X 1 ILC : PHYSICS FROM TERA- TO PLANCK-SCALE 1. Introduction X - - PowerPoint PPT Presentation

X

1

ILC : PHYSICS FROM TERA- TO PLANCK-SCALE

• 1. Introduction

X – Physics base and perspectives

• 2. ILC Physics Targets in Micro-Universe

X – Electroweak Symmetry Breaking X – Ultimate Unification / Supersymmetry X – Extra Space Dimensions

• 3. Cosmology Connection
• 4. Conclusions

• 1. INTRODUCTION

Basic laws of Nature ∼ 10−15 cm : Standard Model of particle physics ⊕ Gravity Central problems in micro-Universe ... AA – Mechanism of electroweak symmetry breaking X X ⇐ Higgs or alternative ? AA – Unification of forces - including gravity AAA X X ⇐ Supersymmetry ? AA – Space-time structure at short distances AAA X X ⇐ Dimensions > 4 ? ... and macro-Universe AA – Connection with cosmology AAA AAA AAA AAA ⇐ Cold Dark Matter? ⇐ Baryon Asymmetry? ⇐ ... X

2

TARGETS ⇐ LHC and ILC break-through discovery and high-resolution picture of Terascale scenario ⇒ unification of matter and interactions canonical path: Standard Model | Supersymmetry ⇒ GUT/Planck Scenario alternative: Standard Model ⇒ Extra Space Dims : stdd | TeV Planck Scenario SCENARIOS : – generally not without tension but: – representative for extended classes [MSSM ∼ SUSY] – prove comprehensive coverage of theoretical glacis [weak ... strong elwSB] LITERATURE : “Physics Chapter of RDR” : A.Djouadi, J.Lykken, K.M¨

• nig,

Y.Okada, M.Oreglia, S.Yamashita “Scenarios for ILC in 2010” : F.Richard, arXiv:0707.3723 [hep-ph] “Snowmass ILC Report / LCWS07” : Kilian, Z: hep-ph/0601217 X

3A

TARGETS ⇐ LHC and ILC break-through discovery and high-resolution picture of Terascale scenario ⇒ unification of matter and interactions canonical path: Standard Model | Supersymmetry ⇒ GUT/Planck Scenario alternative: Standard Model ⇒ Extra Space Dimens : stdd | TeV Planck Scenario BASE OF TALK : ... central physics targets of ILC : √s = 500 GeV | upgrade = 1 TeV e−/90 [e+/60] polarization e−e− | eγ/γγ | GigaZ LITERATURE : “Physics Chapter of RDR” : A.Djouadi, J.Lykken, K.M¨

• nig,

Y.Okada, M.Oreglia, S.Yamashita “Scenarios for ILC in 2010” : F.Richard, arXiv:0707.3723 [hep-ph] “Snowmass ILC Report / LCWS07” : Kilian, Z: hep-ph/0601217 X

3B

XXX

4

• 2A. ELECTROWEAK SYMMETRY BREAKING

– missing keystone of Standard Model – indicator of physics landscape beyond SM realizations: standard wk Higgs mechanism [ SM, SUSY, ... ] ⇓ strong elw symmetry breaking [ Little Higgs, strong WW, ... ] ⇑ topology extra space dim [ H ∼ 5th gauge field, BC : higgsless, ... ] a) SM HIGGS MECHANISM a) – light Higgs: suggested by precision data [EWWG: MH = 76+33

−24 GeV | < 144 GeV (95% CL)

a) – probability 15%

1 2 3 4 5 6 100 30 300

mH [GeV] ∆χ2

Excluded

Preliminary

∆αhad = ∆α(5)

0.02758±0.00035 0.02749±0.00012

• incl. low Q2 data

Theory uncertainty

mLimit = 144 GeV

XXX

4

• 2A. ELECTROWEAK SYMMETRY BREAKING

– missing keystone of Standard Model – indicator of physics landscape beyond SM realizations: standard wk Higgs mechanism [ SM, SUSY, ... ] ⇓ strong elw symmetry breaking [ Little Higgs, strong WW, ... ] ⇑ topology extra space dim a) SM HIGGS MECHANISM a) – light Higgs: suggested by precision data digression: a) – ⇒ 110+8

−10 ± 3 GeV in mSUGRAX Buchm¨ uller ea

X

Three central questions

⇐ after Higgs discovery at LHCXX

• 1. Higgs field filling vacuum ⇒ scalar field

XX ⋆

• 2. mass generation by Higgs interaction ⇒ Higgs coupling prop mass

XX ⋆

• 3. elw symmetry breaking : Higgs potential ⇒ non-zero vacuum value

X (1) Higgs = fundamental scalar : Higgs-strahlung near threshold: σ[e+e− → ZH] ∼ p s − (mH + mZ)2 ruling out : 0−, 1−, 2−, 3±, ... 1+, 2+ no TL ang correl

Miller,D.J. ea

AAA

s (GeV) cross section (fb)

J=0 J=1 J=2

5 10 15 210 220 230 240 250

AAA

Lohmann ea

AAA

5A

2 central questions (2) Higgs couplings to SM particles : Higgs coupling – mass relation: g(Hpp) = p 2 √ 2GF mp

⇐ proving mass generation by inter- action with Higgs field

Higgs-strahlung : e+e− → ZH WW fusion XX : e+e− → ννH ⇒ production cross sections ⇒ decay branching ratios ⇒ Higgs radiation off top ∼ strg BSM scale 2 .. 3 TeV ∼ univ 0+ mix [radion]

10 1 100 Mass (GeV) 0.01 0.1 1 Coupling constant to Higgs boson (κι) Coupling-Mass Relation

c τ b W Z H t

AAA

ACFA LC Study

AAA improving on LHC significantly: AAA precision and model-indep slope AAA /Z/W/τ/b/t/ = /1/1/3/2/2% AAA

5B

(3) Higgs potential elw SB ⇐ non-zero Higgs field v generated by shifted min of potential : V = λ[|φ|2 − 1

2v2]2

φ = (v + H)/ √ 2 self-interaction :

V = 1

2M 2 H H2 + 1 2 M2

H

v

H3 + 1

8 M2

H

v2 H4

trilin coupling ⇒ bending of potential ⇒ shift of minimum measurement: e+e− → ZHH e+e− → ννHH √s = 1 TeV : 12% BSM H sector ∼ 1 TeV

LHC → SLHC for MH > 140 GeV

XXX

6A

XX

(3) Higgs potential elw SB ⇐ non-zero Higgs field v generated by shifted min of potential : V = λ[|φ|2 − 1

2v2]2

φ = (v + H)/ √ 2 self-interaction :

V = 1

2 M2 H H2 + 1 2 M2

H

v

H3 + 1

8 M2

H

v2 H4

trilin coupling ⇒ bending of potential ⇒ shift of minimum measurement: e+e− → ZHH e+e− → ννHH √s = 1 TeV : 12% BSM H sector ∼ 1 TeV

LHC → SLHC for MH > 140 GeV

XXX

6B

• ✁

• ✁

• ✁

• 100

120 140 160 180 0.2 0.1 0.3 MH[GeV] SM Double Higgs-strahlung: e+ e- → ZHH σ [fb] √s = 800 GeV √s = 500 GeV

• M¨

uhlleitner ea | Gay | Yamashita (ea)

AAA

7B

b) SUSY HIGGS BOSONS Higgs sector extended to 2 doublets ⇒ 5 physical particles in MSSM : h0 light ≤ 140 GeV | generically < 200 GeV H0, A0, H± typically v to 1 TeV detection at LHC: blind wedge ILC: pairs /w mass up to EB

[Desch ea]

ATLAS

LEP 2000

ATLAS

mA (GeV) tanβ

1 2 3 4 5 6 7 8 9 10 20 30 40 50 50 100 150 200 250 300 350 400 450 500

h H A

+

• H

h H A

+

• H

h H A h H

+

• h H

+

• h only

H h

ATLAS - 300 fb

maximal mixing

• 1

LEP excluded

25 50 75 100 125 150 175 200 225 250 350 400 450 500 550 600 650 700 750 800 reconstructed mass sum [GeV] number of entries

HA→4b - Signal 4-fermion 2-fermion tt

AAA

7C

b) SUSY HIGGS BOSONS Higgs sector extended to 2 doublets ⇒ 5 physical particles in MSSM : h0 light ≤ 140 GeV H0, A0, H± typically v to 1 TeV detection at LHC: blind wedge γγ → H, A : +50% g

[M¨ uhlleitner ea, Gunion ea, X F: Niezurawski ea ] A

ATLAS

LEP 2000

ATLAS

mA (GeV) tanβ

1 2 3 4 5 6 7 8 9 10 20 30 40 50 50 100 150 200 250 300 350 400 450 500

h H A

+

• H

h H A

+

• H

h H A h H

+

• h H

+

• h only

H h

ATLAS - 300 fb

maximal mixing

• 1

LEP excluded

AAA

8A

SUSY EXTENSIONS : CP Violation : h0, H0 mix A0 ⇒ H0

1, H0 2, H0 3

– changing spectra and production

F: Carena ea

– CP : ττ polarization asymmetry in circularly pol γγ USSM, NMSSM, etc : – additional (light) singlets: h0, H0 ⊕ H′0 ⇒ H0

1, H0 2, H0 3

A0 ⊕ A′0 ⇒ A0

1, A0 2

F: Miller,D.J. ea

arg (At) = arg (Ab) [ deg ] H1, H2 masses [ GeV ]

CPX scenario

(a) tanβ = 5 M

∧ H+ = 150 GeV

MSUSY = 1 TeV arg (At) = arg (Ab) [ deg ] g2

H1ZZ

, g2

H2ZZ

, g2

H3ZZ

g2

H3ZZ

g2

H2ZZ

g2

H1ZZ

(b) 80 85 90 95 100 105 110 115 120 125 130

• 125
• 100
• 75
• 50
• 25

25 50 75 100 125 10

• 2

10

• 1

1

• 125
• 100
• 75
• 50
• 25

25 50 75 100 125

AAA

8B

SUSY EXTENSIONS : CP Violation : h0, H0 mix A0 ⇒ H0

1, H0 2, H0 3

– changing spectra and production

F: Carena ea

– CP : ττ polarization asymmetry in circularly pol γγ USSM, NMSSM, etc : – additional (light) singlets: h0, H0 ⊕ H′0 ⇒ H0

1, H0 2, H0 3

A0 ⊕ A′0 ⇒ A0

1, A0 2

F: Miller ea

AAA

9A

c) STRONG ELW SYMMETRY BREAKING new strong interaction sector: global symmetry breaking ⇒ [pseudo-] Goldstone bosons ∼ Higgs particles LITTLE HIGGS THEORIES large global symmetry group | f ∼ TeV : rich spectrum of TeV particles plus light Higgs sector pseudoscalar η : e+e− → t¯ t η | η → b¯ b X

F: Kilian, Rainwater, ReuterX

parameters : e+e− → f ¯ f and Z h almost completely covered

e−e+ → t¯ tb¯ b

#evt/2 GeV

√s = 800 GeV

• L = 1 ab−1

gttη = 0.2

mη = 50 GeV 100 150 50 100 150 10 100 1000 104 Minv(b¯ b) [GeV]

AAA

9B

c) STRONG ELW SYMMETRY BREAKING new strong interaction sector: global symmetry breaking ⇒ [pseudo-] Goldstone bosons ∼ Higgs particles LITTLE HIGGS THEORIES large global symmetry group | f ∼ TeV : rich spectrum of TeV particles plus light Higgs sector pseudoscalar η : e+e− → t¯ t η | η → b¯ b parameters : e+e− → f ¯ f and Z h almost completely covered Xmasses known from LHC : XILC determines model specific cplgs ⇒

0.6 0.62 0.64 0.66 0.68 0.7 0.64 0.68 0.72 0.76 0.8

s s’ Sample fits for 95% CL (MZH = 3.3 TeV, √s = 500 GeV, light AH )

s’= 0.65 0.6 0.62 0.64 0.66 0.68 0.7 0.64 0.68 0.72 0.76 0.8

s s’ Sample fits for 95% CL (MZH = 3.3 TeV, √s = 500 GeV, light AH )

s’=√3/5 0.6 0.62 0.64 0.66 0.68 0.7 0.64 0.68 0.72 0.76 0.8

s s’ Sample fits for 95% CL (MZH = 3.3 TeV, √s = 500 GeV, light AH )

F: Conley, Hewett, Le

AAA

9C

c) STRONG ELW SYMMETRY BREAKING new strong interaction sector: global symmetry breaking ⇒ [pseudo-] Goldstone bosons ∼ Higgs particles MINIMAL STRONG THEORY no light states : [WW] in 0+, 1−, ... ∼ 1 TeV

• bserved in WW scattering √s = 1 TeV

AAA e+e− → ¯ νν WW AAA e+e− → WWZ

Krstotosic, Beyer ea

sensitivity : across entire threshold region SI scale: Λ∗ < 4πv ≃ 3 TeV

AAA

10A

CLOSURE of SM ... – GigaZ : ultimate precision in SM elw/QCD sector : elw mix angle sin2 θW ∼ 10−5 QCD coupling αs ∼ 10−3 to 10−4 W mass MW ∼ 10−4 – SU(2) gauge symmetry : tri- and quattro-linear couplings : WWW etc anomalous magnetic dipole moment ∆[e/2MW ] ∼ 10−3 anomalous electric quadrupole moment ∆[e/M 2

W ] ∼ 10−3

Weyl gauge principle proven basis

• f fundamental forces in Nature

– top quark : t-quark mass mt to 1

2 · 10−3 and static properties

key observable for flavor physics | reflectg new interactions

⇐

X

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• 2B. SUPERSYMMETRY

Fundamental symmetry with impact across all micro-areas plus cosmology: XX– generating and stabilizing light Higgs boson XX– leading to unification of gauge couplings / paving path to gravity XX– providing candidate particle for Cold Dark Matter MASS SCALE : LEdata + CDM small/mod tan β : [mild] pref low mass spectrum

[no firm pred]

focus pt [EGRET] : ˜ χ < 200 GeV, ˜ F ∼ 1 TeV

200 400 600 800 1000

m1/2 [GeV]

2 4 6 8 10 12 14

χ

2 (today, EWPO only)

CMSSM, µ > 0, mt = 171.4 GeV tanβ = 10, A0 = 0 tanβ = 10, A0 = +m1/2 tanβ = 10, A0 = -m1/2 tanβ = 10, A0 = +2 m1/2 tanβ = 10, A0 = -2 m1/2

X

100 200 300 400 500 600 700 m [GeV] mSUGRA SPS 1a′/SPA ˜ lR ˜ lL ˜ νl ˜ τ1 ˜ τ2 ˜ ντ ˜ χ0

1

˜ χ0

2

˜ χ0

3

˜ χ0

4

˜ χ±

1

˜ χ±

2

˜ qR ˜ qL ˜ g ˜ t1 ˜ t2 ˜ b1 ˜ b2 h0 H0, A0 H±

X

F:Ellis,Heinemeyer,

X Olive,Weiglein X

Allanach,Lester,Weber

X

12

– LHC discovery sensitivity ∼ 2.5 to 3 TeV first steps in exploring spectrum – ILC high-resolution profile of supersymmetric particles : – complete spectrum, particularly in light non-colored sector particle masses – q-numbers: spin elw chirality charges | mix parameters | Majorana nature – couplings: identity of Yukawa with gauge couplings ⇒ extracting basic Lagrangian parameters at Tera-scale ⇒ reconstructing fundamental theory at GUT/Planck scale ⇐ complexity SUSY > SM : analysis to be successful needs high-precision data

X

13A

MASSES at ILC

a) Edge effects: ˜ µR → µ + ˜ χ0

1

m˜

ℓ

= √s [E+E−]

1 2 /(E+ + E−)

m˜

χ0

1

= m˜

ℓ [1 − 2(E+ + E−)/√s]

1 2 F: Martyn

precision on χ0

1 increased by ∼ 102

b) Threshold excitations: e+e− → ˜ µ+

R + ˜

µ−

R → µ+µ− + Emiss

P-wave: slow β3 rise e−e− → ˜ e−

R + ˜

e−

R → e−e− + Emiss

S-wave: fast β rise

F: Freitas ea

c) Max ˜ e : eγ → ˜ e˜ χ0 : m˜

e ∼ √s − m˜ χ

282 284 286 288 290 100 200 300 400 500 600

σ [fb] √s [GeV]

Summary [Weiglein ea]: LHC :

• voids in LE spectrum
• accuracy per-cent
• mass diff per-mille

ILC :

• filling voids
• accuracy increased by
• ne to two orders

LHC+ILC coherent :

comprehensive and high- resolution susy picture

Mass, ideal “LHC” “ILC” “LHC+ILC” ˜ χ±

1

179.7 0.55 0.55 ˜ χ±

2

382.3 – 3.0 3.0 ˜ χ0

1

97.2 4.8 0.05 0.05 ˜ χ0

2

180.7 4.7 1.2 0.08 ˜ eR 143.9 4.8 0.05 0.05 ˜ eL 207.1 5.0 0.2 0.2 ˜ νe 191.3 – 1.2 1.2 ˜ µR 143.9 4.8 0.2 0.2 ˜ τ1 134.8 5-8 0.3 0.3 ˜ τ2 210.7 – 1.1 1.1 ˜ qL 570.6 8.7 – 4.9 ˜ t1 399.5 2.0 2.0 ˜ t2 586.3 – ˜ g 604.0 8.0 – 6.5 h0 110.8 0.25 0.05 0.05 A0 399.4 1.5 1.5

X

14A

NATURE OF SUPERSYMMETRIC PARTICLES SPIN OF PARTICLES SUSY cascade decays : ˜ q → q ˜ χ0

2 → q (˜

ℓℓ) → q (ℓℓ) ˜ χ0

1

/ 30 / 12 / 100%

UED cascade decays : q1 → q Z1 → q (l1l) → q(ll) γ1 [isomorphic] distinction by spin : ILC prod angle : e+e− → ˜ µ+˜ µ− → µ+µ− + Emiss mod.indep S = 0 : sin2 θ ˜ χ± etc: fs analysis required

F: Martyn, Choi ea

AAA

14B

MIXING AND COUPLINGS Mixing ˜ g ⊕ ˜ h of charginos :

0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

Desch ea: [c2L, c2R]: r,g: L[11]; b: R[11]

SUSY id: Yukawa = gauge cplgs :

• 0.004
• 0.002

0.002 0.004

• 0.02
• 0.01

0.01 0.02 0.03

• ✁

Choi ea

MAJORANA NATURE OF NEUTRALINOS classical reaction: e−e− → ˜ e−˜ e− two fermion charges annihilated

• nly by Majorana ˜

χ0 t-exchange

AAA

15

Extracting SUSY Parameters at Terascale Gaugino, higgsino, scalar mass parameters, trilinear couplings, etc: integral LHC/LC analysis ⊕ loops: O = O[MSSM] : SPA Project

EXC LHC LC LHC+LC SPS1a M1 102.5±5.3 102.3±0.1 102.2±0.1 102.2 M2 191.8±7.3 192.5±0.7 191.8±0.2 191.8 M3 578.±15. → 588.±11. 589.4 M˜

eL

198.7±5.1 198.7±0.2 198.7±0.2 198.7 M˜

eR

138.2±5.0 138.2±0.05 138.2±0.05 138.2 M˜

qL

550.±13. → 553.3±6.5 553.7 M˜

uR

529.±20. → 532.±15. 532.1 M ˜

dR

526.±20. → 529.±15. 529.3 At

• 507.±91.
• 501.9±2.7
• 505.2±3.3
• 504.9

µ 345.2±7.3 344.3±2.3 344.4±1.0 344.3 tan β 10.2±9.1 10.3±0.3 10.06±0.2 10 SFitter [Lafaye,Plehn,Zerwas.D] consistent with : Fittino [Bechtle,Desch,Wienemann]

GUT/PLANCK-SCALE SCENARIOS

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High-precision measurement of SUSY Lagrangian parameters ⇒ Extrapolation to high scale : reconstruction of fundamental theory ∼ ΛP l exploration of microscopic SUSY breaking symmetries/universal behavior at ΛP l? impact of high-scale physics? Program in parallel to : Proton decay and related phenomena Neutrino physics – e.g. see-saw mechanism Cosmology / early times AAA picture coarse ⇒ HEP SUSY addition highly valuable AAA to reconstruct Planck scale scenario

GAUGE COUPLINGS

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Evolution: present elw/strong gauge couplings GigaZ : ∆s2

W /αs ≤ 10−5/−3

⊕ SUSY threshold corr ∼ LHC AAAX ⊕ ILC completed Grand/Unification : ∼ 2σ / gU : 2% ∆3 at 8σ level : high sc phys

102 106 1010 1014 Q [GeV] 10 20 30 40 50 60

1

• 1

2

• 1

3

• 1

LHC & LC/GigaZ

1015 1016 Q [GeV] 24 25

Present/”LHC” GigaZ/”LHC+LC” MU (2.36 ± 0.06) · 1016 GeV (2.360 ± 0.016) · 1016 GeV α−1 U 24.19 ± 0.10 24.19 ± 0.05 α−1 3 − α−1 U 0.97 ± 0.45 0.95 ± 0.12 XX1

UNIVERSALITY : MASSES AND SUSY BREAKING

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Evolution : Gaugino / scalar masses universal in mSUGRA

F: Blair, Porod, ea

Scalars in GMSB evolution distinctly different ⇒ X Micro-picture of SUSY breaking X GUT/Pl physics scenarios

XXX

19A

INTERMEDIATE SCALE : Z′ BOSON Heavy Z′ vector boson motivated by TeV scale remnants of grand unified theories and string theories, ext.Higgs and extra.dim models, etc Examples : Z′ in SO10, LH, etc : LHC : MZ′ up to ∼ 5 TeV ILC : virtual extension up to 15 TeV

Riemann.S

Z′ cplgs : discriminatg models

Godfrey ea

5 10 15 20

mZ' [TeV]

LR η ψ χ e+e−→ f f

–

L=1 ab-1, P-=0.8, P+=0.6

√s=0.5 TeV: √s=0.8 TeV: √s=1.0 TeV: case A case B LHC:

10 fb-1 100 fb-1 l R

C

• 0.5

0.5

l L

C

• 1

1

LH

LR

KK

χ

SLH

X

19B

INTERMEDIATE SCALE : SEE-SAW IN ν PHYSICS

Example : neutrino mass generated by see-saw mechanism ⇒ intermediate see-saw scale M[νR] ∼ 1010/1015 measurable ? ”qualified yes” Seesaw-scale affects evolution of ˜ τ/˜ ντ masses in third generation, but not 1st/2nd generation : ˜ τ/˜ ντ shifted wrt ˜ e/˜ νe

1013 1014 1015 1016 MΝR3GeV 1000 2000 3000 ΝΤGeV2 low energy measurements RG evolution

Deppisch, ea

X X MνR3 ∼ 1.0 × 1015 GeV | 50% level

X

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• 2C. EXTRA SPACE DIMENSIONS

basic element: gravity extends to higher dimensions [⊕ SM fields] ADD: flat geometry : ΛP l up to 7 TeV δ = dim − 4 > 2 e+e− → ΣKKG + γ X⇑ var √s

√s (GeV) σγG (fb)

4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 200 400 450 500 550 600 650 700 750 800 850 900

Wilson.G

UED: : all SM fields extended RS: warped geometry : curvature k k/M pl ∼ 0.1 excitation of KKG towers

Hewett ea add: radion, [KK SM particles MKK ≫]

X

22

• 3. COSMOLOGY CONNECTION

Focus: mechanism of baryon asymmetry ρB = 4.0 ± 0.4% particle character of CDM ρcdm = 24 ± 4% Baryon Asymmetry LEPTOGENESIS : CP violation in heavy νR sector ILC [indirect] ⇒ mass estimate νR SUPERSYMMETRY: new CP-violation source [˜ χ] 1st PT : light ˜ tR and Higgs ⇐ window left by LEP [Higgs < 120 GeV] and Tevatron [˜ tR < top] ⇐ ILC : near degeneracy ˜ tR and ˜ χ0

1 XCarena ea

Cold Dark Matter

23

Many candidate particles in a variety of theoretical approaches ⇒ CDM = mixture of different components / complex structure ? X – supersymmetry: lightest neutralino ⇐ X gravitino AAAAAA ⇐ X – extra dimensions: KK states, ... NEUTRALINO CDM: area in mSUGRA param ∼ octopus CDM predicted by ˜ χ˜ χ etc annihilation ⇐ precise SUSY sector required LCC2 focus pt : Ωh2 corr /w mass diff ˜ χ±

1 − ˜

χ0

1 = 51.7±0.3 GeV

Ωh2 = 0.109 ± 8%

LCC2 LCC3

Region

No EWSB Charged LSP

F

• c

u s P

• i

n t R e g i

• n

F u n n e l R e g i

• n

LCC1

c

• −

A n n i h i l a t i

• n

R e g i

• n

LCC4

Bulk

m 0 m 1/2

mh, b→sγ g−2

X

Cold Dark Matter

25

X :: present accuracy [WMAP] : Ωh2 = 0.104+0.007

−0.013 : ∼ 10%

X :: futuret accuracy [PLANCK] : Ωh2 = 0.104+0.007

−0.013: 1.4%

XMSSM conclusion on CDM = neutralino ˜ χ0

1 :

character channel sensitivity LHC (500) (1000) SPS1a′ bulk / co-an ˜ χ˜ χ → ττ, bb / co-an ˜ τ, ˜ b 10% 3% 2% LCC2 focus point ˜ χ˜ χ → W W, ZZ ˜ V ˜ H mix 80% 14% 8% LCC3 ˜ τ ˜ χ co-ann. ˜ τ ˜ χ → τγ M[˜ τ − ˜ χ0

1]

176% 50% 18% LCC4 A funnel ˜ χ˜ χ → A MA, ΓA 405% 85% 19% LCC Project [Baltz ea] / SPA Project [B´ elanger ea]

X Note : in bottom-up approach [ILC/LHC potential not fully exploited yet] X :: significant improvement if over-all picture under better control: X msugra analyses : 8/18/19% → 3/7/5%

[DCR]

X

26

GRAVITINO CDM: ˜ G lightest susy particle : GMSBA ∼ 10 GeV down to 1 eV

Ambrosanio, Blair

SUGRA ∼ 10 to 100 GeV

Primack ea, Buchm¨ uller ea,

X

Feng ea, Hamaguchi ea,

X

Ellis ea

lifetime NLSP: τ[˜ ℓ → ℓ + ˜ G] = const × M 2

˜ GM 2 P l/M 5 ˜ ℓ

• r other modes

potentially visible NLSP decay length even up to macroscopic lifetime of order 103 sec ⇒ suggesting special experimental efforts to catch the long-lived sleptons and to measure their decay properties supergravity : Xcollider / in conjunction with cosmological measurements sugra coupling determined from lifetime measurements

Buchm¨ uller ea

X

Martyn

• 4. SUMMARY

ILC can contribute uniquely to solutions of key questions in physics ... Electroweak Symmetry Breaking: establish Higgs mechanism sui generis for generating mass Grand/Ult Unification:X comprehensive and high-resolution picture of supersymmetry LHC⊕ILC ⇒ Telescope to Planck-scale physics particle physics ∼ gravity ⇒ root of physics Extra Space Dimensions: basic questions: ΛP l and # D new states, mixing of SM world with new world Cosmology Connection: X determine nature of CDM particles X establish elements of origin of matter-asymmetry in Universe ... and unravel the underlying laws of nature in the energy domain up to TeV. X

27

X X X