Slide 1

SUSY Breaking in Local String Models J.P. Conlon, A. Maharana, FQ arXiv:0810.5660 [hep-th] ] R. Blumenhagen, J.P. Conlon, S. Krippendorf, S.Moster, FQ arXiv:0906.xxxx [hep-th] See also S. de Alwis talk here F. Quevedo, Cambridge/CERN. String Phenomenology, Warsaw, June 2009. Slide 2 Phenomenology String Theory String Phenomenology Slide 3 String Model Building: Global Models (e.g. Heterotic) Local Brane Models (e.g. IIB) Slide 4 Bottom-up Approach Gauge group Chiral spectrum Yukawa couplings Gauge couplings Proton stability Flavour symmetries Moduli Stabilisation Cosmological constant SUSY Breaking Scales (unification, axions,) Inflation, Reheating Cosmological moduli problem Global (bulk) Issues Local (brane) Issues Aldazabal,Ibanez, FQ, Uranga 2000 Slide 5 GLOBAL ISSUES Slide 6 LARGE Volume Scenario Slide 7 MODULI STABILISATION 4-cycle size: (Kahler moduli) 3-cycle size: U (Complex structure moduli) + String Dilaton: S Slide 8 Exponentially Large Volumes Perturbative (alpha) corrections to K Example : BBCQ, CQS (2005) Exponentially large volume, broken SUSY, AdS Fluxes Slide 9 De Sitter?: anti D3 or D,F uplifing (Or W~ W 0 + 1 2 e -aT2 ) LARGE volume de Sitter! S. Krippendorf, FQ 2009 Model dependent e.g.: Slide 10 General Conditions for LARGE Volume h 12 > h 11 > 1 At least one blow-up mode (point-like singularity) Blow-up mode fixed by non- perturbative effects, volume by alpha corrections Cicoli, Conlon, FQ Slide 11 e.g. Swiss Cheese Calabi-Yaus e.g. Blumenhagen, et al., Grimm et al., Kreuzer et al. 08 Slide 12 Relevant Scales String scale Ms=M P /V 1/2 Kaluza-Klein scale M KK =M P /V 2/3 Gravitino mass m 3/2 =W 0 M P /V Slide 13 Moduli Masses Dilaton + Complex structure M~m 3/2 =W 0 M P /V Small Kahler moduli M~(lnV)m 3/2 Volume modulus M~W 0 M P /V 3/2 0, b 2 =n+1, 2n-8 parameters, n>3) More general singularities, e.g. Y pq, L abc Slide 19 e.g. Realistic dP 1 Models Standard Model LR Symmetric Model Hierarchy in 3 generation masses! Also: Pati-Salam, etc. Slide 20 GLOBAL/LOCAL MIXING Slide 21 Local/Global Mixing Standard Model in small cycle SM cycle NOT fixed by non-perturbative effects: SM chiral implies: W np = MSSM: =0, so W np =0, (singularity)? Or = Blumenhagen et al.2007 Slide 22 Effective Field Theory I Geometric Regime Slide 23 Effective Field Theory II Around the Singularity (Blow-up Regime) Slide 24 SUSY BREAKING Slide 25 SM Cycle does not break SUSY! Fayet-Iliopoulos 0 Sequestered moduli/gravity mediated SUSY Breaking No-scale (vanishing soft terms)Suppressed ! Slide 26 Gravity/Moduli Mediated Soft-terms Soft terms New Scenarios Scalars 1/V 3/2, others 1/V 2 All a/V 3/2 All 1/V 2 Loop corrections ~ b/V 5/3 M string ~10 13 -10 15 GeV Gauge mediation? (F X /x>m General Properties Uplifting to de Sitter important Gravitino very heavy M 3/2 >10 8 GeV !! Generically no CMP!!!! (M volume >M soft ) Minimal volume V~10 6-7. TeV soft terms and M string ~10 15 GeV Unification scale M X ~ M string V 1/6 ~10 16 GeV ! Right scale for inflation! No CMP !!! Conlons talk De Alwis 2006 Slide 30 Conclusions Continuous progress in this `Decade of Applied String Theory Bottom-up (Local Model Building) fits with Large Volume Realistic models at singularities: powerful quiver/dimer constructions New SUSY breaking scenarios with TeV soft terms and GUT scale unification Alleviate tension between low energy SUSY and cosmology Generically no CMP!!! Open challenges (compact CY, detailed susy breaking, EFT in F-theory models,)