Is supersymmetry still alive? (A few thoughts on Natural SUSY)

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1 Is supersymmetry still alive? (A few thoughts on Natural SUSY) Werner Porod Universität Würzburg PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p.

2 Content Higgs discovery and LHC BSM results: implications Natural MSSM, a challenge Natural SUSY and extended gauge groups Conclusions PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 2

3 Expectations before LHC, msugra/cmssm 2 2D 95% CL LEO D 68% CL LEO 6 2D 95% CL LEO D 68% CL LEO 5 (GeV) M /2 8 6 tanβ (GeV) M (GeV) A B(b sγ) B(B s µµ) B(B τν) m Bs (3.55±.34) 4 < (.67±.39) ±5.2ps a exp µ a SM µ (28.7±8.2) m W (8.385±.5) GeV sin 2 θ eff.233±.2 Ω CDM h 2.23±.8 M = GeV, M /2 = GeV, tanβ = A = GeV, χ 2 /ndf =.3/8 m h = 6 GeV P. Bechtle et al., arxiv: similar results by other groups e.g. MasterCode, O. Buchmueller et al. BayesFITS, L. Roszkowski et al. PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 3

4 Higgs results in a nut-shell, status 25 Signal strength (µ) ATLAS and CMS LHC Run ATLAS H γ γ ATLAS H ZZ 4l CMS H γ γ CMS H ZZ 4l All combined Best fit 68% CL m H [GeV] m H = 25.9±.2 (stat) ±. (sys) GeV PRL 4 (25) 983 ATLAS-CONF CMS-PAS-HIG-5-2 (25 GeV) 2 m 2 Z +(86 GeV)2 large corrections within MSSM PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 4

5 BSM searches, so far hardly anything... PLANCK 26, Valencia, 24 May 26 Φ TP 2 W. Porod, Uni. Wu rzburg p. 5

6 ... but maybe something at 75 GeV!"#$%$&$'&!"#$ '() '!" #$%&" % &' ( ) * +,-.* "/ )!"#$ PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 6

7 An example for SUSY searches 3 TeV data PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 7

8 LHC data, in particular m h, high scale models m h = 25. GeV large loop contributions heavy stops and/or large left-right mixing for stops GMSB: m t > 6 TeV, M. A. Ajaib, I. Gogoladze, F. Nasir, Q. Shafi, arxiv: more complicated models based on P. Meade, N. Seiberg and D. Shih, arxiv: allow additional terms, choice not well motivated generic MSSM CMSSM, NUHM models: A 2m, H. Baer, V. Barger and A. Mustafayev, arxiv:2.37; M. Kadastik et al., arxiv:2.3647; O. Buchmueller et al., arxiv:2.3564; J. Cao, Z. Heng, D. Li, J. M. Yang, arxiv:2.439; L. Aparicio, D. G. Cerdeno, L. E. Ibanez, arxiv:22.822; J. Ellis, K. A. Olive, arxiv: ;... general high scale models: A ( 3)max(M /2,m Q3,m U3 M GUT among other cases, details in F. Brümmer, S. Kraml and S. Kulkarni, arxiv: PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 8

9 msugra/cmssm including LHC bounds & m h Fitting low energy observables, m h, BR(h X), LHC bounds 2D 95% CL 2D 95% CL 24 D 68% CL 6 D 68% CL (GeV) M / tanβ (GeV) M (GeV) A P. Bechtle et al., arxiv: implications for LHC: m g,m q > 2 TeV, 6 GeV, m lr m χ 45 GeV can be tested at LHC 3 TeV [4 TeV] so far so good, but... PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 9

10 msugra/cmssm, charge/color breaking minima SUSY models contain many scalars complicated potential usually some parameters (µ, B) are choosen to obtain correct EWSB does not exclude the existence of other minima breaking charge and/or color! A [GeV] tanβ M [GeV] A [GeV] M /2 = TeV, tanβ =, µ > M /2 = M = TeV J.E. Camargo-Molina, B. O Leary, W.P., F. Staub, arxiv: PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p.

11 General MSSM several studies, see e.g. S. Sekmen et al., arxiv:9.59; A. Arbey, M. Battaglia, A. Djouadi and F. Mahmoudi, arxiv:2.44; M. Cahill-Rowley, J. Hewett, A. Ismail and T. Rizzo, arxiv: generic signatures are well known: multi-lepton, multi-jets + missing E T sub-class of general MSSM: natural SUSY see e.g. M. Papucci, J. T. Ruderman and A. Weiler, arxiv:.6926; H. Baer, V. Barger, P. Huang, A. Mustafayev, X. Tata, arxiv: keep only SUSY particles light needed for natural Higgs : t, b, g, MeV < + m χ m χ m χ 2 m χ < 5 GeV h +,, g t t, b b t t χ,2,b χ +,W+ b b b χ,2,t χ,w t BRs depend on the nature of t and b If 75 GeV resonance is real: MSSM (like any 2-Higgs doublet model) cannot explain data PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p.

12 LHC bounds on t [GeV] m χ ~ ~ ~ ~ ~ ~ t χ W b χ c χ b f f χ t production, t ATLAS ~ t t χ ~ t t χ ~ t W b χ /b f f χ ~ t W b χ ~ t c χ ~ t b f f χ ~ m( t t, χ ) < c χ ~ m( / t,χ ) < m b t + m W / t s=8 TeV, 2 fb tl/tl combined t2l, SC WW tl, t2l tc tc, tl ~ m( t,t) < m χ / m~ t [GeV] Observed limits Expected limits All limits at 95% CL t [GeV] m χ b f f χ 5 W b χ m~ t [GeV] PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 2

13 LHC bounds on t [GeV] m χ ~ ~ ~ ~ ~ ~ t χ W b χ c χ b f f χ t production, t ATLAS ~ t t χ ~ t t χ ~ t W b χ /b f f χ ~ t W b χ ~ t c χ ~ t b f f χ ~ m( t t, χ ) < c χ ~ m( / t,χ ) < m b t + m W / t s=8 TeV, 2 fb tl/tl combined t2l, SC WW tl, t2l tc tc, tl ~ m( t,t) < m χ / m~ t [GeV] Observed limits Expected limits All limits at 95% CL t [GeV] m χ b f f χ 5 W b χ m~ t [GeV] d dt m 2 H u m 2 t R m 2 Q3 L = 8α s 3π M2 3 + Y t 2 8π 2 ( ) m 2 Q3 +m 2 t +m 2 L R H u +A 2 t 3 2 PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 2

14 Higgsino LSP: Challenge for LHC Most challenging case: only higgsinos accessible but nothing else and M to small for any leptonic signature The only way to probe compressed higgsinos is a mono-jet signature: Where the Sidewalk Ends?... Alves, Izaguirre,Wacker 2 which has been used in studies on compressed SUSY spectra, e.g. Dreiner,Kramer,Tattersall 22; Han,Kobakhidze,Liu,Saavedra,Wu 23; Han,Kribs,Martin,Menon 24 PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 3

15 DM relic density and direct detection relic density too low because higgsinos couple strongly to W and Z DD cross section rescaled with relic density chance for LHC? D. Barducci, A. Belyaev, A. Bharucha, WP, V. Sanz, arxiv: PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 4

16 3 TeV: signal versus background exclusion reach discovery reach D. Barducci, A. Belyaev, A. Bharucha, WP, V. Sanz, arxiv: PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 5

17 Extended gauge groups, motivation additional D-term contributions to m h at tree-level Origin of R-parity R P = ( ) 2s+3(B L) SO() SU(3) C SU(2) L SU(2) R U() B L SU(3) C SU(2) L U() R U() B L = SU(3) C SU(2) L U() Y U() χ or E(8) E(8) SU(3) C SU(2) L U() Y U() B L Neutrino masses B L anomaly free ν R usual seesaw, inverse seesaw PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 6

18 Higgs sector extra U() χ with new D-term contributions at tree-level: m 2 h,tree m2 Z + 4 g2 χ v2 H.E. Haber, M. Sher, PRD 35 (987) 226; M. Drees, PRD 35 (987) 29; M. Cvetic et al., hep-ph/97337; E. Ma, arxiv:8.429; M. Hirsch et al., arxiv:.337. mhi,tree [GeV] 5 5 M Z h 2 h R 2 Li,tree h 2 h tanβ R tanβ R n =, Λ = 5 5 GeV, M = GeV, tanβ = 3, sign(µ R ) =, diag(y S ) = (.7,.6,.6), Y ii ν =., v R = 7 TeV M.E. Krauss, W.P., F. Staub, arxiv: PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 7

19 Sfermions M 2 l = M2 L +D L +m 2 l (v 2 d T l µy l v u ) 2 (v d T l µy l v u ) M 2 Ẽ +D R +m 2 l, D L ( 2 +sin2 θ W )m 2 Z c 2β 5 4 m2 Z c 2βR and D R sin 2 θ W m 2 Z c 2β m2 Z c 2βR neglecting gauge kinetic effects; similarly for squarks m i el er Ν Τ er Χ el m i d L t2 b 2 d R b t m Z m Z m = GeV, m /2 = 7 GeV, A =, tanβ =, µ > tanβ R =.94, m AR = 2 TeV, µ R = 8 GeV PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 8

20 Parameters considered m t in GeV: 3, 4, 5, 6, 7, 8, 9, m b in GeV: 3, 4, 5, 6, 7, 8, 9, m νr in GeV : 6,, 2, 3, 4, 5 µ in GeV:, 9, 29, 39, 49, 59 and require m νr < µ tanβ:, 5 θ t :,45,9 θ b:,45,9 M = M 2 = TeV everything else, including t 2, b 2 and m g : 2 TeV The exception is potentially m b2 in case of θ t = m 2 W cos2β = m2 t m 2 b cos 2 θ b m 2 b2 sin 2 θ b m 2 t +m 2 b m b2 m b if necessary PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 9

21 Constraints on µ: pp χ + χ l+ l ν R ν R m ν [GeV] m χ ± [GeV] excluded, ambigous, allowed usingcheckmate L. Mitzka, WP arxiv:63.63 PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 2

22 Summary results ambigous as allowed ambigous as forbidden m b [GeV] m t [GeV] m b [GeV] m t [GeV] m b [GeV] m t [GeV] m b [GeV] m t [GeV] excluded for all parameters, exclusion depends on parameters, allowed for all parameters L. Mitzka, WP arxiv:63.63 PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 2

23 Conclusions Is SUSY still alive? Yes, it is (at least as much as any other BSM model) LHC: m h 25 GeV, no conclusive BSM physics found Natural SUSY : take only those states light which contribute to EWSB: h,±, t, g, b i extreme case with higgsinos only: very challenging: DM direkt detection and LHC probe complementary parameter space regions LHC: can discover higgsinos up to µ 2 GeV (2 GeV) for L=3 ab light stop still consistent with data extended gauge groups: ν R LSP: compatible with DM, no direct DM constraint apply m H± < 29 GeV excluded if m H± m νr > 5 GeV independent of other parameters: m t < 3 GeV excluded for 3 GeV < m t < 8 GeV: exclusion depends on parameters, in particular on cosθ t PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 22

24 Higgsino LSP: mass matrices M χ = M M Z s ω c β M Z s ω s β M 2 M Z c ω c β M Z c ω s β M Z s ω c β M Z c ω c β µ M Z s ω s β M Z c ω s β µ M χ± = M 2 2MW s β 2MW c β µ PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 23

25 Higgsino LSP: spectrum limit µ M, M 2 : m = m χ 2 m χ m 2 Z m ± = m χ ± m χ m 2 ( s 2 ) ω + c2 ω M M 2 + µ α(m Z) π ( 2+ln m2 Z µ 2 ) M[GeV] M = Red: m 2 -m Blue: m +-m M =+6 GeV M[GeV] M =- Red: m 2 -m Blue: m +-m M =--6 GeV m [GeV] m [GeV] PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 24

26 3 TeV: signal versus background differences in rates: depressing but differences in shape is encouraging D. Barducci, A. Belyaev, A. Bharucha, WP, V. Sanz, arxiv: PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 25

27 S/B versus signal significance α signal significance a la CMS: α = 2( S +B B) S/B m =5 GeV M=3 GeV LHC3 fb S/B m =23 GeV M=3 GeV LHC3 fb E T miss [GeV] E T miss [GeV] Z(ν ν)j W(lν)j µ = GeV µ = 2 GeV Initial # of events p j T > 2 GeV ηj < Jet veto (n 3) φ(j,j 2 ) < Veto e ±,µ ±,τ ± ET miss > 2 GeV ET miss > 6 GeV ET miss > 8 GeV PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 26

28 Simplified Model W eff =µĥu Ĥd +Y t t R Ĥ u Q+Y b br Q Ĥ d + k (Y ν,k ν R,k Ĥ u L k +M k Ŝ k ν R,k ), (B Mk S k ν R,k +T νk ν R,k H u L k ) V soft = 2 M 3 g g + S m 2 S S 2 +B µ H u H d + k +T t t R H u Q+T b br Q Hd S =H u,h d, Q, t R, b R, ν R assume Y ν,k = Y ν ; tree level relation m 2 W cos2β = m2 t cos 2 θ t +m2 t 2 sin 2 θ t m2 b cos 2 θ b m 2 b2 sin 2 θ b m 2 t +m2 b simplified ν R, S mass matrix (one generation): M 2 ν R, S = M k 2 B Mk B Mk M k 2 m 2,2 = M k 2 ± B Mk expect lightest sneutrino as LSP, PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 27

29 Branching ratios. b ~ tan()=. b ~ tan()=5.8.8 BR.6 BR Cos() Cos(). ~ t tan()=. ~ t tan()=5.8.8 BR.6 BR Cos() Cos() m q = 5 GeV (q = b,t), m νr = GeV, µ = 59 GeV, M = M 2 = TeV. blue line: q qν ν R, green line q q l ν R summing over l; L. Mitzka, WP arxiv:63.63 PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 28

30 CheckMATE analyses used atlas_43_25 g and q jets, 2SS/3 leptons atlas_conf_23_36 RPV & RPC SUSY four or more leptons atlas_42_729 χ ± and χ 3 leptons and E miss T atlas_43_4853 t two leptons and 2 b jets atlas_43_5294 l, χ,± two leptons and E miss T atlas_conf_89 t two leptons via the razor variable atlas_conf_23_49 χ,±, l two leptons atlas_conf_23_4 t 2 b jets, two leptons (vie τ), ET miss atlas_47_583 t lepton, jets and ET miss atlas_conf_23_62 t, g lepton, jets and ET miss atlas_conf_23_4 t lepton, jets and ET miss atlas_conf_23_6 g three b-jets and ET miss atlas_38_263 b, t 2 b jets and ET miss atlas_conf_23_47 q, g jets and ET miss atlas_conf_23_24 t hadronic t t final states PLANCK 26, Valencia, 24 May 26 W. Porod, Uni. Würzburg p. 29