ONEPARAMETER MODEL FOR THE SUPERWORLD Dimitri V Nanopoulos

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

Minimal Supergravity (m. SUGRA) M 0 Universal soft scalar mass M 1/2 Universal soft gaugino mass μ Higgsino Mixing Parameter A 0 Universal Trilinear Coupling B 0 Higgs Bilinear Coupling tan β Ratio of Higgs VEVs |μ| and B 0 term can be determined by the requirement for REWSB, so we are left with only five parameters: M 0, M 1/2, A 0, tan β, and sgn(μ)

No-scale Supergravity (n. SUGRA) Choose a specific form for the Kähler potential: K = -3 ln(T + T* - Σφi*φi) At the tree-level Furthermore the gaugino mass m 1/2 remains undetermined. Thus, the soft terms are not fixed (at the classical level) close to the Planck scale. m =m (Ti) So, 1/2 with <Ti> determined by radiative corrections. m 1/2, m 0 = 0, A 0 = 0, B=0 Thus, in principle all soft-terms may be determined in terms of only one-parameter, m 1/2 The One-Parameter Model

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)

The n. SUGRA ‘One-Parameter Model’ Strict No-scale Moduli Scenario: m 0 = 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 m 1/2 Subset of the m. SUGRA parameter space Highly constrained, but predictive! _______________________________ Ellis, Kounnas, and DVN, Nucl. Phys. B 247: 373 -395, 1984 Lopez, DVN, and Zichichi, Phys. Lett. B 319: 451 -456, 1993 Lopez, DVN, and Zichichi, Int. J. Mod. Phys. A 10: 4241 -4264, 1995 Lopez, DVN, and Zichichi, Phys. Rev. D 52: 4178 -4182, 1995

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 Bs 0→μ+μ 103334 YYr • Proton Lifetime greater than 81 x � 10 • 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.

Discovery of No-Scale F-SU(5) Signal at LHC No-Scale F-SU(5) with vectorlike particles (b 3 = 0) SUSY spectrum M~t 1 < Mg~ < M~q 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 5 -10 fb-1@7 Te. V: ≥ 9 jets ≥ 1τ & ≥ 3 b-jets

F-SU(5) has peak in number of events shifted to a large number of jets Standard Model and m. SUGRA 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 Ge. V for M 1/2<500 Ge. V → Maintain pt for a single jet at 50 -80 Ge. V for M 1/2>500 Ge. V → Retain only those events with 9 or more jets

M 1/2 708 Ge. V MV 3215 Ge. V tanβ 22. 22 mt 174. 4 Ge. V Ω∙h 2 0. 1138 Br(BS 0� μ+ μ- ) 3. 5 x 10 -9 Br(b� sγ) 3. 15 x 10 -4 m. LSP 143 Ge. V mstop 1 786 Ge. V mgluino 952 Ge. V mu. Lsquark 1490 Ge. V mh 124. 4 Ge. V

ØNo-Scale F-SU(5) Built Upon Triagonal Foundation of i. Flipped SU(5) GUT ii. Extra Te. V-Scale Vector-like Particle, or Flippons iii. No-Scale Supergravity ØF-SU(5) Supersymmetry signature at LHC is ≥ 9 jets Flippons�b 3=0 �Light Gluino �Gluino Decays to Stop �Abundance of Top Quarks �Large Multijet Signature ØF-SU(5) Fits Recent CMS & ATLAS Multijet Observations at LHC • M 1/2=708 Ge. V perfectly explains small ATLAS data event excesses for 5 fb-1 • F-SU(5) M 1/2=708 Ge. V will predict ATLAS Observations for 10 fb-1 ØFlippons contribution in F-SU(5) elevates Higgs mass to 125 Ge. V, in precise agreement with CMS, ATLAS, and CDF/D 0 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!