ArticlePublisher preview available

THE F{\mathcal F}-LANDSCAPE: DYNAMICALLY DETERMINING THE MULTIVERSE

World Scientific
International Journal of Modern Physics A
Authors:
  • China univercity of petroleum-Beijing
To read the full-text of this research, you can request a copy directly from the authors.

Abstract

We evolve our Multiverse Blueprints to characterize our local neighborhood of the String Landscape and the Multiverse of plausible string, M- and F-theory vacua. Building upon the tripodal foundations of (i) the Flipped SU(5) Grand Unified Theory (GUT), (ii) extra TeV-Scale vector-like multiplets derived out of F-theory, and (iii) the dynamics of No-Scale supergravity, together dubbed No-Scale F{\cal F}-SU(5), we demonstrate the existence of a continuous family of solutions which might adeptly describe the dynamics of distinctive universes. This Multiverse landscape of F{\cal F}-SU(5) solutions, which we shall refer to as the F{\cal F}-Landscape, accommodates a subset of universes compatible with the presently known experimental uncertainties of our own universe. We show that by secondarily minimizing the minimum of the scalar Higgs potential of each solution within the F{\cal F}-Landscape, a continuous hypervolume of distinct minimum minimorum can be engineered which comprise a regional dominion of universes, with our own universe cast as the bellwether. We conjecture that an experimental signal at the LHC of the No-Scale F{\cal F}-SU(5) framework's applicability to our own universe might sensibly be extrapolated as corroborating evidence for the role of string, M- and F-theory as a master theory of the Multiverse, with No-Scale supergravity as a crucial and pervasive reinforcing structure.
August 22, 2012 10:48 WSPC/Guidelines-IJMPA S0217751X12501217
International Journal of Modern Physics A
Vol. 27, No. 22 (2012) 1250121 (23 pages)
c
World Scientific Publishing Company
DOI: 10.1142/S0217751X12501217
THE F-LANDSCAPE:
DYNAMICALLY DETERMINING THE MULTIVERSE
TIANJUN LI,,JAMES A. MAXINand DIMITRI V. NANOPOULOS,,§
Key Laboratory of Frontiers in Theoretical Physics,
Institute of Theoretical Physics, Chinese Academy of Sciences,
Beijing 100190, P. R. China
George P. and Cynthia W. Mitchell Institute for Fundamental Physics and Astronomy,
Texas A&M University, College Station, TX 77843, USA
Astroparticle Physics Group, Houston Advanced Research Center (HARC ),
Mitchell Campus, Woodlands, TX 77381, USA
§Academy of Athens, Division of Natural Sciences,
28 Panepistimiou Avenue, Athens 10679, Greece
JOEL W. WALKER
Department of Physics, Sam Houston State University, Huntsville, TX 77341, USA
Received 3 June 2012
Accepted 27 June 2012
Published 23 August 2012
We evolve our Multiverse Blueprints to characterize our local neighborhood of the String
Landscape and the Multiverse of plausible string, M- and F-theory vacua. Building
upon the tripodal foundations of (i) the Flipped SU (5) Grand Unified Theory (GUT),
(ii) extra TeV-Scale vector-like multiplets derived out of F-theory, and (iii) the dynamics
of No-Scale supergravity, together dubbed No-Scale F-SU (5), we demonstrate the exis-
tence of a continuous family of solutions which might adeptly describe the dynamics
of distinctive universes. This Multiverse landscape of F-SU (5) solutions, which we
shall refer to as the F-Landscape, accommodates a subset of universes compatible with
the presently known experimental uncertainties of our own universe. We show that by
secondarily minimizing the minimum of the scalar Higgs potential of each solution within
the F-Landscape, a continuous hypervolume of distinct minimum minimorum can be
engineered which comprise a regional dominion of universes, with our own universe cast
as the bellwether. We conjecture that an experimental signal at the LHC of the No-Scale
F-SU (5) framework’s applicability to our own universe might sensibly be extrapolated
as corroborating evidence for the role of string, M- and F-theory as a master theory of the
Multiverse, with No-Scale supergravity as a crucial and pervasive reinforcing structure.
Keywords: Multiverse; supersymmetry; string theory; F-theory; cosmology; dark matter.
PACS numbers: 11.10.Kk, 11.25.Mj, 11.25.-w, 12.60.Jv
1250121-1
... In reality, specific model-based predictions for the Higgs and SUSY structure are intimately correlated, as we shall demonstrate within the context of a particular phenomenologically favorable construction named No- Scale F -SU (5) [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15], which is defined by the convergence of the F -lipped SU (5) [16–18] grand unified theory (GUT), two pairs of hypothetical TeV scale vectorlike supersymmetric multiplets, dubbed flippons, with origins in F -theory [19] [20] [21] [22] [23], and the dynamically established boundary conditions of No-Scale Supergravity [24– 28]. Careful numerical analysis of the viable No-Scale F - SU (5) parameter space yields a prediction for m h in the range of 119.0 GeV to 123.5 GeV [29], consistent with limits from the CMS [30], ATLAS [31] [32], CDF and DØ Collaborations [33]. ...
... II. THE NO-SCALE F-SU(5) MODEL The No-Scale F -SU (5) construction [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] ...
... The intersection of these experimental bounds is highly nontrivial , as the tight theoretical constraints, most notably the vanishing of B µ at the high scale boundary, render the residual parameterization deeply insufficient for arbitrary tuning of even isolated predictions, let alone the union of all predictions. In addition, a top-down consistency condition on the gaugino boundary mass M 1/2 is dynamically determined at a secondary local minimization of the minimum of the Higgs potential V min , which is demonstrably consistent with the bottom-up phenomenological approach [5] [6] [14]. ...
Article
Full-text available
We describe a model named No-Scale F-SU(5) which is simultaneously capable of explaining the dual signals emerging at the LHC of i) a 124-126 GeV Higgs boson mass m_h, and ii) tantalizing low-statistics excesses in the multi-jet data which may attributable to supersymmetry. These targets tend to be mutually exclusive in more conventional approaches. The unified mechanism responsible for both effects is the introduction of a rather unique set of vector-like multiplets at the TeV scale, dubbed flippons, which i) can elevate m_h by around 3-4 GeV via radiative loop corrections, and ii) flatten the running of the strong coupling and color-charged gaugino, resulting in a prominent collider signal from production of light gluino pairs. This well motivated theoretical framework maintains consistency with all key phenomenological constraints, and all residual parameterization freedom may in principle be fixed by a combination of the two experiments described. We project that the already collected luminosity of 5 fb^-1 may be sufficient to definitively establish the status of this model, given appropriate data selection cuts.
... The context of our study on the correlation of light squark and gluino SUSY searches is a model named No- Scale F -SU (5) [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20]. No-Scale F -SU (5) is defined by the convergence of the F -lipped SU (5) [21] [22] [23] grand unified theory (GUT), two pairs of hypothetical TeV scale vector-like supersymmetric multiplets (dubbed flippons) of mass M V with origins in local F -theory [24] [25] [26] [27] [28] model building, and the dynamically established boundary conditions of No-Scale Supergravity [29] [30] [31] [32] [33]. ...
Article
In Profumo di SUSY, we presented evidence that CMS&ATLAS may have already registered a handful of deftly camouflaged supersymmetry events at the LHC in the multijet channels. Here, we explore the prospect for corroboration of this suggestion from 5 additional CMS&ATLAS search strategies targeting the production of light stops & gluinos at lower jet counts, which variously depend on heavy flavor tagging and the inclusion or exclusion of associated leptons. The current operating phase of the 7TeV LHC is highly conducive to the production of gluinos & light stops, given the supersymmetric particle mass hierarchy M_t_1<M_g<M_q that naturally evolves from the dynamics of the model named No-Scale FSU5 that we presently study. Moreover, some tension persists against the SM data-driven and MC generated background predictions in certain LHC searches of this variety. We demonstrate that the 1-sigma overlap of the allowed supersymmetric event production for these seven search methodologies roundly envelops the most favorable phenomenological subspace of FSU5, while handily generating a 125GeV Higgs boson mass. In order to test the statistical significance of any correlations across the simulated FSU5 collider response in these seven search strategies, we implement a multi-axis chi^2 fitting procedure, yielding a best overall match in the vicinity of M1/2=610GeV, corresponding to light stop & gluino masses of approximately 665GeV and 830GeV. Consequently, we suggest that FSU5 is a better global fit to the studied LHC data than the SM alone, and moreover that its predictions appear to be meaningfully correlated with observed low-statistics excesses across a wide variety of specialized search strategies. We suspect the already collected 5/fb will be sufficient to either condense or disperse the delicate aroma of stops and gluinos that suffuses the early search.
Article
We review the No-Scale F-SU(5) model with extra TeV-scale vector-like flippon multiplets and associated collider phenomenology relating to the search for supersymmetry at the LHC. The model framework possesses the rather unique capacity to provide a light CP-even Higgs boson mass in the favored 124-126 GeV window while simultaneously retaining a testably light Supersymmetry (SUSY) spectrum. We further elucidate the emerging empirical connection between recent Planck satellite data and No-Scale Supergravity cosmological models that mimic the Starobinsky model of inflation, drawing upon work conducted by the conference presenter (DVN) with John Ellis (King's College London/CERN) and Keith Olive (Minnesota).
Article
We review the blueprints of the No-Scale multiverse and the LHC search.
Article
We describe a methodology for testing No-Scale Supergravity by the FERMI-LAT satellite space telescope via observation of gamma-ray emissions from lightest supersymmetric (SUSY) neutralino annihilations. For our test vehicle we engage the framework of the supersymmetric grand unified model No-Scale Flipped SU(5) with extra vector-like flippon multiplets derived from F-Theory, known as F-SU(5). We show that through compression of the light stau and light bino neutralino mass difference, where internal bremsstrahlung (IB) photons give a dominant contribution, the photon yield from annihilation of SUSY dark matter can be elevated to a number of events potentially observable by FERMI-LAT in the coming years. Likewise, the increased yield in No-Scale F-SU(5) may also have rendered the existing observation of a 133 GeV monochromatic gamma-ray line visible, if additional data should exclude systematic or statistical explanations. The question of intensity aside, No-Scale F-SU(5) can indeed provide a natural weakly interacting massive particle (WIMP) candidate with a mass in the correct range to yield gamma+gamma and gamma+Z emission lines at m_chi ~ 133 GeV and m_chi ~ 145 GeV, respectively. Additionally, we elucidate the emerging empirical connection between recent Planck satellite data and No-Scale Supergravity cosmological models which mimic the Starobinsky model of inflation. Together, these experiments furnish rich alternate avenues for testing No-Scale F-SU(5), and similarly structured models, the results of which may lend independent credence to observations made at the LHC.
Article
We take stock of the No-Scale F-SU(5) model's experimental status and prospects in the light of results from LHC, Planck, and XENON100. Given that no conclusive evidence for light Supersymmetry (SUSY) has emerged from the 7, 8 TeV collider searches, the present work is focused on exploring and clarifying the precise nature of the high-mass cutoff enforced on this model at the point where the stau and neutralino mass degeneracy becomes so tight that cold dark matter relic density observations cannot be satisfied. This hard upper boundary on the model's mass scale constitutes a top-down theoretical mandate for a comparatively light (and testable) SUSY spectrum which does not excessively stress natural resolution of the gauge hierarchy problem. The overlap between the resulting model boundaries and the expected sensitivities of the future 14 TeV LHC and XENON 1-Ton direct detection SUSY / dark matter experiments is described.
Article
We examine the ATLAS and CMS 7 & 8 TeV multijet supersymmetry (SUSY) searches requiring the incidence of a single lepton in the framework of the supersymmetric grand unified model No-Scale Flipped SU(5) with extra vector-like flippon multiplets derived from F-Theory, or \mathcal{F}\mbox{--} \mathit{SU}(5) for short. Investigated are five multijet + lepton SUSY searches: 4.7 fb−1 ATLAS 7 TeV gluino and light stop searches, as well as 13 fb−1 ATLAS and 9.7 fb−1 CMS 8 TeV light stop searches. Most significantly, all five leptonic SUSY searches represent statistically independent data samples. Findings show that all five orthogonal sets of leptonic LHC observations give a lower bound to the gaugino mass scale at M 1/2≥680 GeV, with all the current best fits correlating within a narrow region. Furthermore, eight statistically independent LHC SUSY search regions (leptonic + all-hadronic) accessible to the No-Scale \mathcal{F}\mbox{--} \mathit{SU}(5) model space intersect with all the currently operating beyond the Standard Model experiments within the range of M 1/2=680–850 GeV, with the upper bound established by the lower experimental limit of the anomalous magnetic moment (gμ −2)/2 of the muon. We emphasize that this region of the \mathcal{F}\mbox{--} \mathit{SU}(5) model space may not be fully probed by leptonic SUSY searches at the LHC until the 13 TeV LHC energizes in 2015. Additionally, we describe an efficient technique for the effective statistical disentanglement of searches sensitive to mutually overlapping event spaces.
Article
We examine the first ATLAS Collaboration 8 TeV 5.8/fb supersymmetry (SUSY) multijet data observations in the context of No-Scale Flipped SU(5) with extra TeV-Scale vector-like flippon multiplets, dubbed F-SU(5), finding that the recent 8 TeV collider data is statistically consistent with our prior 7 TeV results. Furthermore, we synthesize all currently ongoing experiments searching for beyond the Standard Model (BSM) physics with this fit to the 8 TeV data, establishing a suggestive global coherence within a No-Scale F-SU(5) high-energy framework. The SUSY mass scale consistent with all BSM data consists of the region of the F-SU(5) model space within 660 ~< M_{1/2} ~< 760 GeV, which corresponds to sparticle masses of 133 ~< M(chi_1^0) ~< 160 GeV, 725 ~< M(t_1) ~< 845 GeV, and 890 ~< M(g) ~< 1025 GeV. We suggest that the tight non-trivial correspondence between the SUSY multijets, direct and indirect searches for dark matter, proton decay, rare-decay processes, the observed Higgs boson mass, and the measured dark matter relic density, is strongly indicative of a deeper fundamental relationship. We additionally suggest a simple mechanism for enhancing the capture efficiency of F-SU(5) SUSY multijets, which results in a 93% suppression in ATLAS reported background events, but only a 27% decrease in Monte Carlo simulated F-SU(5) multijet events.
Article
We complete an investigation of the observable signatures of No-Scale flipped SU(5) x U(1)_X grand unified theory with TeV-scale vector-like particles (No-Scale F-SU(5)) at the LHC and dark matter direct detection experiments. We feature a dark matter candidate which is over 99% bino due to a comparatively large Higgs bilinear mass mu term around the electroweak scale, and hence automatically satisfy the present constraints from the XENON100 and CDMS/EDELWEISS experiments. We do however expect that the continued XENON100 run and extension to 1-ton may begin to probe our model. Similarly, our model is also currently under probe by the LHC through a search for events with ultra-high multiplicity hadronic jets, which are a characteristic feature of the distinctive No-Scale F-SU(5) mass hierarchy.
Article
We establish that the light Higgs boson mass in the context of the No-Scale Flipped SU(5) GUT with TeV-scale vector-like matter multiplets (flippons) is consistent with m h =125.5±0.5 GeV in the region of the best supersymmetry (SUSY) spectrum fit to low statistics data excesses observed by ATLAS in multijet and light stop 5 fb−1 SUSY searches at the LHC7. Simultaneous satisfaction of these disparate goals is achieved by employing a minor decrease in the SU(5) partial unification scale M 32 to lower the flippon mass, inducing a larger Higgs boson mass shift from the flippon loops. The reduction in M 32, which is facilitated by a phenomenologically favorable reduction of the low-energy strong coupling constant, moreover suggests an imminently observable (e|μ)+π 0 proton decay with a central value time scale of 1.7×1034 years. At the same point in the model space, we find a lightest neutralino mass of m χ =145 GeV, which is suitable for the production of 130 GeV monochromatic gamma-rays through annihilations yielding associated Z-bosons; a signal with this energy signature has been identified within observations of the galactic center by the FERMI-LAT Space Telescope. In conjunction with direct correlations to the fate of the ATLAS multijet and light stop production channels presently being tested at the LHC8, we suggest that the reality of a 125.5 GeV Higgs boson affords a particularly rich company of specific and imminently testable associated observables.
Article
Full-text available
We construct three flipped SU(5)×UX(1)SU(5)×U(1)X models from F-theory, and consider two such models from free fermionic string model building. To achieve the decoupling scenario in F-theory models and the string-scale gauge coupling unification in free fermionic models, we introduce vector-like particles at the TeV scale that can be observed at the Large Hadron Collider. We study gauge coupling unification, and find that proton decay is within the reach of the future Hyper-Kamiokande experiment. In these models, the doublet–triplet splitting problem and monopole problem can be solved, the neutrino masses and mixings can be explained via the double seesaw or seesaw mechanism, the observed baryon asymmetry can be obtained through leptogenesis, the hybrid inflation can be realized, and the correct cosmic primordial density fluctuations can be generated.
Article
The little hierarchy between the GUT scale and the string scale may give us some hints that can be tested at the LHC. To achieve string-scale gauge coupling unification, we introduce additional vector-like particles. We require that these vector-like particles be standard, form complete GUT multiplets, and have masses around the TeV scale or close to the string scale. Interestingly, only the flipped SU(5)×U(1 models can work elegantly. We consider all possible sets of vector-like particles with masses around the TeV scale. And we introduce vector-like particles with masses close to the string scale which can mimic the string-scale threshold corrections. We emphasize that all of these vector-like particles can be obtained in the interesting flipped SU(5)×U(1 string models from the four-dimensional free fermionic string construction. Assuming the low-energy supersymmetry, high-scale supersymmetry, and split supersymmetry, we show that the string-scale gauge coupling unification can indeed be achieved in the flipped SU(5)×U(1 models. These models can be tested at the LHC by observing simple sets of vector-like particles at the TeV scale. Moreover, we discuss a simple flipped SU(5)×U(1 model with string-scale gauge coupling unification and high-scale supersymmetry by introducing only one pair of the vector-like particles at the TeV scale, and we predict the corresponding Higgs boson masses. Also, we briefly comment on the string-scale gauge coupling unification in the model with low-energy supersymmetry by introducing only one pair of the vector-like particles at the intermediate scale. And we briefly comment on the mixings among the SM fermions and the corresponding extra vector-like particles.
Article
Despite much recent progress in model building with D-branes, it has been problematic to find a completely convincing explanation of gauge coupling unification. We extend the class of models by considering F-theory compactifications, which may incorporate unification more naturally. We explain how to derive the charged chiral spectrum and Yukawa couplings in N=1N = 1 compactifications of F-theory with G-flux. In a class of models which admit perturbative heterotic duals, we show that the F-theory and heterotic computations match.
Article
The little hierarchy between the GUT scale and the string scale may give us some hints that can be tested at the LHC. To achieve string-scale gauge coupling unification, we introduce additional vector-like particles. We require that these vector-like particles be standard, form complete GUT multiplets, and have masses around the TeV scale or close to the string scale. Interestingly, only the flipped SU(5)×UX(1)SU(5)×U(1)X models can work elegantly. We consider all possible sets of vector-like particles with masses around the TeV scale. And we introduce vector-like particles with masses close to the string scale which can mimic the string-scale threshold corrections. We emphasize that all of these vector-like particles can be obtained in the interesting flipped SU(5)×UX(1)SU(5)×U(1)X string models from the four-dimensional free fermionic string construction. Assuming the low-energy supersymmetry, high-scale supersymmetry, and split supersymmetry, we show that the string-scale gauge coupling unification can indeed be achieved in the flipped SU(5)×UX(1)SU(5)×U(1)X models. These models can be tested at the LHC by observing simple sets of vector-like particles at the TeV scale. Moreover, we discuss a simple flipped SU(5)×UX(1)SU(5)×U(1)X model with string-scale gauge coupling unification and high-scale supersymmetry by introducing only one pair of the vector-like particles at the TeV scale, and we predict the corresponding Higgs boson masses. Also, we briefly comment on the string-scale gauge coupling unification in the model with low-energy supersymmetry by introducing only one pair of the vector-like particles at the intermediate scale. And we briefly comment on the mixings among the SM fermions and the corresponding extra vector-like particles.
Article
We report a first attempt at model-building using the fermionic formulation of string theories directly in four dimensions. An example is presented of a supersymmetric flipped SU(5) × U(1) model with three generations and an adjustable hidden sector gauge group. The simplest version of the model contains most of the Yukawa couplings required by phenomenology, but not all those needed to give masses to quarks or conjugate neutrinos. These defects may be remedied in a more general version of the model.
Article
We predict that the lightest CP-even Higgs boson mass lies within the range of 119.0 GeV to 123.5 GeV in the context of No-Scale F-SU(5), a model defined by the convergence of the F-lipped SU(5) Grand Unified Theory, two pairs of hypothetical TeV scale vector-like supersymmetric multiplets with origins in F-theory, and the dynamically established boundary conditions of No-Scale Supergravity. With reports by the CMS, ATLAS, CDF, and D0 Collaborations detailing enticing statistical excesses near 120 GeV in searches for the Standard Model Higgs boson, all signs point to an imminent discovery. While basic supersymmetric constructions such as mSUGRA and the CMSSM have already suffered overwhelming reductions in viable parameterization during the LHC's initial year of operation, about 80% of the original No-Scale F-SU(5) model space remains viable after analysis of the the first 1.1 fb^-1 of integrated luminosity. This model is moreover capable of handily explaining the small excesses recently reported in the CMS multijet supersymmetry search, and also features a highly favorable "golden" subspace which may simultaneously account for the key rare process limits on the muon anomalous magnetic moment (g - 2) and the branching ratio of the flavor-changing neutral current decay b to s\gamma. In addition, the isolated mass parameter responsible for the global particle mass normalization, the gaugino boundary mass M_1/2, is dynamically determined at a secondary local minimization of the minimum of the Higgs potential V_min, in a manner which is deeply consistent with all precision measurements at the physical electroweak scale.
Article
The F-lipped SU(5)×U(1)X grand unified theory supplemented by TeV-scale vectorlike particles from F-theory, together dubbed F-SU(5), offers a natural multiphase unification process which suggests an elegant implementation of the no-scale supergravity boundary conditions at the unification scale MF≃7×1017 GeV. Enforcing the no-scale boundary conditions, including Bμ(MF)=0 on the Higgs bilinear soft term, with the precision 7-year WMAP value on the dark matter relic density isolates a highly constrained “golden point” located near M1/2=455 GeV and tan⁡β=15 in the tan⁡β–M1/2 plane, which simultaneously satisfies all known experiments, and moreover corresponds to an imminently observable proton decay rate. Because the universal gaugino mass is actually determined from established low energy data via renormalization group equation running, there are no surviving arbitrary scale parameters in the present model.
Article
We present the distinctive collider signatures of no-scale F-SU(5), a highly efficient and phenomenologically favored model built on the tripodal foundations of the F-lipped SU(5)×U(1)X grand unified theory, extra F-theory derived TeV scale vectorlike particle multiplets, and the dynamic high-scale boundary conditions of no-scale supergravity. The identifying features of the supersymmetric spectrum are a light stop and gluino, with both sparticles much lighter than all the additional squarks. This unique mass hierarchy leads to the enhanced production of events with an ultrahigh multiplicity of hadronic jets, which should be clearly visible to the √s=7 TeV LHC at only 1 fb-1 of integrated luminosity. We suggest a modest alternative event cutting procedure based around a reduced minimal transverse momentum per jet (pT>20 GeV), and an increased minimal multiplicity (≥9) of distinct jets per subscribed event. These criteria optimize the F-SU(5) signal-to-background ratio, while readily suppressing the contribution of all standard model processes, allowing moreover a clear differentiation from competing models of new physics, most notably minimal supergravity. The characteristic no-scale signature is quite stable across the viable parameter space, modulo an overall rescaling of the mass spectrum; detection by the LHC of the ultrahigh jet signal would constitute a suggestive evocation of the intimately linked stringy origins of F-SU(5) and could possibly provide a glimpse into the underlying structure of the fundamental string moduli.