Supersymmetry after Higgs discovery and its LHC phenomenology

Sho IWAMOTO

15th Jan. 2013

Dissertation Defense at the University of Tokyo

[arXiv:1108.3071]

[arXiv:1112.5653]

[arXiv:1202.2751]

arXiv:1212.3935

[arXiv:1206.0161]

The University of Tokyo, JAPAN

What Shown in the Dissertation

[2]

+ GMSB framework

V-GMSB scenario

LHC constraints

(SUSY search, extra quark search)

Contents of Dissertation

Chap.1 Introduction

Chap.2 Standard Model

Chap.3 The ATLAS Experiment

Chap.4 SUSY (MSSM)

Chap.5 V-MSSM

5.1&5.2 V-MSSM model

5.3 V-GMSB framework

5.4 An important constraint (vacuum stability)

5.5

5.6 LHC Bounds (SUSY search)

5.7 LHC Bounds (extra quark search)

Chap.6 Conclusion

[3]

Great scenario!

Review part

Model Introduction

Still valid!

Contents of Dissertation

Chap.1 Introduction

Chap.2 Standard Model

Chap.3 The ATLAS Experiment

Chap.4 SUSY (MSSM)

Chap.5 V-MSSM

5.1&5.2 V-MSSM model

5.3 V-GMSB framework

5.4 An important constraint (vacuum stability)

5.5

5.6 LHC Bounds (SUSY search)

5.7 LHC Bounds (extra quark search)

Chap.6 Conclusion

[4]

Great scenario!

Review part

Model Introduction

Still valid!

Why V-MSSM?

’

Introduction

Why V-MSSM?

[5]

2012 [6]

Higgs boson

was

Discovered!

[7]

Higgs boson

was

Discovered!

[8]

The Standard Model and The MSSM

Standard Model Now Completed!

Problems

Hierarchy Problem, muon anomaly, Dark Matter, …

Anxiety towards ultimate theory

[9]

MSSM (Minimal SUSY Standard Model)

Hierachy problem

Dark Matter Candidate

Muon anomaly

Supersymmetry (SUSY)

Muon g-2 Problem

anomaly

[10]

Hagiwara, Liao, Martin, Nomura, Teubner [1105.3149]

Can be explained with SUSY

The Standard Model and The MSSM

[11]

MSSM (Minimal SUSY Standard Model)

Hierachy problem

Dark Matter Candidate

Muon anomaly

NEW FACT!

Higgs mass = 126 GeV!

in conflict!

Higgs mass in the MSSM

[12]

tree one-loop level (top-stop)

(stop mixing parameter)

Higgs mass in the MSSM

[13]

tree one-loop level (top-stop)

(stop mixing parameter)

The Standard Model and The MSSM

[14]

MSSM (Minimal SUSY Standard Model)

Hierachy problem

Dark Matter Candidate

Muon anomaly

NEW FACT!

Higgs mass = 126 GeV!

in conflict!

The Standard Model and The MSSM

[15]

MSSM (Minimal SUSY Standard Model)

Hierachy problem

Dark Matter Candidate

Muon anomaly

NEW FACT!

Higgs mass = 126 GeV!

in conflict!

e.g. IMPOSSIBLE in CMSSM / GMSB scenario

correlated

The Standard Model and The MSSM

[16]

MSSM (Minimal SUSY Standard Model)

Hierachy problem

Dark Matter Candidate

Muon anomaly

NEW FACT!

Higgs mass = 126 GeV!

in conflict!

e.g. IMPOSSIBLE in CMSSM / GMSB scenario

correlated

How to resolve?

V-MSSM + GMSB

[17]

MSSM + GMSB (or mSUGRA)

MSSM + more complicated SUSY

or

Extended model + GMSB/mSUGRA

[18]

V-MSSM

Key Idea

[19]

[20]

Key Idea

Conflict resolved.

[21]

V-MSSM

V-MSSM =

Vector-like

Mixings necessary (to avoid stable particles)

but must be tiny (to avoid large flav. viol.)

Y’ : IR fixed to ~1.05 mh well increased.

Y’’ : reduces mh assumed small.

[22]

extra Vector-like matters

• No gauge anomaly. • Gauge couplings unification.

Martin [0910.2732]

RESULT

[23]

with GMSB framework

mSUGRA framework

in dissertation

→ See [1112.5653]

VMSSM + GMSB explains muon g-2 anomaly under 126GeV Higgs

[24]

|| 1.0

|| +

|| 1

calculation failed (technical issue)

vacuum instability

(IR fixed) Δ(g-2)>0

VMSSM + GMSB explains muon g-2 anomaly under 126GeV Higgs

[25]

|| 1.0

|| +

|| 1

calculation failed (technical issue)

vacuum instability

(IR fixed) Δ(g-2)>0

LHC LIMIT!?

LHC constraints on V-MSSM

(1) from searches for extra quarks.

(2) from searches for SUSY.

[26]

Extra particles in the V-MSSM

Mass

Production

Decay

[27]

depending on mixing btw. vec-like/SM quarks.

Extra particles in the V-MSSM

Current bounds

Under “exclusive decay” assumption

Generic analysis (3rd gen. assumption : )

Done by ATLAS

[28]

3rd gen only (favored to avoid flavor constr.)

LHC constraints on V-MSSM

(1) from searches for extra quarks.

(2) from searches for SUSY.

[29]

LHC signature of the V-GMSB scenario

[30]

Examined in dissertation

Briefly discussed (but left as future works)

LHC signature of the V-GMSB scenario

Our analysis

Neutralino NLSP

Stau NLSP

[31]

VMSSM + GMSB explains muon g-2 anomaly under 126GeV Higgs

[32]

|| 1.0

|| +

|| 1

(IR fixed) Δ(g-2)>0

calculation failed (technical issue)

vacuum instability calculation failed (technical issue)

vacuum instability

VMSSM + GMSB explains muon g-2 anomaly under 126GeV Higgs

[33]

|| 1.0

|| +

|| 1

(IR fixed) Δ(g-2)>0

calculation failed (technical issue)

vacuum instability

LHC bound (for long lived NLSP)

calculation failed (technical issue)

vacuum instability

Summary

[34]

The Standard Model and The MSSM

[35]

MSSM (Minimal SUSY Standard Model)

Hierachy problem

Dark Matter Candidate

Muon anomaly

NEW FACT!

Higgs mass = 126 GeV!

in conflict! MSSM + more complicated SUSY

Extended model + GMSB

Conflict Resolved!

VMSSM + GMSB explains muon g-2 anomaly under 126GeV Higgs

LHC constraints

Extra quark searches

SUSY searches

[36]

calculation failed (technical issue)

vacuum instability

LHC bound (for long lived NLSP)

calculation failed (technical issue)

vacuum instability

(depending on decay modes)

Appendix - Historical Note

[37]

If I have seen further it is by standing on the shoulders of giants.

introduced in Okada and Moroi, 1992. Mod. Phys. Lett. A07 (1992) 187

Higgs mass can be increased!

examined in Martin, 2010. Phys. Rev. D81 (2010) 035004 [0910.2732]

IR fixed point behaviour of Y’.

Decay branching ratio of extra quarks.

applied to the SUSY explanation of by us.

[38]