High Energy Physics - Phenomenology · arXiv:1207.2774 v3 · submitted 11 Jul 2012
(N)LSP Decays and Gravitino Dark Matter Relic Abundance in Big Divisor (nearly) SLagy D3/D7 mu-Split SUSY
The paper says
“Using the (nearly) Ricci-flat Swiss-Cheese metric of [1], in the context of a mobile space-time filling D3-brane restricted to a nearly special Lagrangian sub-manifold (in the large volume limit, the pull-back of the Kaehler form close to zero and the real part of the pull-back of e^-i theta,theta=pi/2 times the nowhere-vanishing holomorphic three-form providing the volume form on the three-cycle) of the "big" divisor with (fluxed stacks of) space-time filling D7-branes also wrapping the "big" divisor (corresponding to a local minimum), we provide an explicit identification of the electron and the u-quark, as well as their SU(2)_L-singlet cousins, with fermionic super-partners of four Wilson line moduli; their superpartners turn out to be very heavy, the Higgsino-mass parameter turns out to be large, one obtains one light (with a mass of 125 GeV) and one heavy Higgs and the gluino is long lived (from a collider point of view) providing a possible realization of "mu-Split Supersymmetry".”
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Abstract
Using the (nearly) Ricci-flat Swiss-Cheese metric of [1], in the context of a mobile space-time filling D3-brane restricted to a nearly special Lagrangian sub-manifold (in the large volume limit, the pull-back of the Kaehler form close to zero and the real part of the pull-back of e^-i theta,theta=pi/2 times the nowhere-vanishing holomorphic three-form providing the volume form on the three-cycle) of the "big" divisor with (fluxed stacks of) space-time filling D7-branes also wrapping the "big" divisor (corresponding to a local minimum), we provide an explicit identification of the electron and the u-quark, as well as their SU(2)_L-singlet cousins, with fermionic super-partners of four Wilson line moduli; their superpartners turn out to be very heavy, the Higgsino-mass parameter turns out to be large, one obtains one light (with a mass of 125 GeV) and one heavy Higgs and the gluino is long lived (from a collider point of view) providing a possible realization of "mu-Split Supersymmetry". By explicitly calculating the lifetimes of decays of the co-NLSPs - the first generation squark/slepton and a neutralino - to the LSP - the gravitino - as well as gravitino decays, we verify that BBN constraints relevant to the former as well as the requirement of the latter to be (more than) the age of the universe, are satisfied. For the purpose of calculation of the gravitino relic abundance in terms of the neutralino/slepton relic abundance, we evaluate the latter by evaluating the netralino/slepton (co-)annihilation cross sections and hence show that the former satisfies the requirement for a Dark Matter candidate.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.82
What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.20 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.96 · compares with prior results 0.09 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v3). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| Using the (nearly) Ricci-flat Swiss-Cheese metric of [1], in the context of a mobile space-time filling D3-brane restricted to a nearly special Lagrangian sub-manifold (in the large volume limit, the pull-back of the Kaehler form close to zero and the real part of the pull-back of e^{-i theta},theta=pi/2 times the nowhere-vanishing holomorphic three-form providing the volume form on the three-cycle) of the "big" divisor with (fluxed stacks of) space-time filling D7-branes also wrapping the "big" divisor (corresponding to a local minimum), we provide an explicit identification of the electron and the u-quark, as well as their SU(2)_L-singlet cousins, with fermionic super-partners of four Wilson line moduli; their superpartners turn out to be very heavy, the Higgsino-mass parameter turns out to be large, one obtains one light (with a mass of 125 GeV) and one heavy Higgs and the gluino is long lived (from a collider point of view) providing a possible realization of "mu-Split Supersymmetry". | contribution 0.76 | 0.91 | 0.53 | asserted 0.82 |
| By explicitly calculating the lifetimes of decays of the co-NLSPs - the first generation squark/slepton and a neutralino - to the LSP - the gravitino - as well as gravitino decays, we verify that BBN constraints relevant to the former as well as the requirement of the latter to be (more than) the age of the universe, are satisfied. | result 0.78 | 0.95 | 0.18 | asserted 1.00 |
| For the purpose of calculation of the gravitino relic abundance in terms of the neutralino/slepton relic abundance, we evaluate the latter by evaluating the netralino/slepton (co-)annihilation cross sections and hence show that the former satisfies the requirement for a Dark Matter candidate. | result 0.56 | 0.94 | 0.29 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.89
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,520 input tokens, $0.0001 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
How the literature uses it
4 arXiv papers cite this in 4 sentences
Papers citing it · 1 sentence without a confident label
Cites it as support 1 paper
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Thus one finds that the $∼125$ GeV Higgs boson leads to restrictions on model building [ref] .
Perspectives on Higgs Boson and Supersymmetry · Higgs Boson and supersymmetry · 0.97
Cites it as background 2 papers
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The original Split SUSY, which has been widely studied lately [ref] , assumed that, except for the light SM-like Higgs boson ($h^0$), all scalars are in the multi-TeV range, while gauginos and higgsinos would have lower masses and could be at the reach of the LHC.
Decays of $H^0/A^0$ in supersymmetric scenarios with heavy sfermions · Introduction · 0.94
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Since 2003, split SUSY has started to be taken as a viable possibility despite the presence of a fine-tuned EWSB and gained more attention recently given the increasing tension between data and naturalness [ref] .
Heavy Gravitino and Split SUSY in the Light of BICEP2 · Introduction · 0.84
What it cites · 23 sentences without a confident label
Uses the method or tool of 4 papers
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The solution for RG flow equation for $μ̂^2$ to one loop order is given by [ref] : [equation] wherein [equation] and where the functions $e(t),f(t),g(t),k(t)$ are as defined in the appendix of [ref] .
Non-universal Soft SUSY Breaking and Dark Matter · $K_T_BT̅_B$, the Massive Gauge Boson mass and Soft SUSY Parameters Miscellania · 0.91
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Utilizing extensively the results of [ref] , [ref] for providing the exact analytical expressions of various annihilation channels of neutralino and slepton, we obtain estimates of thermal cross-section and hence relic density of N(LSP) candidates.
Exact Cross Sections for the Neutralino WIMP Pair-Annihilation · Introduction · 0.87
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Utilizing extensively the results of [ref] , [ref] for providing the exact analytical expressions of various annihilation channels of neutralino and slepton, we obtain estimates of thermal cross-section and hence relic density of N(LSP) candidates.
Exact Cross Sections for the Neutralino-Slepton Coannihilation · Introduction · 0.87
Cites as background 2 papers
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Large volume Swiss-Cheese type IIB compactifications [ref] have been of wide interest, both from cosmological as well as phenomenological points of view.
Moduli Stabilization, Large-Volume dS Minimum Without anti-D3-Branes, (Non-)Supersymmetric Black Hole Attractors and Two-Parameter Swiss Cheese Calabi-Yau's · Results and Discussion · 1.00
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However, in models coupled to gravity and even in other scenarios of supersymmetry breaking mediation including gauge mediation, the gravitino ( the supersymmetric partner of Graviton) stands out as probably the most natural and attractive candidate for the LSP and DM although it generically suffers from a well-known “cosmological gravitino problem" [ref] the resolution of which depends on whether one considers gravitino to be LSP or unstable particle.
R-parity violation and the cosmological gravitino problem · Introduction · 0.82
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