Luis & SUSY. G. Ross, Madrid, March 2013

Transcription

1 Luis & SUSY G. Ross, Madrid, March 2013

2 60!

3 60! Still a kid!

4 Oxford Golden era Luis, Paco del Aguila, Tony Mendez, Tony Grifols, Alberto Casas, Carlos Munoz, Jose Valle, Dominic Espriu, Eduardo Masso, Jose Bordes, Beatriz de Carlos, Oscar Vives, Alejandro Ibarra

5 Luis & SUSY Hierarchical Quark And Lepton Masses In Grand Unified Theories Higgs Bosons in SO(10) and ParDal UnificaDon with Paco RS meeting London, May 1981: Dimopoulos (Georgi) Supersymmetric Unification July 1981: Low- Energy PredicDons in Supersymmetric Grand Unified Theories January 1982: SU(2)- L x U(1) Symmetry Breaking as a RadiaDve Effect of Supersymmetry Breaking in Guts 2 Higgs doublets > 40 papers on..susy..

6 where is she? The hierarchy problem treat M W as a measurable (Luis may disagree!) SUSY parameters Likelihood δ v 0 m2 (γ i ) λ(γ i ) 1/2 Ghilencea, GGR Δ q = i γ i M Z M Z γ i 2 1/2 Ellis, Enquist, Nanopoulos, Zwirner Barbieri, Giudice Fine tuning measure

7 where is she? Δ q = i γ i M Z M Z γ i 2 1/2 γ i soft SUSY breaking parameters e.g.1 BLHC CMSSM γ i µ 0,m 0, m 1/2, A 0, B 0 MGUT Gauge unification required Relic density restricted 1 h 0 resonant annihilation 2 h t-channel exchange 3 τ co-annihilation 4 t co-annihilation 5 A 0 / H 0 resonant annihilation Within 3σ WMAP: Δ Min = 15, m h = ± 2GeV < 3σ WMAP: Δ Min = 18, m h = ± 2GeV Focus point m Hu = m Q 3 = m u 3 2 m Hu ( Q ) 2 2 = m Hu 2 ( M P ) m 2 2 M H u ( P ) + m ( Q3 ( M P ) + m M u 3 ( P )) Q 2 M P 2 2 3y t 4π 2 1

8 where is she? Δ q = i γ i M Z M Z γ i 2 1/2 γ i soft SUSY breaking parameters e.g.1 CMSSM γ i = µ 0,m 0, m 1/2, A 0, B 0 MGUT ALHC Direct SUSY searches: Excluded by direct DM searches (Xenon) Higgs mass: m q3 m U3 ( 900GeV ) 2 LHC Nov 2012 LHC Jan 2011 Δ Min > 300, m h > 125GeV

9 Reduced fine tuning : BMSSM - General Operator analysis ( )( ) 2, S = m 0 θθ δ L = d 2 θ 1 µ 0 + c 0 S H 1 H 2 M * Dimension 5 δv = ς ( h 1 + h 2 )h 1 h 2 + ς 2 h 1 h 2 ( ) 2 ; ς 1 = µ 0 M *, ς 2 = c 0 m 0 M * Δ Δ Cassel, Ghilencea, GGR Casas, Espinosa, Hidalgo Dine, Seiberg, Thomas Batra, Delgardo, Tait Kaplan, m h MSSM m h + dim 5 operators effect mainly comes from ς 1 h 1 2 h 1 h 2 term origin?

10 Reduced fine tuning : singlet extensions NMSSM µ S >> TeV W GNMSSM eff = ( H u H d ) 2 / µ s + µh u H d GNMSSM µ 2 2 H u + H d µ S ( )H u H d v 2 = m2 λ Only for GNMSSM

11 Reduced fine tuning : singlet extensions NMSSM µ S >> TeV W GNMSSM eff = ( H u H d ) 2 / µ s + µh u H d GNMSSM µ 2 2 H u + H d µ S ( )H u H d v 2 = m2 λ Only for GNMSSM Discrete R-symmetry: (N)MSSM spectrum No perturbative μ, μ S, ξ term Discrete anomaly cancellation Luis } (N)MSSM 1 1 M LLH H u u M QQQL N=4 commutes with SO(10) - unique N q 10 q 5 q Hu q Hd q S R-symmetry ensures singlets light SUSY breaking: G(N)MSSM Lee, Raby, Ratz, GGR, Schieren, Schmidt Hoberg, Vaudrevange W, λλ R=2 non=perturbative breaking Casas, Munoz Z R 4,8 Z 2 R R parity Domain walls and tadpoles safe Abel µ,µ S m 3/2, O( m 3/2 M 2 QQQL)

12 CMSSM CGNMSSM CNMSSM (Higgs not universal) LHC constraints applied LHC +DM constraints applied GGR, Schmidt- Hoberg, Staub c.f. Hall, Pinner, Ruderman Xenon1T Stau co-annihilation DM searches insensitive

13 Reduced fine tuning : nonuniversal gaugino masses 16π d 2 dt m 2 =3 2 y H u t 2 2 ( (m Hu + m 2 Q3 + m 2 ) + 2 a u 3 t ) 2 6g 2 2 M g 2 M New "focus point": if M 2 M 3 at M SUSY Natural ratios? e.g.: GUT: M 3 (M SUSY ) : M 2 (M SUSY ) : M 1 (M SUSY ) = η 3 :1:η 1 Hortron, GGR SU(5) : Φ N ( 24 24) symm = ; SO(10) : ( 45 45) symm = η 3 :1:η 1 2.7η 3 :1: 0.5η 1 String: ( 3 + δ GS ) :( 1 + δ GS ) : δ GS OII Brignole, Ibanez, Munoz (similar ratios in mixed moduli+anomaly)

14 GNMSSM + non-universal gaugino masses δ m h 2 5λ 2 µ eff v 2 sin2β / 2µ S LSP W, B } Compressed spectrum M g M W M LSP Schmidt Hoberg, Kaminski, GGR - preliminary

15 Summary CMSSM (and other MSSMs) highly fine tuned BCMSSM: more correlations or BMSSM -GNMSSM + gaugino focus point; SUSY states heavier Still room for low-fine-tuned SUSY! Indirect hints.g-2, h γ γ, Fermi Compressed SUSY (GeV) m LSP CMS Preliminary, 19.4 fb, s = 8 TeV 0 pp ~ g ~ g, ~ g b b χ 1 NLO-NLL exclusions Observed ± 1 σ theory Expected ± 1 σ experiment (GeV) m gluino % C.L. upper limit on cross section (pb)

16 Summary CMSSM (and other MSSMs) highly fine tuned BCMSSM: more correlations or BMSSM -GNMSSM + gaugino focus point; SUSY states heavier Still room for low-fine-tuned SUSY! Indirect hints.g-2, h γ γ, Fermi Compressed SUSY (GeV) m LSP CMS Preliminary, 19.4 fb, s = 8 TeV 0 pp ~ g ~ g, ~ g b b χ 1 NLO-NLL exclusions Observed ± 1 σ theory Expected ± 1 σ experiment (GeV) m gluino % C.L. upper limit on cross section (pb) Intriguing implications of 125 GeV pure SM Higgs

17 Luis & SUSY in still going strong! Shift symmetry? A GeV Higgs from a string derived slice of the CMSSM L. Aparicio, D.G. Cerdeno, L.I. The Intermediate Scale MSSM, the Higgs Mass and F-theory Unification L.I., F. Marchesano, D. Regalado, I. Valenzuela The Higgs Mass as a Signature of Heavy SUSY L.I., Irene Valenzuela (M = 2m = (2 / 3)A = B, µ = 3M / 2)

18 Luis & SUSY in still going strong! Shift symmetry? Hebecker et al The BSM is still to come..whatever it is Luis will be in the thick of it. Thank you Luis its been fun!

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20 Thanks to : Pablo Camara Fernando Marchesano Angel Uranga Roxanna Rodriguez Monica Encinas Andres Diaz