Dark Matter Implications for SUSY Sven Heinemeyer, IFCA (CSIC, Santander) Madrid, /. Introduction and motivation. The main idea 3. Some results 4. Future plans Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5..
. Introduction and motivation Supersymmetry (SUSY) : Symmetry between Bosons Fermions Q Fermion Boson Q Boson Fermion Simplified examples: Q top, t scalar top, t Q gluon, g gluino, g each SM multiplet is enlarged to its double size Unbroken SUSY: All particles in a multiplet have the same mass Reality: m e mẽ SUSY is broken...... via soft SUSY-breaking terms in the Lagrangian (added by hand) SUSY particles are made heavy: M SUSY = O( TeV) Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5..
Supersymmetry: Motivation The SM is in a pretty good shape. Why MSSM? (Is it worth to double the particle spectrum?).) Stability of the Higgs mass against higher-order corr..) Unification of gauge couplings: Not possible in the SM, but in the MSSM (although it was not designed for it.) 3.) Spontaneous symmetry breaking via Higgs mechanism is automatic in SUSY GUTs 4.) SUSY provides CDM candidate 5.)... /α i 6 5 4 3 Unification of the Coupling Constants in the SM and the minimal MSSM 5 5 log Q /α i 6 5 4 3 /α /α MSSM /α 3 5 5 [Amaldi, de Boer, Fürstenau 9] log Q Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 3
The Minimal Supersymmetric Standard Model (MSSM) Superpartners for Standard Model particles [ ] [ ] u, d, c, s, t, b e, µ, τ L,R [ũ, d, c, s, t, b ] L,R [ẽ, µ, τ ] L,R L,R [ νe,µ,τ ] L ] [ νe,µ,τ L Spin Spin g W ±, H ± }{{} γ, Z, H, H }{{} Spin / Spin g χ ±, χ,,3,4 Spin Candidates for Cold Dark Matter: ν, χ, G ν: scalar neutrino, mostly excluded as CDM candidate χ : lightest neutralino good candidate G: gravitino, superpartner of graviton possible candidate ( backup) Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 4
. The main idea Assume standard cosmology Calculate CDM density in the early universe Compare with experimental result (Ω CDM h ) exp =.99 ±.6 Find viable regions in the MSSM parameter space Note: Naturally the lightest neutralino gives you Ω CDM h = O() Problem: The unconstrained MSSM has more than free parameters Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 5
Simple models:.) CMSSM (or msugra): Scenario characterized by m, m /,, tan β, sign µ m : universal scalar mass parameter m / : universal gaugino mass parameter : universal trilinear coupling at the GUT scale tan β : ratio of Higgs vacuum expectation values sign(µ) : sign of supersymmetric Higgs parameter particle spectra from renormalization group running to weak scale Lightest SUSY particle (LSP) is the lightest neutralino Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 6
particle spectra from renormalization group running to weak scale ~ l q ~ ~ g H H W ~ B ~ one parameter turns negative Higgs mechanism for free Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 7
Typical CMSSM scenario (SPS a benchmark scenario): 8 m [GeV] 7 SPS home page: www.ippp.dur.ac.uk/ georg/sps 6 g t 5 ũ L, d R ũ R, d L b b 4 H, H ± χ χ 4 3 χ ± t 3 ll ν l τ χ χ ± h lr τ χ Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 8
Simple models:.) NUHM: (Non-universal Higgs mass model) Assumption: no unification of scalar fermion and scalar Higgs parameter at the GUT scale effectively M A or µ as free parameters at the EW scale besides the CMSSM parameters M A or µ Further extension: NUHM: Assumption: no unification of the Higgs parameters at the GUT scale effectively M A and µ as free parameters at the EW scale besides the CMSSM parameters M A and µ Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 9
Dark Matter in the CMSSM parameter space: schematic picture (. Ω χ h.3) [K. Olive et al. ] Despite its simplicity CMSSM fulfils all experimental bounds Four mechanisms for good σ v : Bulk Stau coannihilation Higgs-pole annihilation Focus-Point m m h, b sγ g- crosses: benchmark points m / Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5..
The main idea (II) [Buchmüller, Cavanaugh, De Roeck, Ellis, Flächer, S.H., Isidori, Olive, Ronga, Weiglein 9] Take the most simple MSSM version: CMSSM/NUHM just three/four GUT scale parameters + tan β combine all electroweak precision data as in the SM combine with B physics observables combine with CDM and (g ) µ include SM parameters with their errors: m t,... MasterCode (cern.ch/mastercode) scan over the full CMSSM/NUHM parameter space make predictions for the LHC, DM searches,... Other groups: [R. Ruiz de Austri et al.] [A. Casas et al.] [...] Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5..
3. Some results/predictions. SUSY masses. Direct detection cross sections 3. Dark Matter density (without measurement) many more exist, but no time... Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5..
.) Masses for best-fit points: CMSSM [9] largely accessible spectrum for LHC and ILC Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 3
.) Masses for best-fit points: CMSSM [9] largely accessible spectrum for LHC and ILC Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 4
.) Mass of the LSP [9] CMSSM NUHM χ 9 8 χ 9 8 7 7 6 6 5 5 4 4 3 3 3 4 5 6 7 m χ [GeV/c ] 3 4 5 6 7 m χ [GeV/c ] (dashed: no LEP bound on M h ) Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 5
.) Direct detection cross section [9] CMSSM NUHM χ 9 8 χ 9 8 7 7 6 6 5 5 4 4 3 3-48 -47-46 -45-44 -43-4 σsi p -4 [cm ] -4-48 -47-46 -45-44 -43-4 σsi p -4 [cm ] -4 Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 6
.) LSP mass and cross section combined [9] CMSSM NUHM [cm ] SI σ p 4 4 4 43 44 45 46 47 CDMS: 4+5 (reanalysis) +8 Ge XENON 7 (Net 36 kg d) SuperCDMS (Projected) 5kg (7 ST@Snolab) 48 3 m [GeV/c χ ].9.8.7.6.5.4.3.. CL [cm ] SI σ p 4 4 4 43 44 45 46 47 48 m χ [GeV/c ] 3.9.8.7.6.5.4.3.. CL large parts covered by future experiments Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 7
3.) Prediction of CDM density with/without measurement [9] CMSSM NUHM χ 9 8 χ 9 8 7 7 6 6 5 5 4 4 3 3-3 - - Ωh -3 - - Ωh CDM density natural, but strong constraint Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 8
4. Future plans More LSP-related LHC predictions Inclusion of early LHC data into the fits/predictions Inclusion of other DM related experiments into the fits/predictions MultiDark?! Extension of analyses to other MSSM-based models Higher-order corrections (to match anticipated experimental precisions) within the MSSM-based models Postdoc project?! Inclusion of new higher-order corrections into computer codes Postdoc project?! Calculations for models beyond the MSSM Postdoc project?! Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 9
Back-up Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5..
The models (III): VCMSSM: (Very Constrained MSSM) In addition to CMSSM: assume relation between and m : Additional constraint also fixes tan β =, 3/4, 3 3, Free parameters: m /, m and tan β fixed via CDM constraint Lightest SUSY particle (LSP) is the lightest neutralino GDM (msugra): (Gravitino DM in msugra) In addition to CMSSM: assume relation between and m : =, 3/4, 3 3, msugra: m gravitino = m gravitino can be the LSP Free parameters: m /, Lightest SUSY particle (LSP) is the gravitino Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5..
The models (III): VCMSSM: (Very Constrained MSSM) In addition to CMSSM: assume relation between and m : Additional constraint also fixes tan β =, 3/4, 3 3, Free parameters: m /, m and tan β fixed via CDM constraint Lightest SUSY particle (LSP) is the lightest neutralino GDM (msugra): (Gravitino DM in msugra) In addition to CMSSM: assume relation between and m : =, 3/4, 3 3, msugra: m gravitino = m gravitino can be the LSP Free parameters: m /, Lightest SUSY particle (LSP) is the gravitino Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5..
Results (IV): GDM (msugra) [J. Ellis, S.H., K. Olive, G. Weiglein 6] GDM (msugra): scan over full parameter space χ (today) 8 6 4 msugra GDM, µ > =. =.75 =.7 =. all values similarly good 4 6 8 m / [GeV] Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5..
GDM (msugra): scan over full parameter space 8 8 χ (today) 6 4 msugra GDM, µ > =. χ (today) 6 4 msugra GDM, µ > =. =.75 =.7 =.75 =.7 =. =. 4 6 8 m χ ~, m χ ~+ [GeV] all values similarly good 4 6 8 m~ τ [GeV] sleptons, charginos, neutralinos in reach for ILC() and LHC even chances for the Tevatron Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 3
GDM (msugra): scan over full parameter space 8 8 χ (today) 6 4 msugra GDM, µ > χ (today) 6 4 msugra GDM, µ > =. =. =.75 =.7 =.75 =.7 =. =. 4 6 8 4 6 8 m~ t [GeV] 4 6 8 4 6 8 m g ~ [GeV] all values similarly good stops and gluinos only in reach for the LHC Sven Heinemeyer, First MultiDark workshop, UAM Madrid, 5.. 4