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]