Exceptional Grand Unification at the LHC

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1 0/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC Hints of Exceptional Grand Unification at the LHC Ju rgen R. Reuter DESY Hamburg Seminar, SLAC, 4. May 2012 SLAC,

2 1/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Supersymmetric Grand Unification

3 2/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Prime Example: (SUSY) SU(5) SU(5) MX SU(3) c SU(2) w U(1) Y MZ SU(5) has = 24 generators: SU(3) c U(1) em 24 (8, 1) 0 (1, 3) 0 (1, 1) 0 }{{}}{{}}{{} W B G β α (3, 2) 5 3 }{{} X,Y (3, 2) 5 3 }{{} X,Ȳ

4 2/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Prime Example: (SUSY) SU(5) SU(5) MX SU(3) c SU(2) w U(1) Y MZ SU(5) has = 24 generators: SU(3) c U(1) em 24 (8, 1) 0 (1, 3) 0 (1, 1) 0 }{{}}{{}}{{} W B G β α 24 A = g A a λa 2 = g 2G a λa GM 2 a=1 2 X X X Y Y Y 2 g 2 15 B (3, 2) 5 3 }{{} X,Y X X X Ȳ Ȳ Ȳ 2W a σ (3, 2) 5 3 }{{} X,Ȳ

5 3/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Fermions (Matter superfields) Only possible way to combine matter: d c 0 u c u c u d d c 5 = : d c 1 u c 0 u c u d = : u c u c 0 u d l 2 u u u 0 e c ν l d d d e c 0 Remarks 5 = (3, 1) 2 3 (1, 2) 1 = (3, 2) 1 3 (3, 1) 4 3 (1, 1) 2 2 = = 2, (5 5)a =, (3 3) a = 3, ( ) a = Quarks and leptons in the same multiplet Condition of tracelessness (color!) 5 and have equal and opposite anomalies ν c must be SU(5) singlet

6 4/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Interactions e e ν Leptoquark couplings d X u Y d Y (and SUSY vertices) u u Diquark couplings u X d Y (and SUSY Vertices) Vector bosons induce e.g. decay p e + π 0 u u Y d e + d

7 4/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Interactions e e ν Leptoquark couplings d X u Y d Y (and SUSY vertices) u u Diquark couplings u X d Y (and SUSY Vertices) Proton Lifetime with α(m GUT ) 1 24 and M GUT 2 16 GeV: τ(p e + π 0 M ) 4 GUT [α(m GUT )] 2 m 31±1 years 5 p

8 5/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, The Doublet-Triplet Splitting SU(5) breaking: Higgs Σ in adjoint 24 rep. Σ = w diag(1, 1, 1, 3 2, 3 2 ) M X = M Y = g w other breaking mechanisms possible (e.g. orbifold)

9 5/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, The Doublet-Triplet Splitting SU(5) breaking: Higgs Σ in adjoint 24 rep. Σ = w diag(1, 1, 1, 3 2, 3 2 ) M X = M Y = g w other breaking mechanisms possible (e.g. orbifold) (MS)SM Higgs(es) in = : D D D h + h 0 5 = : D c D c D c h h 0 5 = (3, 1) 2 3 (1, 2) 1 5 = (3, 1) 2 3 (1, 2) 1 D, D c coloured triplets with charges ± 1 3 induce proton decay, too mh 0 GeV, m D 16 GeV Doublet-Triplet Splitting Problem

10 6/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Proton Decay experimentum crucis for GUTs Tracking calorimeter (SOUDAN) or RICH Cerenkov counter Super-Kamiokande: 50 kt water RICH For reconstruction: measure time and location γ γ 0 π P + e

11 6/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Proton Decay experimentum crucis for GUTs Tracking calorimeter (SOUDAN) or RICH Cerenkov counter Super-Kamiokande: 50 kt water RICH For reconstruction: measure time and location γ γ π 0 P + e Kanal τ p( 30 years) p invisible 0.21 p e + π p µ + π p νπ + 25 p νk p e + η p µ + η p e + ρ 0 75 p µ + ρ 0 1 p νρ p e + ω 0 00 p µ + ω p e + K p µ + K p νk p e + γ 670 p µ + γ 478 New experiments: HyperK (1 Mt), UNO (650 kt), European project Fréjus (1 Mt) Precision: years running = years

12 7/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Why chiral exotics? JRR/Kilian, PLB 642 (2006), 81, JRR Proof of Unification only with megatons? What about colliders? SPA: Super precision accurately Alternative: Search for chiral exotics Physics beyond the MSSM as lever-arm to GUT scale µ problem NMSSM trick Singlett Superfield with TeV-scale vacuum expectation value Doublet-Triplet Splitting Problem; Longevity of the Proton Keep D, D c superfields at the TeV scale New mechanism against proton decay Different unification scenario Proton Decay Flavour symmetry can save the proton Discrete parity eliminates either LQ/DQ couplings

13 8/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Exceptional Lie Algebras Lie, 1881; Dynkin, An (n > 1) n 1 n Bn (n > 2) n 1 n Cn (n > 1) 0 1 n 1 n 1 n 1 Dn (n > 3) 2 3 n 3 n 2 0 n 0 6 E E E F G

14 9/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, E 6 SUSY Grand Unification Supersymmetry: allows consistent extrapolation to (very) high scales Two Higgs doublets H u, H d SM superpartners at the TeV scale Bottom-Up approach: Matter-Higgs unification only MSSM Ansatz: all new particles at the TeV scale α i U(1) SU(2) SU(3) MSSM µ (GeV) Q L = (3, 2) 1 6,Q Q u c = ( 3, 1) 2 3,Q u d c = ( 3, 1) 1 3,Q d L L = (1, 2) 1 2,Q L ν c = (1, 1) 0,Q ν =0 e c = (1, 1) 1,Q e H u = (1, 2) 1 2,Q H u H d = (1, 2) 1 2,Q H d D = (3, 1) 1 3, Q D S = (1, 1) 0,Q S 0 D c = ( 3, 1) 1 3, Q D

15 /34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Running With Triplets Kilian/JR, 2006 Bottom-up approach: MSSM with one generation of triplets 60 Running of 1/α, MSSM with 1 [(Hu, D) (Hd, D c )] SU(3)c SU(2)L SU(2)R 40 1/α1 1/α2 20 1/α3 1/α log (µ [GeV]) 15 GeV: crossing of SU(2) L and U(1) Y unification to LR symmetry SU(2) L SU(2) R, requires ν c R SU(3) c crosses at 21 GeV: too high

16 /34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Running With Triplets Kilian/JR, 2006 Bottom-up approach: MSSM with one generation of triplets 60 Running of 1/α, MSSM with 1 [(Hu, D) (Hd, D c )] SU(4)c SU(2)L SU(2)R 40 1/α1 1/α2 20 1/α3 1/α log (µ [GeV]) 15 GeV: crossing of SU(2) L and U(1) Y unification to LR symmetry SU(2) L SU(2) R, requires ν c R SU(3) c crosses at 21 GeV: too high extend to SU(4) C : unification possible at 18 GeV

17 11/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Running With Triplets Kilian/JR, 2006 Complete Model: Full SUSY E 6 /G Tri matter spectrum above 3 GeV, except ν c 60 Running of 1/α, MSSM with 3 [(Hu, D) (Hd, D c )] SU(4)c SU(2)L SU(2)R 40 1/α1 20 1/α2 1/α log (µ [GeV]) PS symmetry with ν R above 15 GeV Q L = (Q, L) = (4, 2, 1) D = (D, D c ) = (6, 1, 1) Q R = ((u c, d c ), (ν c, l c )) = (4, 1, 2) S = (1, 1, 1) H = (H u, H d ) = (1, 2, 2) E 6 symmetry (and possibly extra fields) at 18 GeV

18 12/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Intermediate Pati-Salam symmetry JRR et al , King et al Additional particles destroy MSSM unification Unification below Λ P lanck with intermediate SU(4) SU(2) L SU(2) R[ U(1) χ] Pati-Salam symmetry at GeV Α i SM U 1 ' Pati Salam U 1 Χ E 6 U 1 U 1 Y SU 2 L SU 3 SU 2 L R U 1 Χ SU Μ GeV SU(2) R and SU(2) L: identical content/running Crossing of SU(4) with SU(2) L/R couplings determines E 6 scale Lepton number: 4. colour T 15 SU(4) B L 2 Y = B L 2 + T 3 R U(1) Matching condition 1 g 2 Y = g B L 2 5 g R 2 Integrating out ν c : (see-saw) correct breaking

19 13/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, U(1) Mixing Braam/Knochel/JRR, JHEP 06:013; King et al., 2009, Braam/JRR, EPJC 72 (2012) 1885 Two U(1) factors below the intermediate scale Kinetic mixing: non-rational coefficients (gauge couplings) L = i g i Q a i Aµ i ψ a γµ ψ a 1 4 F µν δ i ij F µν,j 1 4 F µν Z i ij F µν,j. Effects for the running: 60 U 1 Y 60 U 1 U 1 U 1 Y 50 U U U U Αi 30 SU 2 L U 1 B L 1 Αi 30 SU 2 L 20 U 1 Χ 20 U 1 Χ B L SU 3 SU Μ GeV Μ GeV

20 13/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, U(1) Mixing Braam/Knochel/JRR, JHEP 06:013; King et al., 2009, Braam/JRR, EPJC 72 (2012) 1885 Two U(1) factors below the intermediate scale Kinetic mixing: non-rational coefficients (gauge couplings) L = i g i Q a i Aµ i ψ a γµ ψ a 1 4 F µν δ i ij F µν,j 1 4 F µν Z i ij F µν,j. Effects for the running: 60 U 1 Y 60 U 1 Y U 1 50 U 1 50 U 1 1 U U U 1 2 Αi 30 SU 2 L Αi 30 SU 2 L 20 U 1 Χ B L 20 U 1 B L Χ SU 3 SU Μ GeV Μ GeV

21 13/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, U(1) Mixing Braam/Knochel/JRR, JHEP 06:013; King et al., 2009, Braam/JRR, EPJC 72 (2012) 1885 Two U(1) factors below the intermediate scale Kinetic mixing: non-rational coefficients (gauge couplings) L = i g i Q a i Aµ i ψ a γµ ψ a 1 4 F µν δ i ij F µν,j 1 4 F µν Z i ij F µν,j. Effects for the running: 60 U 1 Y 60 U 1 Y U 1 50 U 1 50 U 1 1 U U U 1 2 Αi 30 SU 2 L Αi 30 SU 2 L 20 U 1 Χ B L 20 U 1 B L Χ SU 3 SU Μ GeV Μ GeV Same effect for soft-breaking terms: interesting singlino mixing

22 14/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, The Superpotential / Sketch of a Model Kilian/JR, 2006 Superpotential: W= W MSSM + W D + W N W MSSM = Y u u c QH u + Y d d c QH d + Y e e c LH d W D = Y D Du c e c + Y Dc D c QL W S = Y S H SH u H d + Y S D SDD c Corresponding soft-breaking terms t/ t drive m 2 H u negative D/ D drive m 2 S negative U(1) D-terms provide large enough S quartics (and H quartics) Configuration drives system to large S 1 2 TeV R parity is not sufficient to protect proton: discrete parity to distinguish LQ/DQ couplings (or flavor symmetry) Flavored Higgs sector: additional parity to beware of FCNCs H parity Griest/Sher, 1989

23 15/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Problems and E 6 /Pati-Salam breaking JRR et al., 2012 E 6 superpotential vanishes E 6 operators generate PS superpotential Power suppression: top Yukawa? discrete symmetry to discriminate lepto-/diquark couplings/h-parity violate GUT multiplet structure strong constraints from perturbativity above Λ P S Difficulties to find representations for PS breaking 27, 351, and 351 break E 6 to rank 5 U(1) χ broken, no quartic singlet potential No rank reduction: adjoint breaking Breaking through (27)(27) or = smallest rep for E6 G P S U(1) Possible to construct superpotential which does the breaking and allows leptoquark couplings

24 15/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Problems and E 6 /Pati-Salam breaking JRR et al., 2012 E 6 superpotential vanishes E 6 operators generate PS superpotential Power suppression: top Yukawa? discrete symmetry to discriminate lepto-/diquark couplings/h-parity violate GUT multiplet structure strong constraints from perturbativity above Λ P S Difficulties to find representations for PS breaking 27, 351, and 351 break E 6 to rank 5 U(1) χ broken, no quartic singlet potential No rank reduction: adjoint breaking Breaking through (27)(27) or = smallest rep for E6 G P S U(1) Possible to construct superpotential which does the breaking and allows leptoquark couplings

25 16/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Automatic Irrep Decomposition Mallot/JRR; Horst/JRR: CleGo, CPC (2011) 27

26 16/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Automatic Irrep Decomposition Mallot/JRR; Horst/JRR: CleGo, CPC (2011) 78

27 16/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ ¾ 2 ¾ 2 ¾ ¾ ¾ ¾ ¾ 2 ¾ ¾ ¾ 2 2 ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ 2 ¾ 2 ¾ ¾ ¾ ¾ 2 2 ¾ ¾ 2 2 ¾ ¾ ¾ 2 ¾ 2 ¾ 2 ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ 2 2 ¾ 2 ¾ ¾ 2 2 ¾ ¾ 2 2 ¾ ¾ ¾ ¾ 2 ¾ 2 2 ¾ 2 ¾ 2 ¾ 2 ¾ ¾ ¾ 2 2 ¾ ¾ 2 ¾ ¾ 2 2 ¾ ¾ ¾ 2 ¾ 2 ¾ ¾ ¾ 2 ¾ ¾ ¾ ¾ ¾ ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ ¾ ¾ ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ ¾ 2 ¾ ¾ ¾ ¾ 2 ¾ 2 ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ 2 ¾ ¾ ¾ ¾ ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ ¾ ¾ ¾ 2 ¾ ¾ 2 ¾ 2 2 ¾ 2 2 ¾ 2 ¾ 2 ¾ ¾ 2 ¾ ¾ 2 2 ¾ ¾ ¾ ¾ ¾ ¾ ¾ 2 ¾ ¾ ¾ ¾ ¾ 2 ¾ ¾ 2 ¾ 2 ¾ 2 ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ Automatic Irrep Decomposition Mallot/JRR; Horst/JRR: CleGo, CPC (2011) ¾ ¾

28 16/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Automatic Irrep Decomposition Mallot/JRR; Horst/JRR: CleGo, CPC (2011) 2925 ¾ ¾ ¾ ¾ 2 2 ¾ 2 ¾ 2 ¾ ¾ 2 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 2 ¾ 2 ¾ 2 ¾ ¾ ¾ ¾ 2 ¾ 2 ¾ 2 ¾ ¾ ¾ 2 ¾ 2 ¾ 2 ¾ ¾ 2 2 ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ ¾ 2 ¾ ¾ 2 ¾ ¾ ¾ ¾ ¾ ¾ 2 2 ¾ 2 ¾ ¾ 2 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 2 ¾ ¾ ¾ 2 2 ¾ 2 ¾ ¾ ¾ 2 2 ¾ ¾ 2 ¾ ¾ ¾ ¾ ¾ ¾ ¾ 3 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ 2 ¾ ¾ 2 ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ ¾ 2 2 ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ ¾ 2 ¾ 2 ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ ¾ 2 ¾ ¾ 2 2 ¾ ¾ 2 2 ¾ ¾ ¾ ¾ 2 ¾ 2 ¾ 2 2 ¾ ¾ ¾ 2 ¾ 2 ¾ ¾ ¾ 2 ¾ 2 2 ¾ 2 ¾ ¾ 2 2 ¾ 3 ¾ ¾ ¾ ¾ 2 2 ¾ 3 ¾ 2 ¾ 2 2 ¾ 2 ¾ 2 ¾ 2 2 ¾ 2 ¾ ¾ 2 ¾ 2 2 ¾ 2 ¾ 2 ¾ 2 ¾ ¾ ¾ ¾ ¾ 2 ¾ ¾ ¾ 3 ¾ 2 ¾ ¾ ¾ ¾ ¾ ¾ 2 ¾ ¾ 2 ¾ 3 ¾ 2 ¾ 2 ¾ 2 ¾ ¾ 3 ¾ 2 ¾ ¾ ¾ ¾ 2 2 ¾ ¾ ¾ ¾ ¾ ¾ ¾ 2 2 ¾ ¾ ¾ ¾ 2 ¾ 3 2 ¾ 2 ¾ ¾ ¾ ¾ 2 ¾ 2 ¾ ¾ 2 ¾ 2 2 ¾ ¾ ¾ 3 ¾ 2 ¾ ¾ 2 ¾ 2 ¾ 3 ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ ¾ 2 ¾ 2 2 ¾ ¾ 3 2 ¾ 2 ¾ ¾ 3 ¾ 2 ¾ 2 ¾ ¾ ¾ 2 2 ¾ ¾ 2 2 ¾ ¾ ¾ ¾ 2 2 ¾ ¾ 2 ¾ 2 ¾ 2 ¾ ¾ 2 ¾ ¾ 2 ¾ 3 ¾ 3 2 ¾ 2 2 ¾ 3 ¾ 2 ¾ ¾ 2 ¾ 2 2 ¾ 2 ¾ 2 ¾ 2 ¾ ¾ 3 ¾ ¾ 3 ¾ ¾ 2 ¾ 2 2 ¾ ¾ 3 ¾ 2 2 ¾ 3 ¾ ¾ 3 3 ¾ 3 ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ 2 ¾ 2 2 ¾ 2 ¾ 2 ¾ ¾ 2 3 ¾ 3 ¾ 2 2 ¾ 3 ¾ ¾ 2 ¾ ¾ 2 ¾ 3 ¾ ¾ 2 ¾ ¾ 2 ¾ 3 ¾ 3 ¾ ¾ 2 ¾ 2 ¾ ¾ 2 3 ¾ 2 ¾ ¾ 3 ¾ 2 2 ¾ 2 2 ¾ ¾ ¾ 3 ¾ 2 ¾ 3 ¾ 2 ¾ ¾ 2 ¾ 2 2 ¾ 2 ¾ ¾ 3 2 ¾ ¾ 2 ¾ 2 ¾ ¾ 3 3 ¾ ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ 3 ¾ 2 ¾ ¾ 2 2 ¾ ¾ ¾ 2 ¾ 2 ¾ 2 2 ¾ 3 ¾ 2 ¾ ¾ 3 ¾ ¾ 3 ¾ ¾ 2 ¾ 2 3 ¾ ¾ 2 ¾ 2 ¾ ¾ 2 ¾ 3 ¾ ¾ ¾ ¾ 3 ¾ 2 ¾ 2 ¾ ¾ 3 ¾ ¾ ¾ 2 ¾ 2 ¾ 2 ¾ 2 2 ¾ 2 ¾ 2 3 ¾ ¾ ¾ 2 ¾ 3 ¾ ¾ 2 3 ¾ 3 2 ¾ ¾ ¾ ¾ 2 ¾ 2 ¾ ¾ 2 ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ 2 ¾ ¾ ¾ ¾ 2 ¾ ¾ 2 2 ¾ ¾ 2 ¾ 2 ¾ 2 2 ¾ ¾ 2 2 ¾ 2 ¾ ¾ 2 2 ¾ 2 2 ¾ ¾ 2 2 ¾ ¾ ¾ 2 ¾ ¾ ¾ ¾ 2 ¾ 2 2 ¾ ¾ ¾ 2 2 ¾ ¾ ¾ ¾ ¾ ¾ 2 ¾ 2 2 ¾ ¾ 2 ¾ ¾ ¾ ¾ 2 ¾ ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 3 ¾ ¾ ¾ ¾ ¾ 2 ¾ 2 ¾ 2 ¾ ¾ 3 ¾ ¾ 2 3 ¾ 2 2 ¾ 3 2 ¾ ¾ ¾ 2 ¾ 2 ¾ ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ ¾ ¾ ¾ ¾ ¾ ¾ 2 ¾ 2 ¾ 3 ¾ ¾ ¾ 2 2 ¾ 3 ¾ ¾ 2 ¾ 3 ¾ ¾ 2 ¾ 2 ¾ ¾ 2 ¾ 3 ¾ 2 ¾ ¾ ¾ 3 ¾ 2 ¾ ¾ 2 2 ¾ ¾ ¾ 2 ¾ ¾ 2 ¾ ¾ ¾ 3 ¾ ¾ 3 ¾ ¾ 2 3 ¾ 3 ¾ 2 ¾ 2 ¾ ¾ ¾ 2 2 ¾ ¾ 2 2 ¾ ¾ 2 ¾ 2 ¾ ¾ 2 ¾ ¾ 3 2 ¾ 3 ¾ 2 2 ¾ ¾ ¾ 2 ¾ ¾ 3 2 ¾ ¾ 2 2 ¾ 2 ¾ ¾ 2 ¾ 2 ¾ ¾ 3 ¾ 2 ¾ ¾ 3 ¾ ¾ ¾ ¾ ¾ 2 ¾ ¾ 3 ¾ 2 ¾ 3 ¾ 3 ¾ 2 ¾ ¾ 3 ¾ ¾ ¾ ¾ 2 ¾ 2 2 ¾ 2 ¾ ¾ ¾ 2 2 ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ 2 ¾ ¾ 2 ¾ 3 2 ¾ 2 2 ¾ ¾ 2 ¾ ¾ ¾ ¾ ¾ ¾ ¾ 3 ¾ ¾ ¾ 2 ¾ ¾ 3 ¾ 2 ¾ 2 3 ¾ 2 2 ¾ 2 ¾ 2 ¾ 3 2 ¾ ¾ ¾ 2 3 ¾ 3 2 ¾ 2 ¾ ¾ ¾ ¾ 2 ¾ ¾ ¾ ¾ 2 ¾ 2 2 ¾ ¾ 2 ¾ ¾ 2 ¾ 2 ¾ 3 ¾ 3 ¾ ¾ 2 ¾ 2 ¾ ¾ ¾ ¾ ¾ 2 ¾ ¾ 2 ¾ 3 2 ¾ 2 ¾ ¾ 2 2 ¾ ¾ ¾ 3 ¾ 2 2 ¾ 2 2 ¾ 2 ¾ 3 ¾ ¾ 3 ¾ ¾ ¾ 2 2 ¾ ¾ 2 2 ¾ ¾ 2 ¾ 2 ¾ 3 ¾ 2 2 ¾ ¾ ¾ ¾ 2 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ 3 ¾ ¾ 2 ¾ 2 ¾ ¾ 3 ¾ 2 2 ¾ 2 ¾ 2 ¾ ¾ 2 ¾ 2 ¾ ¾ 2 ¾ ¾ 2 ¾ 2 ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ 2 2 ¾ ¾ ¾ 2 ¾ 2 2 ¾ 2 2 ¾ ¾ 2 ¾ 2 ¾ 2 ¾ ¾ 2 2 ¾ 2 ¾ ¾ 2 2 ¾ 3 ¾ 2 ¾ ¾ 2 ¾ 2 2 ¾ 2 2 ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ ¾ ¾ ¾ 2 2 ¾ 2 ¾ ¾ 3 ¾ 2 ¾ 2 ¾ 2 2 ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ 2 ¾ 2 ¾ ¾ ¾ 2 2 ¾ ¾ 2 ¾ ¾ ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ ¾ 3 ¾ ¾ 2 2 ¾ ¾ 2 2 ¾ 2 ¾ ¾ ¾ ¾ ¾ ¾ 2 2 ¾ ¾ ¾ 2 ¾ 2 ¾ 2 ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ ¾ 2 ¾ ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ ¾ 2 2 ¾ ¾ ¾ 2 ¾ 2 ¾ 2 2 ¾ ¾ 2 ¾ ¾ ¾ 2 2 ¾ ¾ 2 ¾ 2 ¾ ¾ 2 ¾ ¾ 2 2 ¾ ¾ 2 2 ¾ ¾ ¾ ¾ 2 2 ¾ 2 2 ¾ 2 ¾ 2 ¾ ¾ 2 2 ¾ 2 2 ¾ 2 2 ¾ ¾ 2 2 ¾ ¾ 2 2 ¾ 2 2 ¾ ¾ 2 ¾ ¾ 2 2 ¾ ¾ ¾ ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ ¾ ¾ ¾ 2 2 ¾ 2 ¾ 2 ¾ 2 ¾ ¾ 2 ¾ ¾ ¾ 2 ¾ 2 ¾ 2 ¾ 2 ¾ ¾ 2 2 ¾ 2 ¾ 2 ¾ ¾ 2 ¾ 2 ¾ ¾ 2 ¾ 2 ¾ 3 ¾ ¾ 3 ¾ ¾ 2 ¾ 3 ¾ ¾ ¾ 3 ¾ 2 ¾ 3 ¾ 2 ¾ 2 2 ¾ 3 ¾ 2 3 ¾ 2 ¾ 3 2 ¾ 2 ¾ 2 3 ¾ 2 ¾

29 17/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Alternative: Orbifold Breaking in Extra Dimensions Asaki/Buchmüller/Covi, 01-02; Hebecker/Ratz, 03; Kobayashi/Raby/Zhang, 04; Förste/Nilles/Wingerter, 05; Buchmüller/Hamaguchi/Lebedev/Ratz, 07; Lebedev/Nilles/Raby/Ramos-Sanchez/Ratz/Vaudrevange, 07-08; Groot Nibbelink/Held/Ruehle/Trapletti/Vaudrevange, 09

30 17/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Alternative: Orbifold Breaking in Extra Dimensions

31 17/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Alternative: Orbifold Breaking in Extra Dimensions

32 17/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Alternative: Orbifold Breaking in Extra Dimensions

33 18/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, PS models from 5D orbifolds Braam/Knochel/JRR, JHEP 06:013 SO() U(1)χ E 6 P S U(1) breaking on S 1 /(Z 2 Z 2 ) r r t SO() 6Qχ 16 1 SU(6) SU(2) L SU(6) SU(2) (15, 1) (4, 1, 2) 1/2 (6, 1, 1) 1 (1, 1, 1) 2 (6, 2) (4, 2, 1) 1/2 (1, 2, 2) 1 LQ/DQ couplings from: 16 16, , no way to forbid either of them Anomalies: SU(6) SU(2) fixed point only vector-like matter Gauge shifts: V = ( 1 2, 1 2, 0, 1 2, 1 2, 0), V = ( 1 2, 1 2, 1 2, 1 2, 1 2, 0) 5D E 6 78 vector multiplet 16 3/ /2, (20, 2) 4 bulk 5D E 6 27 hypermultiplet with Z 2 Z 2 parities (++), ( ), ( +), (+ ) (6, 1, 1) 1 + (1, 1, 1) 2, (4, 2, 1) 1 2, (4, 1, 2) 1 2, (1, 2, 2) 1 3rd gen. from 2 bulk hypermultiplets + a brane-localized LQ-/DQ couplings generated (only simultaneously), but must be rendered small by hand

34 19/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, LR Models from 6D Orbifolds Braam/Knochel/JRR, JHEP 06:013 Consider: R 4 (R 2 /Γ), Γ one of the 17 crystallographic groups Use shifts of the bulk E 6 root lattice + discrete Wilson lines on the tori E 6 SU(3) SU(2) 2 U(1) 2 breakings through Z 2, Z 3, Z 4, Z 6 : t2 t2 r r t2 r r t2 r r3 r r r r r r6 r2 t1 t1 t1 t1 H Parity: at least one fixed point to distinguish Higgs/Matter at least one fixed point to discriminate LQ/DQ couplings ( ) ) θ Z n Orbifold compactification breaks SUSY ξ 1, ξ 2 (e iπ/n ξ 1, e iπ/n ξ 2 4D N = 1 SUSY conserved by either: Using D Lorentz phases: [ ] θ = exp A 4 [Γ5, Γ 6 ] + B 4 [Γ7, Γ 8 ] + C 4 [Γ9, Γ ] Non-trivial embedding of SU(2) R symmtry [ ] θ = exp 2π 1 n 4 ([Γ5, Γ 6 ] + c R ii 3R )

35 20/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Classification of Models E 6 H SU(3) SU(2) 2 U(1) 2 Breaking through Z 2, Z 3, Z 4. Z 2 Subgroup H Shift 2V SO() U(1) χ (1, 1, 0, 1, 1, 0) SU(6) SU(2) R (0, 0, 1, 0, 0, 0) SU(6) SU(2) L (1, 1, 1, 1, 1, 0) Z 3 Subgroup H Shift 3V SU(3) C SU(3) L SU(3) R (0, 0, 1, 1, 0, 0) Z 4 Subgroup H Shift 4V SU(3) C SU(3) L SU(2) R U(1) (0, 0, 1, 2, 0, 0) SU(3) C SU(3) R SU(2) L U(1) ( 1, 1, 1, 1, 1, 0) non-trivial (H i H j ) common invariant subgroups H i H j under two combined shifts Z 2 Z 2 Z 2 Z 3 Z 2 Z 4 Z 3 Z 4 Z 4 Z 4 SU(4) C SU(2) L SU(2) R U(1) χ SU(3) C SU(2) L SU(2) R U(1) B L U(1) χ SU(3) C SU(3) L SU(2) R U(1) SU(3) C SU(3) R SU(2) L U(1) SU(4) C SU(2) L SU(2) R U(1) χ SU(3) C SU(2) L SU(2) R U(1) B L U(1) χ SU(3) C SU(3) L SU(2) R U(1) SU(3) C SU(3) R SU(2) L U(1) SU(3) C SU(2) L SU(2) R U(1) B L U(1) χ

36 21/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, A specific Model Braam/Knochel/JRR, JHEP 06:013 Use T 2 /Z 6 (a.k.a. R 2 /632 or p6) SU(3) 3 Shift vector V (r 6 ) = ( 1 6, 6 1, 3 1, 1 2, 6 1, 0) (in Q B L direction) No discrete Wilson lines allowed Anomalies from bulk 78 chiral modes after projection E 6 G LR U(1) χ SO() U(1) χ (16 3/ /2, (3, 2, 1) + (3, 1, 2), (3, 3, 3)) cancel against 78 bulk hypermultiplet 3 gen. of 27 as brane-localized matter SU(3) 3 \SO() Qχ A = (3, 1, 3) (3, 1, 2) ( 1, 1 (3, 1, 1) ) ( 2, 1) B = (3, 3, 1) (3, 2, 1) ( 1, 1 (3, 1, 1) ) ( 2, 1) C = (1, 3, 3) (1, 2, 1) ( 1, 1 2 ) (1, 1, 2) ( 1, 1 2 ) (1, 2, 2) ( 0, 1) (1, 1, 1) ( 0,2) Trinification FP SU(3) 3 (H-even!) to discriminate LQ/DQ couplings (3rd gen.): 27 3 (3, 1, 3) 3 + (3, 3, 1) 3 + (1, 3, 3) 3 + (3, 1, 3)(3, 3, 1)(1, 3, 3) gen. on SO() FP. (allows for LQ couplings) LR symmetry breaking by brane-localized matter: i) L, l c, ν c + c.c. (1, 3, 3) 16 + c.c. ii) L, l c, ν c, H u, H d, S + c.c. (1, 3, 3) + c.c.

37 21/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Model Building Phenomenology

38 22/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Scan of Parameter Space Braam/JRR/Wiesler, ; JRR et al., 2012 # free parameters O(0), additional assumptions: - Unified Soft-Breaking terms - Flavour structure Restriction to 14 parameters Constraints: (1) Experimental search limits for new particles (2) Running couplings perturbative up to Λ E6 (3) Scalar (non-higgs) mass terms positive ( No false vacua) 14-dim. parameter space 1 Grid Scan: 28 points Investigation per point (RGE, Higgs potential minimisation, Calculation of masses) 0 ms Lsg.: Monte-Carlo Markov chain through parameter space Effective search for relevant parameter tuples Y SD tanβ Güte

39 23/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Generic Properties of Spectra mass GeV 2000 u d _2 1 b _2 2 d _ t _2 b _ t _1 e _2 Τ _2 e Τ _1 1 Χ 0 Χ Χ _6 Z' 0 _5 0 _4 3 Χ _2 Χ 0 Χ _2 0 _1 A 0 Χ _1 g H'_8 9 H'_7654 H'_123 D_2 h 0 _3 2 h 0 _1 D_1 D Vanishing 1-loop QCD β function Light Gluino Higgs- and neutralino sector different because of singlet superfield admixture light Z (peculiar asymmetries) Flavoured Higgs sector: Unhiggses, Unhiggsinos Leptoquarks/Leptoquarkinos

40 24/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Sample Spectra H int, H int i) ii) 3ii) i) + 2ii) Λ int /GeV Λ GUT /GeV g MZ Q X Q u c d c D D c L e c H u H d S U 1 Y 60 U 1 U 1 U 1 Y 50 U U U U Αi 30 SU 2 L U 1 B L 1 Αi 30 SU 2 L 20 U 1 Χ 20 U 1 Χ B L SU 3 SU Μ GeV Μ GeV

41 24/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Sample Spectra H int, H int i) ii) 3ii) i) + 2ii) Λ int /GeV Λ GUT /GeV g MZ Q X Q u c d c D D c L e c H u H d S U 1 Y 60 U 1 Y U 1 50 U 1 50 U 1 1 U U U 1 2 Αi 30 SU 2 L Αi 30 SU 2 L 20 U 1 Χ B L 20 U 1 B L Χ SU 3 SU Μ GeV Μ GeV

42 25/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Sample Spectra Scenario A Scenario B Scenario C y lq y lqc y sd y sh y nmssm M g M gluino h sm h lq h lqc h sd h sh h nmssm m sfer m dh m H m D m S m int Higgs boson: A,C m h 1 GeV B m h 7 GeV Z : A, B m Z 2480 GeV C m Z 2090 GeV (R-odd and H-odd) Dark Matter: lightest dark Higgsino, m χ ± O(.1 1GeV)

43 26/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Sample Spectra mass GeV Scenario A Z g t u b d Ν Τ e D D h 0 A 0 h Χ 0 Χ h 0 A 0 h Χ 0 Χ

44 26/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Sample Spectra mass GeV 4000 Scenario B Z g t u b d Ν Τ e D D h 0 A 0 h Χ 0 Χ h 0 A 0 h Χ 0 Χ

45 26/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Sample Spectra mass GeV Scenario C Z g t u b d Ν Τ e D D h 0 A 0 h Χ 0 Χ h 0 A 0 h Χ 0 Χ

46 27/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, LHC: Search & Model Discrimination Decay products of heavy particles high-pt jets, many hard leptons Production of coloured particles weakly interacting particles only in decays Dark Matter discrete parity (R, T, KK) evt/ GeV L = 0 fb pt (b/ b) [GeV] new particles only in pairs high energies, long decay chains Dark Matter large missing energy in the detector ( /ET ) Different models/decay chains identical signatures Mass of new particles: endpoints of decay spectra 0.04 Events/1 GeV/0 fb m(ll) (GeV) dp / d(cos θ * ) / SUSY UED PS cos θ * Spin of new particles: Angular correlations, asymmetries,... Model discrimination: Measuring coupling constants

47 27/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, LHC: Search & Model Discrimination Decay products of heavy particles high-pt jets, many hard leptons Production of coloured particles weakly interacting particles only in decays Dark Matter discrete parity (R, T, KK) new particles only in pairs high energies, long decay chains Dark Matter large missing energy in the detector ( /ET ) Different models/decay chains identical signatures Mass of new particles: endpoints of decay spectra q q q L q R q q l l lr l R l l 0.04 Events/1 GeV/0 fb m(ll) (GeV) dp / d(cos θ * ) / SUSY UED PS cos θ * Spin of new particles: Angular correlations, asymmetries,... Model discrimination: Measuring coupling constants

48 27/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, LHC: Search & Model Discrimination Decay products of heavy particles high-pt jets, many hard leptons Production of coloured particles weakly interacting particles only in decays Dark Matter discrete parity (R, T, KK) new particles only in pairs high energies, long decay chains Dark Matter large missing energy in the detector ( /ET ) Different models/decay chains identical signatures Mass of new particles: endpoints of decay spectra 0.04 Events/1 GeV/0 fb m(ll) (GeV) dp / d(cos θ * ) / SUSY UED PS cos θ * Spin of new particles: Angular correlations, asymmetries,... Model discrimination: Measuring coupling constants

49 28/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, WHIZARD Kilian/Ohl/JRR: DESY/Freiburg/Siegen/Würzburg, hep-ph/02195, Multi-Purpose event generator for collider and astroparticle physics Acronym: W, HIggs, Z, And Respective Decays (deprecated) Fast adaptive multi-channel Monte-Carlo integration Very efficient phase space and event generation Optimized/-al matrix elements Recent version: ( ) und Parton shower (k -ordered and analytical) Kilian/JRR/Schmidt/Wiesler, JHEP 1204 (2012) 013 Underlying Event: preliminary (for 2.1) Arbitrary processes: matrix element generator (O Mega) 2.0 Features: ME/PS matching, cascades, versatile new steering syntax, WHIZARD as shared library Interface to FeynRules Christensen/Duhr/Fuks/JRR/Speckner,.3215, EPJC (in print) Prime example: LHC pheno of HEIDI models Christensen/Fuks/JRR/Speckner,

50 28/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, WHIZARD Kilian/Ohl/JRR: DESY/Freiburg/Siegen/Würzburg, hep-ph/02195, Multi-Purpose event generator for collider and astroparticle physics Focus: LHC, ILC, CLIC, SM, QCD, BSM MODEL TYPE with CKM matrix trivial CKM QED with e, µ, τ, γ QED QCD with d, u, s, c, b, t, g QCD Standard model SM CKM SM SM with anomalous couplings SM ac CKM SM ac SM with anomalous top couplings SM top SM with K matrix SM KM MSSM MSSM CKM MSSM MSSM with Gravitinos MSSM Grav NMSSM NMSSM CKM NMSSM extended SUSY models PSSSM Littlest Higgs Littlest Littlest Higgs with ungauged U(1) Littlest Eta Littlest Higgs with T parity Littlest Tpar Simplest Little Higgs (anomaly free) Simplest Simplest Little Higgs (universal) Simplest univ UED UED 3-Site Higgsless Model Threeshl Noncommutative SM (inoff.) NCSM SM with Z Zprime SM with Gravitino and Photino GravTest Augmentable SM template Template Interface to FeynRules easy to implement new models Christensen/Duhr/Fuks/JRR/Speckner,.3215, EPJC (in print) Prime example: LHC pheno of HEIDI models Christensen/Fuks/JRR/Speckner,

51 29/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Z : Drell-Yan and Asymmetry Z, typical mass: TeV, typical width: 40 GeV Drell-Yan cross section: σ(pp Z µµ; 14 TeV) = fb Cuts: η < 2.5 (acceptance), p T (µ) > 50 GeV, M µµ > 1.5 TeV Z line shape; simulation with WHIZARD for 0 fb 1 : Scenario C 70 Scenario C 0 fb dσ d MΜΜ fb GeV events 40 GeV MΜΜ GeV MΜΜ GeV Forward-backward Asymmetry: A F B σ F σ B σ F +σ B where σ F 1 0 dσ(q q µ + µ ) d cos θ d cos θ σ B 0 1 dσ(q q µ + µ ) d cos θ d cos θ

52 29/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Z : Drell-Yan and Asymmetry Z, typical mass: TeV, typical width: 40 GeV Drell-Yan cross section: σ(pp Z µµ; 14 TeV) = fb Cuts: η < 2.5 (acceptance), p T (µ) > 50 GeV, M µµ > 1.5 TeV Z line shape; simulation with WHIZARD for 0 fb 1 : Scenario A: p p ΜΜ Whizard Scenario C: p p ΜΜ Whizard A FB 0.0 A FB MΜΜ GeV MΜΜ GeV Forward-backward Asymmetry: A F B σ F σ B σ F +σ B where σ F 1 0 dσ(q q µ + µ ) d cos θ d cos θ σ B 0 1 dσ(q q µ + µ ) d cos θ d cos θ

53 30/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, u + g e Predictions from E 6 GUTs for LHC Braam/JRR/Wiesler, Simulations for the E 6 model with WHIZARD Implementation of Leptoquark/Leptoquarkino + Higgs/weak ino sector (now FeynRules impl.) Analyses: BRs, cross sections for scalar leptoquarks, S/B Leptoquarkino phenomenology X L Branching Ratio D Decays of D L - e D Yukawa Coupling Y 1 D L D L D L D L D L + u 0 χ + D ~ 1 ~ u L + ~ d L ~ u L + + ~ e L ν ~ e R CrossSection σ [fb] PairProduction q + q D L g + g D L p + p D L * + D L * + D L * + D L Cross section σ [fb] Leptoquark Single Production u + g e - d + g ν + D L + D R + D R Leptoquarkmass M [GeV] LQ Leptoquark mass M [GeV] LQ Cuts Background m D = 0.6 TeV m D = 0.8 TeV m D = 1.0 TeV p T M ll N BG N 1 S 1/ B N 2 S 2/ B N 3 S 3/ B

54 30/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, u + g e Predictions from E 6 GUTs for LHC Braam/JRR/Wiesler, Simulations for the E 6 model with WHIZARD Implementation of Leptoquark/Leptoquarkino + Higgs/weak ino sector (now FeynRules impl.) Analyses: BRs, cross sections for scalar leptoquarks, S/B Leptoquarkino phenomenology X R Branching Ratio D Decays of D R ν D Yukawa Coupling Y 1 D R D R D R D R D R - e + d + u 0 χ + D ~ 1 ~ u R + ~ u R + ~ e L ~ e R CrossSection σ [fb] PairProduction q + q D L g + g D L p + p D L * + D L * + D L * + D L Cross section σ [fb] Leptoquark Single Production u + g e - d + g ν + D L + D R + D R Leptoquarkmass M [GeV] LQ Leptoquark mass M [GeV] LQ Cuts Background m D = 0.6 TeV m D = 0.8 TeV m D = 1.0 TeV p T M ll N BG N 1 S 1/ B N 2 S 2/ B N 3 S 3/ B

55 31/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Braam/JRR/Wiesler, ; Braam/Horst/Knochel/JRR/Wiesler, 20/11 Invariant mass of lepton and jet # Events/bin 5 4 Signal + Background for: h3 Entries 0 D Mean µ + uµ - µ + L/R RMS D τ + L/R uτ - τ + Invariant mass of lepton and jet # Events/bin 3 Signal + Background for: h3 D µ Entries + uµ - µ + L/R 0 Mean RMS D τ + uτ - τ L/R M [GeV] lj M [GeV] lj p distribution of the lepton T # Events/bin 5 h3 SM Background after cuts (1) Entries 0 Mean Signal: µ D µ µ j 4 RMS L/R 3 2 Processes: SM Background: µ + µ - Signal after cuts(1) j # Events/bin p distribution of the lepton T D-l-q coupl. λ= < cuts: η <3.5 p >50 T R(ll) < 6 Process pp De + ue - e + m D = 600 hbg m Entries 0 D = 800 Mean m RMS D = m D = 1200 m D = 1500 SM Bg: Zj/γj p [GeV] T p [GeV] T Backgrounds: tt + nj, W/Z + nj Cuts: /p T > 150 GeV, 1.0 < cos θ lj < 0.7

56 32/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Mass Edges for Leptoquarkinos JRR/Wiesler,.4215 Properties of Leptoquarkinos: X Branching Ratio D ~ -1-2 Leptoquarkino Branching Fraction Decays of D ~ D ~ ~ e L + u D ~ ~ e R + u - D ~ ~ u L + e - D ~ ~ u R + e ~ D ~ d L + νe D ~ ν L + d cross section σ [fb] Leptoquarkino production channels pp D ~ D ~ * D ~~ el * D ~~ er D ~~ e L D ~~ e R Leptoquarkino mass M D Identical exclusive final states Leptoquarkino mass M D [GeV] q l ± l q l ql χ 0 2 l R χ 0 1 D χ 0 1 l R χ 0 1 q L χ 0 2 l R χ 0 1 D l+ L χ 0 2 l R q l ± l q l + l ± l

57 32/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Mass Edges for Leptoquarkinos JRR/Wiesler,.4215 Mass edges more dominant because of missing spin correlations m ql,high = max{m ql +, m ql } m ql,low = min{m ql +, m ql } # Events / Bin Invariant Mass Distribution of (q,l) h1 Entries m ql, high SPS1a 0 Mean RMS 70.2 m ql, high LQinos # Events / Bin Invariant Mass Distribution of (q,l) m ql, low h1 SPS1a Entries 0 Mean RMS m ql, low LQinos ql m [GeV] ql m [GeV] Combinatorial backgrounds, combine softest jet and hardest lepton: m ql = m(min E{q 1, q 2 }, max E {l +, l }) # Events / Bin Invariant Mass Distribution * m ql SPS1a h1 Entries m D = 400 GeV 0 Mean m D = 600 GeV RMS m = 800 GeV 5 D m D = 00 GeV m ql [GeV]

58 33/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Discrimination from standard SUSY JRR/Wiesler, 20/11 Look at dilepton spectrum: standard SUSY same cascade, Leptoquarkinos different cascades Cut on kinematic edge in standard dilepton spectra # Events / Bin Invariant Mass Distribution of (l,l) m h1 ll Entries 0 Mean RMS m ll SPS1a LQinos # Events / Bin Invariant Mass Distribution of (q,l) SPS1a + LQinos h1 Entries 0 * Mean mql RMS * mql w/ m ll >0 GeV m [GeV] ll * m [GeV] ql S/B estimate, 0 fb 1, 2 OSSF, 2 hard jets, /E T m D # N(LQino) & N(SUSY) # N cut S / S+B More pheno to come... stay tuned...

59 34/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Proton Decay in the PSSSM Mallot/JRR, 20 Superpotential (and soft breaking) do not induce proton decay Investigate exchange of E 6 gauge bosons/gauginos Steps from top down: 1. Group-theoretical weights from Clebsch-Gordan decomposition Horst/Mallot/JRR, Calculation of proton-decay Wilson coefficients at Λ GUT 3. Short-distance (SUSY) renormalisation group factor 4. Matching to SM dimension-6 Fermi operators 5. Long-distance (SM/QCD) renormalisation group factor 6. Matching to mesonic/baryonic operators (analogue to chiral perturbation theory) 7. Calculation of baryon decay matrix element and width Yields very conservative estimate: 1/Γ tot (p X) Jahre

60 35/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Summary SUSY GUTs Grand Unified Theories with intermediate breaking Viable scenarios: E 6 SU(3/4) SU(2) L SU(2) R U(1) 2 Possible breaking mechanisms: Higgs vs. Orbifold boundary conditions Proton decay beyond experimental reach Direct hints through chiral exotics at LHC Interesting, but intricate phenomenology at LHC Embedding into heterotic string/f theory (if someone is interested) Flavour plays important role: continuous vs. discrete symmetries Open questions: flavour, dark matter, SUSY breaking mechanisms

61 35/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Outlook pedo mellon a minno. LHC: new era of physics New particles, new symmetries, new interactions, dark matter Model Building, Phenomenology, Tools Interesting times! Though this be madness, yet there is method in t.. - (Hamlet, Act II, Scene II).

62 35/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Outlook pedo mellon a minno. LHC: new era of physics New particles, new symmetries, new interactions, dark matter Model Building, Phenomenology, Tools Interesting times! Though this be madness, yet there is method in t.. - (Hamlet, Act II, Scene II).

63 35/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Outlook pedo mellon a minno. LHC: new era of physics New particles, new symmetries, new interactions, dark matter Model Building, Phenomenology, Tools Some Unification Needs Time Though this be madness, yet there is method in t.. - (Hamlet, Act II, Scene II).

64 34/34 J. R. Reuter Hints of Exceptional Grand Unification at the LHC SLAC, Outlook pedo mellon a minno. LHC: new era of physics New particles, new symmetries, new interactions, dark matter Model Building, Phenomenology, Tools Some Unification Needs Time Though this be madness, yet there is method in t.. - (Hamlet, Act II, Scene II).