters of the alphabet : see [ref] ) that occur in this theory can be easily -if tediously- worked out using the technology [ref] of SO(10) decomposition via the Pati-Salam group.
Baryon Stability on the Higgs Dissolution Edge : Threshold corrections and suppression of Baryon violation in the NMSGUT · Appendix A · 0.96
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$H,H̅$ are constrained to be very light compared to the GUt scale by imposing $det H=0$ on their mass matrix ($H$) which is calculated using the MSGUT vevs [ref] .
NMSGUT emergence and Trans-Unification RG flows · NMSGUT Running down · 0.84
Cites it as support 1 paper
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Our results on threshold corrected gauge unification [ref] and fermion fitting [ref] have rather lessened this fear by showing that the very complexity of the spectra effectively enlarges the possibilities for finding arrangements of parameters for which the feared breakdown does not take place.
Baryon Stability on the Higgs Dissolution Edge : Threshold corrections and suppression of Baryon violation in the NMSGUT · Introduction · 0.97
Cites it as background 6 papers
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All the SM fermions along with the right handed neutrino are accommodated in three copies $(ψ_A)$ of $16$-plet. $126$, $$, $210$ Higgs irreps participate in spontaneous symmetry breaking (SSB) from Susy SO(10) to MSSM in steps or at once and are therefore called adjoint type Higgs multiplets (AM). $10$, $126$, $120$ Higgs irreps couple to matter bilinear to generate fermion masses and are hence called [ref] fermion mass (FM) type Higgs multiplets. $120$-plet has no MSSM singlet so it does not participate in symmetry breaking.
Study of baryon number and lepton flavour violation in the new minimal supersymmetric SO(10)GUT · Introduction · 0.90
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For the first one of these two topics, i.e., the mass spectrum, we refer the reader to the existent literature [ref] (for very recent reanalysis see [ref] ).
Minimal SO(10) splits supersymmetry · The minimal SO(10) · 1.00
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The superpotential (see [ref] for comprehensive details ) contains the mass parameters m: 210^2 ; M : 126·126 ; M_H : 10^2; m_O :120^2
NMSGUT-III: Grand Unification upended · NMSGUT recapitulated · 0.88
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