1. ONE-PARAMETER MODEL FOR THE SUPERWORLD
Dimitri V. Nanopoulos
International School of Subnuclear Physics – 50th
What we would like LHC to give us
Erice, Sicily, Italy
23 June – 2 July 2012

3. Minimal Supergravity (mSUGRA)
M Universal soft scalar mass
M1/2 Universal soft gaugino mass
μ Higgsino Mixing Parameter
A Universal Trilinear Coupling
B Higgs Bilinear Coupling
tan β Ratio of Higgs VEVs
|μ| and B0 term can be determined by the requirement for REWSB,
so we are left with only five parameters:
M0, M1/2, A0, tan β, and sgn(μ)

5. No-scale Supergravity (nSUGRA)
Choose a specific form for the Kähler potential:
K = -3ln(T + T* - Σφi*φi)
At the tree-level
Furthermore the gaugino mass m1/2 remains undetermined. Thus, the
soft terms are not fixed (at the classical level) close to the Planck scale.
So, m1/2 =m1/2(Ti)
with <Ti> determined by radiative corrections.
m1/2, m0 = 0, A0 = 0, B = 0
Thus, in principle all soft-terms may be determined in terms
of only one-parameter, m1/2
The One-Parameter Model

7. Relation to String Theory
The no-scale structure emerges naturally as the
infrared limit of string theory.
In particular,
Heterotic M-theory compactifications
Type IIB flux compactifications – Flipped SU(5)
F-theory compactifications (non-pertubative limit
of Type IIB)

8. The nSUGRA ‘One-Parameter Model’
Strict No-scale Moduli Scenario: m0 = A = B = 0
Special Dilaton Scenario:
These ansatz combined with the no-scale condition define the so-called
one-parameter model since the soft-terms are now all defined in terms m1/2
Highly constrained, but
predictive!
Subset of the mSUGRA parameter space
______________________________________________________________
Ellis, Kounnas, and DVN, Nucl.Phys.B247: ,1984
Lopez, DVN, and Zichichi, Phys.Lett.B319: ,1993
Lopez, DVN, and Zichichi, Int.J.Mod.Phys.A10: ,1995
Lopez, DVN, and Zichichi, Phys.Rev.D52: ,1995

18. Key Experimental Constraints
7-Year WMAP Cold Dark Matter Relic Density Measurement
Experimental limits on the Flavor Changing Neutral Current process b → sg
Anomalous magnetic moment of the muon
LHC Limits on rare decay Bs0→μ+μ-
Proton Lifetime greater than 8 x 1033 Y
LEP limits on the light CP even Higgs mass
Compliance with all precision electroweak measurements (Mz, as, QW, aem, mt, mb)
* The Weinberg angle floats mildly according to original program design.
1  1034 Yr

25. Discovery of No-Scale F-SU(5) Signal at LHC
No-Scale F-SU(5) with vectorlike particles (b3 = 0) SUSY spectrum Mt1 < Mg < Mq
Prominent decay channels have high multiplicity of third-generation quarks:
Pair produced gluinos generate events rich with jets and tau.
Considered excellent channel for discovery during early LHC run.
Suggested LHC early run signatures for ≥ 9 jets
≥1τ & ≥ 3 b-jets ~ ~ ~

26. F-SU(5) has peak in number of events shifted to a large number of jets
Standard Model and mSUGRA processes have a peak at a lower number of jets
This will serve as a very distinct signature of F-SU(5) with vector-like particles
However, requires specialized cuts to observe this very distinct characteristic!
→ Lower minimum pt for a single jet to 20 GeV for M1/2<500 GeV
→ Maintain pt for a single jet at GeV for M1/2>500 GeV
→ Retain only those events with 9 or more jets

31. M1/2
708 GeV MV
3215 GeV
tanβ
22.22 mt
174.4 GeV
Ω∙h2
0.1138
Br(BS0μ+μ-)
3.5x10-9
Br(bsγ)
3.15x10-4
mLSP
143 GeV
mstop1
786 GeV
mgluino
952 GeV
muLsquark
1490 GeV mh
124.4 GeV

35. No-Scale F-SU(5) Built Upon Triagonal Foundation of
i. Flipped SU(5) GUT
ii. Extra TeV-Scale Vector-like Particle, or Flippons
iii. No-Scale Supergravity
F-SU(5) Supersymmetry signature at LHC is ≥9 jets
Flippons b3=0  Light Gluino  Gluino Decays to Stop
 Abundance of Top Quarks  Large Multijet Signature
F-SU(5) Fits Recent CMS & ATLAS Multijet Observations at LHC
•M1/2=708 GeV perfectly explains small ATLAS data event excesses for 5 fb-1
•F-SU(5) M1/2=708 GeV will predict ATLAS Observations for 10 fb-1
Flippons contribution in F-SU(5) elevates Higgs mass to 125 GeV, in precise agreement with CMS, ATLAS, and CDF/D0 observations
F-SU(5) is highly consistent with CMS & ATLAS searches
for both SUSY and the Higgs boson
SUSY & Higgs boson signals could be statistically significant in 2012
Is F-SU(5) the high-energy framework for our universe? Stay tuned in 2012!