measurements of the model parameter in the littlest higgs model with t-parity 1 masaki asano...
DESCRIPTION
3 In LHT, SM NEW H ΦHΦH W H Z H A H q H l H q l g W Z A Particles & these partners are same spin. New particles get mass by VEV f ~ 1 TeV. (New gauge boson masses depend only on VEV f.) In this study, we estimate… measurement accuracy of new gauge boson masses determination of VEV f determination of new particle ILC. Gauge boson fermion Higgs Littlest Higgs model with T-parity (LHT) is one of attractive models for TeV new physics. LHT could solve the little hierarchy problem, and contains a dark matter candidate.TRANSCRIPT
Measurements of the model parameter in the Littlest Higgs Model with T-parity
1
Masaki Asano (ICRR, Univ. of Tokyo)
Collaborator: E. Asakawa (Meiji-gakuin Univ.), K. Fujii (KEK), T. Kusano (Tohoku
Univ.), S. Matsumoto(Univ. of Toyama), R. Sasaki (Tohoku Univ.), Y. Takubo (Tohoku Univ.)
Measurements of the model parameter in the Littlest Higgs Model with T-parity
2
Masaki Asano (ICRR, Univ. of Tokyo)
Collaborator: E. Asakawa (Meiji-gakuin Univ.), K. Fujii (KEK), T. Kusano (Tohoku
Univ.), S. Matsumoto(Univ. of Toyama), R. Sasaki (Tohoku Univ.), Y. Takubo (Tohoku Univ.)
LHT
3
In LHT,
SM
NEW
H
ΦHWH ZH AHqH lH
q lg W Z A
• Particles & these partners are same spin.• New particles get mass by VEV f ~ 1 TeV. (New gauge boson masses depend only on VEV f.)
In this study, we estimate…• measurement accuracy of new gauge boson masses• determination of VEV f• determination of new particle spins @ ILC.
Gauge boson fermion Higgs
Littlest Higgs model with T-parity (LHT) is one of attractive models for TeV new physics. LHT could solve the little hierarchy problem, and contains a dark matter candidate.
• Introduction• What is the LHT?• How to measure the LHT at ILC?• Simulation results• Summary
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Plan
What is the LHT?
5
mh2 = m0
2 + Λ2
Fine-tuning!
The SM is the successful model describing physics below ~ 100 GeV.
If we assume that
Hierarchy problem (related to quadratic divergence to the Higgs mass term)
1002 ⇔ 10000000000000002
But ...
SM is valid all the way up to the GUTs scale, Λ~1015 GeV,
EW scale higgs mass require
mh2 = m0
2 + Λ2
No fine-tuning
The SM is the successful model describing physics below ~ 100 GeV.
If we require that
Hierarchy problem (related to quadratic divergence to the Higgs mass term)
1002 ⇔ 10002
But ...
there are no fine-tuning for Higgs mass mh,
No fine-tuning Λ ~ 1 TeV
Cut off scale
mh2 = m0
2 + Λ2
No fine-tuning
The SM is the successful model describing physics below ~ 100 GeV.
However…
Hierarchy problem (related to quadratic divergence to the Higgs mass term)
1002 ⇔ 50002
But ...
LEP experiments require that the cut off scale is larger than 5 TeV!
Λ ~ 1 TeV
R.Barbieri and A.Strumia (’00)
LEP experiments
Cut off scaleLittle Hierarchy problem!
Still fine-tuning appear!
Little Higgs model with T-parity is solution of little hierarchy problem! Even if Λ ~ 10TeV, there are still no fine-tuning,
Because of … • Collective symmetry breaking (VEV f )
• T-parity
SM ⇔ SM, New ⇔ - New
The model contains dark matter candidate! (Heavy photon AH)
Wh h
g2 +WH
h h– g2
N. Arkani-Hamed, A. G. Cohen, H. Georgi (’01)
ZHSM
H. C. Cheng, I. Low (’03)
SM
SM
SMIn order to avoid constraints from EWPM, Z2 symmetry called T-parity are introduced.
• Higgs boson is regarded as Pseudo NG boson of a global symmetry at some higher scale.
• Explicit breaking of the global symmetry is specially arranged to cancel quadratic divergent corrections to mh at 1-loop level by new gauge bosons and fermions.
Little Higgs mechanism
, W±, Z, h
[Arkani-Hamed, Cohen, Katz and Nelson (2002)]
H, WH±, ZH, Φ
t Tcancel
Particle contents
Gauge-Higgs sector
Top sector
Due to the cancelation of quadratic divergences, partners are introduced.In the fermion sector, only top partner is required to cancel the quadraticdivergences because other fermion Yukawa couplings are small.
In order to Implement the Little Higgs Mechanism…
• LHT is based on the non-linear sigma model breaking SU(5)/SO(5) symmetry breaking.
• The subgroup [SU(2)×U(1)]2 in SU(5) is gauged, which is broken down to the SM gauge group by vev f.
gauge group[SU(2)×U(1)]2 VEV
[SU(2)×U(1)]SM
Uem(1) 〈 h 〉
f ~ O(1) TeV
Fermion sector
b…h
h+
+ h
t
t
TT
Cancel!
cancel
[Arkani-Hamed, Cohen, Katz and Nelson (2002)]
Particle contents
T-odd partners are introduced for each fermions.
In order to Implement the Little Higgs Mechanism…
• LHT is based on the non-linear sigma model breaking SU(5)/SO(5) symmetry breaking.
• The subgroup [SU(2)×U(1)]2 in SU(5) is gauged, which is broken down to the SM gauge group by vev f.
gauge group[SU(2)×U(1)]2 VEV
[SU(2)×U(1)]SM
Uem(1) 〈 h 〉
f ~ O(1) TeV
h
h+
+ h
t
t
TT
Cancel!
, W±, Z, h
H, WH±, ZH, Φ
t Tcancel
cancelGauge-Higgs sector
Top sector
Fermion sector
b…T-parity T-parity
tH TH bH…T-parity
In order to implement the T-parity…
How to measure the LHT at ILC?
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, W±, Z, h
H, WH±, ZH, Φ
t Tcancel
cancelGauge-Higgs sector
Top sector
Fermion sector
b…
tH TH bH…
O (f)
O (v) 500 GeV
Dark Matter
• can be measured at LHC. • too heavy to produced at ILC.
• can be produced at ILC!• cannot measure masses at LHC• with good accuracy at ILC
Top sector
Gauge sector
We should measure the gauge sector in the LHT at ILC.
Q. H. Cao, C. R. Chen (07)
S. Matsumoto, T. Moroi, K. Tobe (08)and …….
In order to verify the LHT,we should measure the Little Higgs mechanism!
e-
e+ AH
AHeH
γ, Z WH
WH
ZH
AHeH
Which mode can be measured at the ILC ?
• can produce easily• mAH + mAH < 500 GeV• No signal
• can produce @ 500 GeV: mAH + mZH < 500 GeV• cross section is small
• It is difficult to produce @ 500 GeV• cross section is large
e-
e+
e-
e+
In the gauge sector,
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O (f)
O (v) 500 GeV
Dark Matter
Our strategy1. @ 500 GeV ILC, we estimate the measurement of gauge boson masses & vev f using e+e- AHZH
2.Using e+e- WHWH , we estimate the improvement of gauge boson masses & vev f measurement @ 1 TeV ILC.
γ, Z WH
WH
ZH
AHeH
• can produce @ 500 GeV: mAH + mZH < 500 GeV• cross section is small
• It is difficult to produce @ 500 GeV• cross section is large
e-
e+
e-
e+
Representative point of our simulation
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Relic abundance
Shaded area is WMAP allowed region .
DM abundance is determined by the Higgs mass & vev f.
At this WMAP allowed region, the model also satisfys other experimental constraints!
e+e- AHZH
Mode &Representative point
e+e- WHWH
WMAP allowed region
Dark matter (AH)
Which particle can produced at the ILC ? → It depends on VEV f .Because heavy gauge boson masses depend only on vev f.
M. A, S. Matsumoto, N. Okada,Y. Okada PhysRevD.75.063506
↓ dark matter relic abundance in this model ↓
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Relic abundance
Mode &Representative point
WMAP allowed region
Which particle can produced at the ILC ? → It depends on VEV f .Because heavy gauge boson massed depend only on vev f.
M. A, S. Matsumoto, N. Okada,Y. Okada PhysRevD.75.063506
Shaded area is WMAP allowed region .
DM abundance is determined by the Higgs mass & vev f.
At this WMAP allowed region, the model also satisfys other experimental constraints!
e+e- AHZH e+e- WHWH
Dark matter (AH)
Fine-tuning Λ ~ 4π f > 10TeV
If f is larger than ~800GeV, the hierarchy problem appears again.
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Relic abundance
Mode &Representative point
WMAP allowed region
e+e- AHZH
e+e- WHWH
Which particle can produced at the ILC ? → It depends on VEV f .Because heavy gauge boson massed depend only on vev f.
New gauge bosons are too heavy mWH+mWH > 1TeV
mAH + mZH > 500GeV
M. A, S. Matsumoto, N. Okada,Y. Okada PhysRevD.75.063506
Fine-tuning Λ ~ 4π f > 10TeV
Shaded area is WMAP allowed region .
DM abundance is determined by the Higgs mass & vev f.
At this WMAP allowed region, the model also satisfys other experimental constraints!
Dark matter (AH)
Mode &Representative point
e+e- AHZH
e+e- WHWH
Which particle can produced at the ILC ? → It depends on VEV f .Because heavy gauge boson massed depend only on vev f.
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Relic abundance
WMAP allowed region
M. A, S. Matsumoto, N. Okada,Y. Okada PhysRevD.75.063506
Fine-tuning Λ ~ 4π f > 10TeV
Mass spectrum
f 580 eH 410 ZH 369 WH 368 AH 82 Higgs 134
Point I (GeV)
Sample points satisfy all experimental & cosmological constraints.
New gauge bosons are too heavy mWH+mWH > 1TeV
mAH + mZH > 500GeV
Simulation results
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SimulationWe simulate using Physsim & PYTHIA for generating BG, MadGraph for generating signal, JSFQuickSimulator for simulating detector.
@ 500 GeV ILC @ 1 TeV ILC
• Integrated luminosity 500 fb-1
• Cross section• Signal AHZH 1.9 fb• BG ννZ -> ννbb 44.3 fb• ννZ -> ννcc 34.8 fb• ννh -> ννbb 34.0 fb• ……
• Integrated luminosity 500 fb-1
• Cross section• Signal WH
+WH- 121 fb
• BG W+W- 1308 fb• e+e-W+W- 491 fb• ……
e+e- AHZH AHAH h e+e- WHWH AHAHWW
from edges of W± energy distribution.from edges of higgs energy distribution.
We determine heavy gauge masses
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@ 500 GeV ILCe+e- AHZH AHAH h
@ 1 TeV ILC
e+e- WHWH AHAHWW
For details, see next talk (T. Kusano).
For details, see next next talk (R. Sasaki).
Because the simulation shows end points clearly, It allow us to extract the property of heavy gauge bosons and DM!
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@ 500 GeV ILCe+e- AHZH AHAH h
@ 1 TeV ILC
e+e- WHWH AHAHWW
For details, see next talk (T. Kusano).
For details, see next next talk (R. Sasaki).
Because the simulation shows end points clearly, It allow us to extract the property of heavy gauge bosons and DM!
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Simulation results@ 500 GeV ILC @ 1 TeV ILC
• WH spin using production angle of WH+.
• W helicity using angular distribution of jets.
We can also determine
e+e- AHZH AHAH h e+e- WHWH AHAHWW
• Mass determination• Fit results mAH = 80.1 ± 7.3 GeV true(81.85) mZH = 366 ± 17 GeV true(368.1)
• f determination• f = 580 ± 22 GeV true(580)
• Mass determination• Fit results mAH = 82.42 ± 1.09 GeV true(81.85) mWH = 368.0 ± 0.9 GeV true(368.1)
• f determination• f = 580 ± 1.3 GeV true(580)
• Littest Higgs model with T-parity (LHT) is one of attractive models for physics beyond the SM.
• Important model parameter (f) can be determined by gauge boson sector with good accuracy.• @ 500 GeV ILC, we can measure LHT using e+e- → AHZH .• @ 1 TeV ILC, we can measure LHT using e+e- → WHWH
with very high accuracy. • Our simulation shows the clear edge in signal events,
which allow us to extract the model parameters precisely.• Results obtained from the collider experiments will be
compared to those from astrophysical experiments
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Summary
Cosmological impact will be talked by S. Matsumoto in today’s cosmological session.