Introduction to SUSY and MSSM

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1 Introduction to SUSY and MSSM CORFU SUMMER INSTITUTE School and Workshop on Standard Model and Beyond Corfu, September 1-11, 2015 W. HOLLIK MAX-PLANCK-INSTITUT FÜR PHYSIK, MÜNCHEN

2 Standard Model input is now completely determined e Elek.-Neutrino 3 ev e Elektron 511 kev u Up-Quark 2 MeV d Myon-Neutrino 190 kev Myon MeV c Charm-Quark s 1.5 GeV Tau-Neutrino 18 MeV Tauon 1777 MeV t Top-Quark GeV b Leptons Quarks Down-Quark 5 MeV Strange-Quark 150 MeV Bottom-Quark 4.5 GeV Fermions (matter particles) Photon 0 W Z W-Boson Z-Boson GeV GeV H Higgs-Boson 125 GeV g Gluon 0 Bosons (force particles)

3 Why physics beyond the Standard Model? many open issues hierarchy problem v M Pl, M H M Pl large number of free parameters g 1, g 2, v, m f, V CKM no further unification of forces missing link to gravity nature of dark matter? baryon asymmetry of the universe?

4 Supersymmetry gauge coupling unification dark matter candidate (lightest SUSY particle, LSP) physical Higgs bosons: h 0, H 0, A 0, H ± lightest Higgs boson h 0 < 130 GeV

5 Outline 1. SUSY algebra and representations 2. SUSY fields and Lagrangians 3. MSSM, formulation and content 4. Tests of the MSSM

6 1. SUSY algebra and representations

15 more spinor notations and conventions definition: ψ 1 = ψ 2, ψ 2 = ψ 1 ψ 1 = ψ 2, ψ2 = ψ 1 ψ a = ψ a, ψa = ψ a compact notations for Lorentz covariants χ + ψ = χ a ψ a χψ ψ + χ = ψ a χ a ψ χ ψ + σ µ ψ = ψσ µ ψ ψ + σ µ ψ = ψ σ µ ψ

28 Appendix to Section1

29 Useful formulae for spinors Weyl-spinors with components ψ a (a = 1, 2) ψ = ( ψ1 ψ 2 ) form a 2-dimensional representation of the Lorentz Group. They transform under Lorentz transformations Λ according to Λ : ψ D(Λ) ψ with the matrix { e i 2 D(Λ) = α n σ rotation boost. σ = (σ 1, σ 2, σ 3 ) denote the Pauli matrices. e 1 2 φ n σ Weyl-spinors with components χ a (a = 1, 2) ( χ 1 χ = χ 2 ) belong to another, not equivalent, 2-dimensional representation of the Lorentz Group. Under the same Lorentz transformation Λ as above they transform according to Λ : χ D(Λ) χ with the matrix { e i 2 D(Λ) = α n σ rotation e +1 2 φ n σ boost. The representation matrices are connected via D = T D T 1, T = iσ 2 and fulfill the relation D 1 = D +. For each ψ tranforming with D, a ψ can be found transforming with D, namely ψ = i σ 2 ψ, or explicitly, ( ψ1 ψ 2 ) = ( ) ( ψ 1 ψ 2 )

30 The Pauli matrices, together with σ 0 := 1 = ( ) can be summarized in terms of a 4-component quantity, σ µ = (σ 0, σ). In addition, one defines σ µ = (σ 0, σ). Lorentz covariants: scalars: χ + ψ mit χ + = ( χ 1, χ 2 ) ψ + χ mit ψ + = (ψ 1,ψ 2). 4-vectors: X µ = χ + σ µ χ, X µ = ψ + σ µ ψ. Spinor notations: In addition to the components ψ a, ψ a one defines: ψ 1 = ψ 2 ψ 2 = ψ 1 ψ 1 = ψ 2 ψ2 = ψ 1. This yields ψ a = ψ a, ψa = ψ a and a compact notations for the Lorentz covariants: χ + ψ = χ 1 ψ 1 + χ 2 ψ 2 χ a ψ a χψ ψ + χ = ψ 1 χ 1 + ψ 2 χ 2 ψ a χ a ψ χ ψ + σ µ ψ = ψ a (σ µ ) ab ψb ψσ µ ψ ψ + σ µ ψ = ψ a ( σ µ ) ab ψ b ψ σ µ ψ The spinor products, expressed in terms of the original components, read χψ = χ 1 ψ 2 χ 2 ψ 1 ψ χ = ψ 2 χ 1 ψ 1 χ 2.

31 4-component spinors: A Dirac spinor is composed of 2 Weyl spinors according to (Weyl representation) Ψ = ( ψ χ Under a Lorentz transformation Λ, it transforms as follows, Λ : Ψ Dirac-Matrices in Weyl representation: γ µ = ( 0 σ µ σ µ 0 ) ) ( D(Λ) 0 0 D(Λ), γ 5 = iγ 0 γ 1 γ 2 γ 3 = ) Ψ ( ) Chirale projektors: P L = 1 γ 5 2 P R = 1 + γ 5 2 ( ) 1 0 = 0 0 ( ) 0 0 = 0 1 The spinors ( ψ 0 ), are eigenspinors of P L (left-chiral) and P R (right-chiral). The representations D and D are thus left- and right-chiral representations ( 0 χ A Majorana spinor is a 4-component spinor with χ = ψ: It obeys ( Ψ M = ψ ψ ) ) with Ψ M = C Ψ T M Ψ = Ψ + γ 0, C = ( iσ iσ 2 )

32 2. SUSY fields and Lagrangians

66 3. MSSM: formulation and content

67 gauge boson content SU(2) I : generators T 1 I, T2 I, T3 I, Ta I = 1 2 σ a gauge fields W 1 µ, W 2 µ, W 3 µ also: W ± µ = 1 2 ( W 1 µ iw 2 µ), W 3 µ U(1) Y : generator Y gauge field B µ SU(3) C : generators T a = 1 2 λ a (a = 1,...8) gauge fields G a µ, (a = 1, 8)

68 matter fields and quantum numbers SU(2) I : weak isospin, generators T a I = 1 2 σa for L, = 0 for R U(1) Y : weak hypercharge, generator Y T 3 I +Y/2 = Q fermion content (ignoring possibe right-handed neutrinos) leptons: Ψ L L = quarks: Ψ L Q = νl e e L νl µ µ L νl τ τ L T 3 I Y 1 1 ψ R l = e R µ R τ R 0 2 ul d L cl s L tl b L ψ R u = u R c R t R ψ R d = dr s R b R 0 2 3

69 Particle Content of the MSSM Superfield Bosons Fermions SU c (3)SU L (2) U Y (1) Gauge G a gluon g a gluino g a V k Weak W k (W ±,Z) wino, zino w k ( w ±, z) V Hypercharge B (γ) bino b( γ) Matter L i E i Q i U i D i Higgs H 1 H 2 sleptons squarks Higgses { Li = ( ν,ẽ) L { H1 Ẽ i = ẽ R Q i = (ũ, d) L Ũ i = ũ R D i = d R H 2 leptons quarks higgsinos { Li = (ν,e) L E i = e R 1 1 Q i = (u,d) L U i = u c R D i = d c R { H1 H /3 4/3 2/3 1 1

70 superfields for matter Q = Q1 Q 2, U, D (quarks) L = L1 L 2, E (leptons) Q i = Q i + 2(θq i L )+(θθ)fi L U = Ũ + 2(θu R ) + (θθ)fr u U = U + 2( θū R )+( θ θ)f R u scalar spinor auxiliary Q i = q i L : u- and d-squarks, left-handed Ũ = ũ R, u-squark, right-handed 4-component quark spinors: Ψ u = u L, Ψ c u = u R ū R ū L (analogous for d-quarks and leptons)

71 superfields for Higgs H 1 = H1 1 H 2 1 with Y = 1, H 2 = H1 2 H 2 2 with Y = +1 H k i = Hk i + 2(θψ H k i )+(θθ)f k i scalar spinor auxiliary (Higgs) (Higgsino)

72 superfields for Higgs H 1 = H1 1 H 2 1 with Y = 1, H 2 = H1 2 H 2 2 with Y = +1 H k i = Hk i + 2(θψ H k i )+(θθ)f k i scalar spinor auxiliary (Higgs) (Higgsino) electric charge: Q H1 = , Q H2 = H 1 = H0 1 H 1, H 2 = H+ 2 H 0 2

73 constructing the MSSM Lagrangian SU(3),SU(2),U(1) 1 4 Tr(W aw a ) + h.c. [ notation: V i = T α V α i, W a = T α W α a ] + matter Φ i e2(g 3V 3 +g 2 V 2 +g 1 V 1 ) Φ i + Higgs H i e2(g 2V 2 +g 1 V 1 ) H i + W superpotential W = ε ij µh i 1 Hj 2 ( + ε ij YU Q j UH i 2 + Y DQ j DH i 1 + Y E L j EH i ) 1

74 W conserves R-parity: P R = ( 1) 3(B L)+2s P R -violating interactions induce baryon- or lepton-number violating processes interactions must be suppressed interactions are absent if P R -conservation is postulated phenomenologically, P R -violating terms can be present, with couplings (small) as free parameters minimal choice (MSSM) contains only R-parity conserving terms all SM particles have even, all SUSY particles have odd P R SUSY-particles can only be produced in pairs lightest SUSY particle ( LSP ) is stable

75 soft breaking terms L soft = i m2 i ϕ i 2 ϕ i : all scalar fields + SU(3),SU(2),U(1) 1 2 M λλ α λ α +Bε ij H i 1 Hj 2 +h.c. λ α : all gaugino fields ( +ε ij AU Qj Ũ H2 i + A D Q j DH i 1 + A Lj E ẼH1 i ) Ũ, D,Ẽ : scalar quark/lepton fields Q,Ẽ : doublets of scalar quarks/leptons general: coeffcients A are 3 3-matrices in generation space

76 essentially all masses and mixings of superpartners are free parameters soft parameters can be treated as independent free parameters or: fixed by some (ad-hoc) assumptions or: derived from specific models of SUSY breaking

77 essentially all masses and mixings of superpartners are free parameters soft parameters can be treated as independent free parameters or: fixed by some ad-hoc/ well motivated assumptions or: derived from specific models of SUSY breaking parameters M λ,a f can be complex new sources of CP -violation phenomenological constraints from electric dipole moments and from flavor physics

78 Higgs fields two scalar doublets from H 1,H 2 superfields: H 1 = H 2 = H1 1 H 2 1 H1 2 H 2 2 = = H0 1 φ 1 φ+ 2 H 0 2, < H 1 > 0 =, < H 2 > 0 = v v 2 V susy H = µ 2 H 1 H 1 +µ 2 H 2 H 2 + g2 1 +g2 2 8 ( H 1 H 1 H 2 H 2) 2 + g H 1 H 2 2, V soft H = m 2 1 H 1 H 1 +m 2 1 H 2 H 2 m 2 3 ε ( ij H i 1 H j 2 +h.c.)

79 Higgs potential: V H = V susy H + V soft H = (µ 2 +m 2 1 )H 1 H 1 +(µ 2 +m 2 2 )H 2 H 2 m 2 3 ε ij ( H i 1 H j 2 +h.c.) + g2 1 +g2 2 8 ( H 1 H 1 H 2 H ) 2 g H 1 H 2 2 EW symmetry breaking: minimum of V H at H1 0 = v 1 0, H2 0 = v 2 0, Φ 1 = 0, Φ+ 2 = 0 necessary condition: m 4 3 > (µ2 +m 2 1 )(µ2 +m 2 2 ) requires m SUSY breaking required for EW symmetry breaking

80 Higgs potential: V H = V susy H + V soft H = (µ 2 +m 2 1 )H 1 H 1 +(µ 2 +m 2 2 )H 2 H 2 m 2 3 ε ij ( H i 1 H j 2 +h.c.) + g2 1 +g2 2 8 ( H 1 H 1 H 2 H ) 2 g H 1 H 2 2 EW symmetry breaking: minimum of V H at H1 0 = v 1 0, H2 0 = v 2 0, Φ 1 = 0, Φ+ 2 = 0 necessary condition: m 4 3 > (µ2 +m 2 1 )(µ2 +m 2 2 ) requires m SUSY breaking required for EW symmetry breaking SM particle masses: M 2 W,Z v2 1 +v2 2, m d,m e v 1, m u v 2 new parameter: tanβ = v 2 v 1

81 mass spectrum: 3 unphysical + 5 physical degrees of freedom 3 Goldstone bosons G 0, G ± 2 neutral CP -even Higgs bosons h 0, H 0 1 neutral CP -odd Higgs boson A 0 pseudoscalar MA 2 = m2 3 (cotβ +tanβ) conventional input parameters: M A, tanβ = v 2 v 1 other masses m h,m H,m H ± predicted, not independent mass eigenstates are linear combinations of the doublet components, with φ + 1 = (φ 1 ), φ 2 = (φ+ 2 ) H 0 1 = v (φ 1 +iχ 1 ) H 0 2 = v (φ 2 +iχ 1 )

82 ( H 0 h 0 ) = ( cosα sinα sinα cosα )( φ 1 φ 2 ) ( G 0 A 0 ) = ( cosβ sinβ sinβ cosβ )( χ 1 χ 2 ) ( G ± H ± ) = ( cosβ sinβ sinβ cosβ )( φ ± 1 φ ± 2 ) tan2α = tan2β M2 A +M2 Z M 2 A M2 Z, π 2 < α < 0

83 predictions for dependent masses (tree-level): m 2 H = M 2 ± A +M2 W ) m 2 H,h = 1 2 (MA 2 +M2 Z ± (MA 2 +M2 Z )2 4MA 2M2 Z cos2 2β m h < M Z cos(2β) < M Z (!) substantial higher-order corrections: dominant one-loop term m 2 h G Fm 4 t log(m 2 t /m2 t) from the Yukawa sector all other sectors also contribute m h = observable sensitive to (still) unknown SUSY particles

84 «Ø Higgs bosons in the MSSM: h 0, H 0, A 0, H ± m h max scen., tanβ = 5 h H A H +- light Higgs bosonh 0 M Higgs [GeV] m h m Z cos(2β) + m h 0 for heavya 0, H 0, H ± : h 0 like Standard Model Higgs boson FeynHiggs M A [GeV] m 0 h strongly influenced by quantum effects, e.g. t, t q q H H H H q q

85 gauginos and Higgsinos mass terms = bilinear terms in gaugino and Higgsino fields notation: gluino g a, winos W ±, W 3, bino B 0, Higgsinos H ±,0 1,2 L gaugino,higgsino = 1 2 M 3 g a g a χt M (0) χ+ψ T M (c) ψ + +h.c. M (c), M (0) non diagonal in the components ψ + = ( W+ H 2 + ), ψ = ( W H 1 ), χ = B 0 W 3 H 0 1 H 0 2 diagonalization mass eigenstates: charginos χ ± 1,2, neutralinos χ0 1,2,3,4

86 chargino masses: m χ ± 1,2 from M 2,µ ( M 2 2MW cosβ µ ) 2MW sinβ neutralino masses: m χ 0 1,2,3,4 from M 1,M 2,µ M 1 0 M Z s W cosβ M Z s W sinβ 0 M 2 M Z c W cosβ M Z c W sinβ M Z s W cosβ M Z c W cosβ 0 µ M Z s W sinβ M Z c W sinβ µ 0

87 sfermion masses: m f1,2 from M L,M fr,a f ( m 2 f +M 2 L +M2 Z c 2β(I 3 f Q fs 2 W ) m f(a f µκ) ) m f (A f µκ) m 2 f +M2 fr +M 2 Z c 2βQ f s 2 W with κ = {cotβ;tanβ} for f = {u,d} note: M L equal for bothũand d of a doublet M L,MũR,A u M L,M dr,a d mũ1,2, θ u m d1,2, θ d mũ1,2,m d1,2 not independent

88 Quantization and renormalization conventional gauge theories gauge group G, generators T a, structure constants f abc for quantization: L = L sym +L fix +L ghost L fix = 1 2 F2 a, F a = µ W a,µ requires ghost fields c a and anti-ghosts c a L ghost = ( µ c a )(D adj µ ) ab c b, D adj µ = µ igw r µt adj r L is symmetric under BRS transformations sw a µ = (D adj µ ) ab c b [sw a µ δw a µ etc.] sc a = ν W a ν, s c a = 1 2 gf abcc b c c

89 BRS [Becchi, Rouet, Stora] symmetry guarantees renormalizability gauge invariant and unitary S matrix important: ST identities = symmetry relations between Green functions, valid to all orders basic quantity: classical action: general: effective action Γ(L) generating functional of vertex functions δγ δϕ i δϕ j... = Γ ϕ i ϕ j... Γ cl (L) = d 4 xl tree level vertices vertex functions with loop contributions, building blocks for renormalization

90 BRS symmetry: invariance of Γ under BRS transformations, S(Γ) = [ ] d 4 x δγ δϕ i sϕ i + = 0 S: ST-operator δs(γ) δϕ j... = 0 ST identities relations between vertex functions all UV divergences in vertex functions can be removed by (multiplicative) renormalization of parameters and fields in the classical Lagrangian/action

91 SUSY gauge theories SUSY transformation modify BRS transformations, L fix +L ghost not invariant under SUSY transformations BRS transformations SUSY-BRS transformations combine BRS and SUSY transformations

92 SUSY gauge theories SUSY transformation modify BRS transformations, L fix +L ghost not invariant under SUSY transformations BRS transformations SUSY-BRS transformations combine BRS and SUSY transformations SUSY BRS symmetry ST identities ST id must be fulfilled at any order, including counterterms structure of counterterms

93 result: all UV divergences in vertex functions can be removed by (multiplicative) renormalization of parameters and fields in the classical Lagrangian/action. Parameters to be renormalized: supersymmetric and soft-breaking parameters. counterms fulfill the ST id the regularization scheme for loop calculations is symmetric otherwise: symmetry-restoring counterterms needed, determined by the ST id important for practical calculations

94 practical calculations are done in dimensional regularization D reg : p µ,a µ,γ µ,g µν in D dimensions not supersymmetric, needs symmetry-restoring counterterms dimensional reduction D red : only momenta in D dimensions, no symmetry-restoring counterterms needed (at one-loop), beyond one-loop no general proof yet

95 4. Tests of the MSSM

96 SUSY parameters mass spectrum + mixing matrices interaction terms Feynman rules for the MSSM calculate processes with SUSY particles production cross sections for colliders decay widths/ branching ratios in terms of the model parameters confront predictions with experimental results: direct searches calculate electroweak precision observables (PO) with virtual SUSY particles M W,Z observables, muong 2, andm h (!) compare predictions with experimental results for PO: indirect searches

97 indirect: precision observables with SUSY quantum loops muon decay µ e ν µ ν e X = Higgs bosons, SUSY particles G F 2 = M 2 W πα ( 1 M 2 W /MZ) 2 dark: m t, m b > 500GeV m q, m g > 1200GeV [1+ r(m t,x)] determines W mass M W = M W (α,g F,M Z,m t,x)

98 m t, m b > 1000GeV + charginos and sleptons above 500 GeV (m q, m g > 1200GeV)

99 muon g 2 new contributions from virtual SUSY partners of µ, ν µ and of W ±, Z µ χ i ν µ µ µ µ a χ0 j µ γ χ i γ µ b extra terms + α π m 2 µ M 2 SUSY v2 v 1 can provide missing contribution for M SUSY = GeV

direct: SUSY searches at the LHC! ',!,*&!/67!+8'(,9):&+!'(&!8'9(!8(;<=)&<! <;>9?'?,:@!+A='(B+!'?<!C:=9?;+!D9'!

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100 direct: SUSY searches at the LHC! ',!,*&!/67!+8'(,9):&+!'(&!8'9(!8(;<=)&<! );>>;?!+9C?',=(&L!! :8#,92"'( >=:,98:&I!*9C*!&?&(C&,9)!M&,+!'?<!,('?+D&(+&!>9++9?C!>;>&?,=>!! O&(;I!;?&I!,P;I!22!:&8,;?+!G&I! ), two photons,! EKM&,+!9N!0 (<!C&?&(',9;?!+A='(B+!'(&!:9C*,&(!,*'?!;,*&(!C&?&(',9;?!+A='(B+!!! 9?);>8:&,&!&D&?,!(&);?+,(=),9;?!<=&!,;!/#F! 78#,92"'( distributions of jets (and leptons) searches need predictions for production and decays of SUSY particles

101 LHC: LO contributions to squark pair production (QCD tree level) cross sections depend essentially only onα s and s-particle masses O(α 2 s) : g gproduction g q production q q, b i b i, t i t i production; q q production ( q t) + decay modes depend in detail on model parameters and chiralities simplifying assumptions for experimental analyses

102 Inclusive Searches 3 rd gen. g med. 3 rd gen. squarks direct production EW direct Long-lived particles RPV ATLAS SUSY Searches* - 95% CL Lower Limits Status: July 2015 Other Model e,µ,τ,γ Jets E miss T ATLAS Preliminary s = 7, 8 TeV Ldt[fb 1 ] Mass limit s = 7 TeV s = 8 TeV Reference MSUGRA/CMSSM 0-3 e, µ /1-2 τ 2-10 jets/3 b Yes 20.3 q, g 1.8 TeV m( q)=m( g) q q, q q χ jets Yes 20.3 q 850 GeV m( χ 0 1)=0 GeV, m(1 st gen. q)=m(2 nd gen. q) q q, q q χ 0 1 (compressed) mono-jet 1-3 jets Yes 20.3 q GeV m( q)-m( χ 0 1)<10 GeV q q, q q(ll/lν/νν) χ e,µ (off-z) 2 jets Yes 20.3 q 780 GeV m( χ 0 1)=0 GeV g g, g q q χ jets Yes 20.3 g 1.33 TeV m( χ 0 1)=0 GeV g g, g qq χ ± 1 qqw ± χ e,µ 2-6 jets Yes 20 g 1.26 TeV m( χ 0 1)<300 GeV, m( χ ± )=0.5(m( χ 0 1)+m( g)) g g, g qq(ll/lν/νν) χ 0 2 e,µ jets - 20 g 1.32 TeV m( χ 0 1)=0 GeV GMSB ( l NLSP) 1-2τ+0-1l 0-2 jets Yes 20.3 g 1.6 TeV tanβ> GGM (bino NLSP) 2γ - Yes 20.3 g 1.29 TeV cτ(nlsp)<0.1 mm GGM (higgsino-bino NLSP) γ 1 b Yes 20.3 g 1.3 TeV m( χ 0 1)<900 GeV, cτ(nlsp)<0.1 mm,µ< GGM (higgsino-bino NLSP) γ 2 jets Yes 20.3 g 1.25 TeV m( χ 0 1)<850 GeV, cτ(nlsp)<0.1 mm,µ> GGM (higgsino NLSP) 2 e,µ (Z) 2 jets Yes 20.3 g 850 GeV m(nlsp)>430 GeV Gravitino LSP 0 mono-jet Yes 20.3 F 1/2 scale 865 GeV m( G)> ev, m( g)=m( q)=1.5 TeV g g, g b b χ b Yes 20.1 g 1.25 TeV m( χ 0 1)<400 GeV g g, g t t χ jets Yes 20.3 g 1.1 TeV m( χ 0 1)<350 GeV g g, g t t χ e,µ 1 3 b Yes 20.1 g 1.34 TeV m( χ 0 1)<400 GeV g g, g b t χ e,µ 3 b Yes 20.1 g 1.3 TeV m( χ 0 1)<300 GeV b 1 b 1, b 1 b χ b Yes 20.1 b GeV m( χ 0 1)<90 GeV b 1 b 1, b 1 t χ ± 1 2 e,µ (SS) 0-3 b Yes 20.3 b GeV m( χ ± 1 )=2 m( χ 0 1) t 1 t 1, t 1 b χ ± e,µ 1-2 b Yes 4.7/20.3 t GeV GeV m( χ ± 1 ) = 2m( χ 0 1), m( χ 0 1)=55 GeV , t 1 t 1, t 1 Wb χ 0 1 or t χ e,µ 0-2 jets/1-2b Yes 20.3 t GeV GeV m( χ 0 1)=1 GeV t 1 t 1, t 1 c χ mono-jet/c-tag Yes 20.3 t GeV m( t1)-m( χ 0 1)<85 GeV t 1 t 1(natural GMSB) 2 e,µ (Z) 1 b Yes 20.3 t GeV m( χ 0 1)>150 GeV t 2 t 2, t 2 t 1+Z 3 e,µ (Z) 1 b Yes 20.3 t GeV m( χ 0 1)<200 GeV l L,R l L,R, l l χ e,µ 0 Yes 20.3 l GeV m( χ 0 1)=0 GeV χ + 1 χ 1, χ + 1 lν(l ν) 2 e,µ 0 Yes 20.3 χ ± GeV m( χ 0 1)=0 GeV, m( l, ν)=0.5(m( χ ± 1 )+m( χ 0 1 1)) χ + 1 χ 1, χ + 1 τν(τ ν) 2τ - Yes 20.3 χ ± GeV m( χ 0 1)=0 GeV, m( τ, ν)=0.5(m( χ ± 1 )+m( χ 0 1 1)) χ ± 1 χ0 2 l Lν l Ll( νν),l ν l Ll( νν) 3 e,µ 0 Yes 20.3 χ ± 700 GeV m( χ ± 1 )=m( χ 0 2), m( χ 0 1)=0, m( l, ν)=0.5(m( χ ± 1 )+m( χ 0 1)) , χ 0 2 χ ± 1 χ0 2 W χ 0 1Z χ e,µ 0-2 jets 1 Yes 20.3 χ ± 420 GeV m( χ ± 1 )=m( χ 0 2), m( χ 0 1)=0, sleptons decoupled , , χ 0 2 χ ± 1 χ0 2 W χ 0 1h χ 0 1, h b b/ww/ττ/γγ e,µ,γ 0-2 b Yes 20.3 χ ± 250 GeV m( χ ± 1 )=m( χ 0 2), m( χ 0 1)=0, sleptons decoupled , χ 0 2 χ 0 2 χ0 3, χ 0 2,3 l Rl 4 e,µ 0 Yes 20.3 χ GeV m( χ 0 2)=m( χ 0 3), m( χ 0 1)=0, m( l, ν)=0.5(m( χ 0 2)+m( χ 0 2,3 1)) GGM (wino NLSP) weak prod. 1 e,µ +γ - Yes 20.3 W GeV cτ<1 mm Direct χ + 1 χ 1 prod., long-lived χ ± 1 Disapp. trk 1 jet Yes 20.3 χ ± m( χ ± 1 )-m( χ 0 1) 160 MeV,τ( χ ± GeV 1)=0.2 ns Direct χ + 1 χ 1 prod., long-lived χ ± 1 de/dx trk - Yes 18.4 χ ± m( χ ± 1 )-m( χ 0 1) 160 MeV,τ( χ ± GeV 1)<15 ns Stable, stopped g R-hadron jets Yes 27.9 g 832 GeV m( χ 0 1)=100 GeV, 10µs<τ( g)<1000 s Stable g R-hadron trk g 1.27 TeV GMSB, stable τ, χ 0 1 τ(ẽ, µ)+τ(e,µ) 1-2µ χ GeV 10<tanβ< GMSB, χ 0 1 γ G, long-lived χ 0 2γ - 1 Yes 20.3 χ GeV 2<τ( χ 0 1)<3 ns, SPS8 model g g, χ 0 1 eeν/eµν/µµν displ. ee/eµ/µµ χ TeV 7<cτ( χ 0 1)< 740 mm, m( g)=1.3 TeV GGM g g, χ 0 1 Z G displ. vtx + jets χ TeV 6<cτ( χ 0 1)< 480 mm, m( g)=1.1 TeV LFV pp ν τ+ X, ν τ eµ/eτ/µτ eµ,eτ,µτ ντ 1.7 TeV λ 311 =0.11,λ132/133/233= Bilinear RPV CMSSM 2 e,µ (SS) 0-3 b Yes 20.3 q, g 1.35 TeV m( q)=m( g), cτlsp<1 mm χ + 1 χ 1, χ + 1 W χ 0 1, χ 0 1 ee ν µ,eµ ν e 4 e,µ - Yes 20.3 χ ± m( χ 0 1)>0.2 m( χ ± GeV 1 ),λ χ + 1 χ 1, χ + 1 W χ 0 1, χ 0 1 ττ ν e,eτ ν τ 3 e,µ +τ - Yes 20.3 χ ± m( χ 0 1)>0.2 m( χ ± GeV 1 ),λ g g, g qqq jets g 917 GeV BR(t)=BR(b)=BR(c)=0% g g, g q χ 0 1, χ 0 1 qqq jets g 870 GeV m( χ 0 1)=600 GeV g g, g t 1t, t 1 bs 2 e,µ (SS) 0-3 b Yes 20.3 g 850 GeV t 1 t 1, t 1 bs 0 2 jets + 2 b t GeV ATLAS-CONF t 1 t 1, t 1 bl 2 e,µ 2 b t TeV BR( t1 be/µ)>20% ATLAS-CONF Scalar charm, c c χ c Yes 20.3 c 490 GeV m( χ 0 1)<200 GeV Mass scale [TeV]

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