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presented by: Jose E. Garcia Jose E. Garcia (IFIC-Valencia) on behalf of ATLAS Collaboration XXXIXth Rencontres de Moriond

presented by: Jose E. Garcia (IFIC-Valencia)

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XXXIXth Rencontres de Moriond. on behalf of ATLAS Collaboration. presented by: Jose E. Garcia (IFIC-Valencia). 2. Littlest Higgs model SU(5)  SO(5) Gauge sector  [SU 2 U 1 ] 2 SM Higgs Arkani-Hamed et al., JHEP 207 (2002) 34 Phenomenology Han et al., Phys. Rev. D67 (2003) 95004 - PowerPoint PPT Presentation

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Page 1: presented by:  Jose E. Garcia (IFIC-Valencia)

presented by: Jose E. GarciaJose E. Garcia (IFIC-Valencia)

on behalf of ATLAS Collaboration

XXXIXth Rencontres de Moriond

Page 2: presented by:  Jose E. Garcia (IFIC-Valencia)

Particle SpectrumParticle Spectrum

Little Higgs searches at LHC

2

0,+,++

WH , ZHT

AH

1 TeV

Z ,Wh

t

M

scalar sector gauge sector

topsector

v’ ’ 1/2

new couplings (+ scale f)

J. E. Garcia Rencontres de Moriond – March 04

Littlest Higgs modelSU(5) SO(5)Gauge sector [SU2U1]2

SM HiggsSM Higgs

Arkani-Hamed et al., JHEP 207 (2002) 34

Phenomenology• Han et al., Phys. Rev. D67 (2003)

95004• Burdman et al., hep-ph/0212228

Page 3: presented by:  Jose E. Garcia (IFIC-Valencia)

qq annihilationqq annihilation (cot)2

Wide range in cot possible.

ZH ee++ee- - & & WH

VH V hV h (V is Z or W)

Strategies at LHC 3

q’

q1

W+

q2

q’

W+

1

2

++

++++

VBF mechanismVBF mechanism (v’)2

v’ should be small ++ WW++WW++

q

W

b T

q’TT

Wb fusionWb fusion (1)2

1/ 2 1

suppressed by b-quark PDF.T bW, bW, ttZ, Z, tthh

q

q’

VH

VH

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 4: presented by:  Jose E. Garcia (IFIC-Valencia)

heavy top T 4

q

W

b T

q’

(T

) (f

b)

T T

T

1/2 = 1

• Production mechanism = Wb fusion

T bWbW 50 %50 %

T tZtZ 25 %25 %

T thth 25 %25 %

BR

1 , 2 Yukawa couplings of T and t

11M 16M 16 2 %

1

2

( )2

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 5: presented by:  Jose E. Garcia (IFIC-Valencia)

T Wb 5

Cuts:- pT(jet) > 200 GeV- pT(lepton) > 100 GeV- ET > 100 GeV

1 b-tag required

T Wb b-jet + lepton + ET

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Backgrounds: tt, t, Wbb

L = 3·105 pb-1

1/2=1

Signal with 5 for MT < 2000 GeV

Page 6: presented by:  Jose E. Garcia (IFIC-Valencia)

clear peak but poor statistics

6 T Zt and T ht

h

bb

bb

T

t1 TeV W

bb

t

TZ

1 TeV

bb

+

-

W

Signature:3 leptons+ 1 b-jet+ ETmiss

Signature:3 b-jets + 1 lepton+ ETmiss

BKG tbZ, tZ,WZ tt, Wbb

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Not distinguishable peak

BKG

Page 7: presented by:  Jose E. Garcia (IFIC-Valencia)

T Zt signal 7

Cuts:- 3 isolated leptons (2 of them with M= MZ)

- 1 b –jet- ET > 100 GeV

MT= 1 TeV

L = 3·105 pb-1

1/2=1

T tZ 3 leptons + b-jet + ET

+ -

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Signal with 5 for MT < 1050 GeV

Page 8: presented by:  Jose E. Garcia (IFIC-Valencia)

T ht signal 8

Cuts:- pT(3-jets) > 130 GeV- pT(lepton) > 100 GeV- 110 < Mh < 130 GeV

At least 1 b-tag

M(T) (GeV)

T ht 3 b-jets + lepton + ET

MMTT= 1.0= 1.0BkgBkg

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

L = 3·105 pb-1

1/2=1

MT= 1 TeV

Page 9: presented by:  Jose E. Garcia (IFIC-Valencia)

Gauge Boson ZH 9

Once a mass is given, the only free parameter in the model is, .

(Z

H)

(fb)

(cot ) 2

cot = 1

q

q

ZH

() ~ (cot ) 2

(Zh) ~ (cot 2) 2

ZhZh

ee++ee- - + + ++- - + + ++--

12%12%

BR

cot

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 10: presented by:  Jose E. Garcia (IFIC-Valencia)

Search for ZH 10

qq ZH ee++ee--

slight improvement is reached slight improvement is reached using alsousing also ++--

M(ZH) = 2 TeV L = 3·105 pb-1

Selection cutsSelection cuts::

• 2 isolated electrons with 2 isolated electrons with ppTT > 20 GeV > 20 GeV and and ||| < 2.5| < 2.5 • minimum invariant mass minimum invariant mass equal to 800 GeVequal to 800 GeV

BackgroundBackground::

Drell-Yan (Drell-Yan (qq Z/ ee++ee- - )) M(e+e-) (GeV)

N(e

+e- )

bkg

subt

ract

ed

cot = 1.0 S 5000B 20

cot = 0.2 S 100B 8

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 11: presented by:  Jose E. Garcia (IFIC-Valencia)

Discovery region for ZH 11

L = 3·105 pb-1

SB

> 5

2 4 6

cot

• (Z(ZHH) decreases as M increases) decreases as M increases

• (Z(ZHH) ) (cot (cot ))22

BR(BR(ZH ee++ee--) drops for cot ) drops for cot 0 0

• If ZIf ZHH is found, cot is found, cot can be can be

extracted from extracted from (Z(ZHH) and ) and (Z(ZHH))

MM

= [ 3.4= [ 3.4 (cot (cot ))22 +0.071 (cot 2 +0.071 (cot 2))22] %] %

MZ (TeV)H

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 12: presented by:  Jose E. Garcia (IFIC-Valencia)

ZH Zh 12

q

q

cot cot 2

(cot cot 2) 2

(cot )(cot = 0.5)

mh = 120 GeV

BR(h bb)

= 66 %BR(h )

= 0.2 %

ZH

hh

ZZ

Rat

io0.5

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

mh = 200 GeV

BR(h W+W-) = 74

%BR(h ZZ) = 26 %

Page 13: presented by:  Jose E. Garcia (IFIC-Valencia)

ZH Zh with h bb 13

hh

ZH

ZZ

+

-

bbbb

2 TeVhh

bb

bbZH

ZZ

+

-

1 TeV

Cuts

Background: Z + jets

Cuts

|| < 2.5 (jets and leptons)

PT(Z) > 250 GeVPT(h) > 250 GeVb-tagging

|| < 2.5 (jets and leptons)

PT(Z) > 500 GeV PT(h) > 500 GeV b-tagging

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 14: presented by:  Jose E. Garcia (IFIC-Valencia)

ZH Zh signal 14

b-tag: b = 40%, Ru = 100 Inside mass window:S = 15 SB = 8 B

= 5

b-tag: b = 50%, Ru = 100 Inside mass window:S = 195 SB = 16 B

= 50

M(ZH) (GeV)

MZ = 1 TeVH

M(ZH) (GeV)

MZ = 2 TeVH

L = 3·105 pb-1

cot = 0.5L = 3·105 pb-1

cot = 0.5

Eve

nts

Eve

nts

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 15: presented by:  Jose E. Garcia (IFIC-Valencia)

WH / ZH W/Z h with h 15

hh

WH + ZHW+ZW+Z

Cuts

|()| < 2.5 PT() > 25 GeV PT(h) > 400 GeV -tagging, () = 80%

S(WH Wh) = 64 S(ZH Zh) = 33

B(h inclusive) = 8 B( inclusive) = 5

97

13

S

B= 27

1 TeVWH

ZHBkg

MZ = MW = 1 TeVHH

L = 3·105 pb-1

cot = 0.5

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

jj

jj

Page 16: presented by:  Jose E. Garcia (IFIC-Valencia)

Discovery region Discovery region forfor V VH H 16

L = 3·105 pb-

1

S/B > 5 N > 10

M(VH) (TeV)

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

h(120)

h(120) bb

ZH Zh + - bb

WH Wh bb

ZH Zh jets

WH Wh jets

ZZHH + + --

WWHH

VH to leptons

Page 17: presented by:  Jose E. Garcia (IFIC-Valencia)

q’

New Higgs ++ 17

• Production: VBF mechanism(vector boson fusion)

++ WW++WW++Decay:E

vent

s

L = 3·105 pb-1

M() = 1.5 TeVM() = 2 TeV

W+W+ ++ W+W+

q1

W+

q2

q’

W+

1

2

++

v’ = 25 GeV (v’)2

SM

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Decay of ++ to leptons is suppressed in this model

Page 18: presented by:  Jose E. Garcia (IFIC-Valencia)

++ W+W+ 18

++ W+W+ ++

Bkg: WWqq, WZWZqq, Wtt

• 2 forward jets (E > 100 GeV)• 2 leptons (charge +)• PT(lepton 1) > 150 GeV• PT(lepton 2) > 20 GeV• ET > 50 GeV

• mT > 500 GeV

Main cuts:

mT () (GeV)

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

L = 3·105 pb-1

mT = (E(1) + E(2) + |pT|)2 + (p(1) + p(2) + pT)2

Page 19: presented by:  Jose E. Garcia (IFIC-Valencia)

Outlook and SummaryOutlook and Summary 19

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

• Searches for the new particles predicted by Littlest Higgs model at LHC have been performed. Heavy Top and new Gauge boson sector are observable over a large range of parameter.

• “Toy” model used for the study severely constrained by electro-weak measurements

• Little Higgs idea is realized in several different models: SU(5)/SO(5),SU(6)/SP(6), Minimal moose SU(3)2/SU(3) and general mooses SU(3)n/SU(3)k, etc. They have similar particle content and are less constrained.

• More detailed information on the ATLAS searches can be More detailed information on the ATLAS searches can be found infound in G. Azuelos et al., hep-ph/0402037

Page 20: presented by:  Jose E. Garcia (IFIC-Valencia)

presented by: Jose E. GarciaJose E. Garcia (IFIC-Valencia)

on behalf of ATLAS Collaboration

XXXIXth Rencontres de Moriond

Page 21: presented by:  Jose E. Garcia (IFIC-Valencia)

The Littlest Higgs model 21

SU(5)

dim 24

S0(5)

dim 10

contains

[SU(2)U(1)]2

SU(2)U(1)

Standard model

U(1)

QED

24 - 10 = 14 masslessGoldstone bosons

4 GB usedto give massto ZH, WH, AH

4 GB usedto give massto Z,W, and h

10 GB 6 GB 0 , + , ++

broken at scale 1 TeV

broken at scale 244 GeV

broken at scale 1 TeV

mass through radiative

corrections

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 22: presented by:  Jose E. Garcia (IFIC-Valencia)

• Motivation :Motivation :

• Quadratic Quadratic divergences :divergences :

• Higgs fields :Higgs fields :

electroweak Planck

hierarchy and fine-tuning problems

bosons fermionsgauge

bosons new quarks

new gauge bosonsquarks

cancellationsSUSY : Little Higgs :

electroweak Planck

Goldstone bosons

pseudo-Goldstone bosons

symmetry breaking

"light" mass

massless

The Littlest Higgs model 22

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 23: presented by:  Jose E. Garcia (IFIC-Valencia)

Corrections 23

t

tt

(4m(4mtt – 2M – 2Mww – 4M – 4Mzz – m – mh h ))2 2 2 2 2mmh h ==

8 8

2

2 23 3

Minimum needed to cancel all loops

T heavy top new EW singlet

WH, ZH heavy gauge bosons new SU(2)U(1) symmetry

heavy higgs bosons many new Goldstone bosons

EW triplet (0 , + , ++)

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 24: presented by:  Jose E. Garcia (IFIC-Valencia)

Mass Range

Upper limits: to avoid fine tuning scale f < 1 TeV·

24

T M < 2 TeV·

mh = 120 GeV M < 0.2 TeV

mh = 200 GeV M < 2 TeV

WH , ZH, AH M < 6 TeV·

mh = 120 GeV M < 2.2 TeV

mh = 200 GeV M < 6 TeV

M < 10 TeV

2

200

GeVmh

2

200

GeVmh

2

200

GeVmh±

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 25: presented by:  Jose E. Garcia (IFIC-Valencia)

Top quark sector 25

Little Higgs t and will mix standard top t, heavy top T

v = electroweak scale = 244 GeV = heavy scale 1 TeV1, 2 = Yukawa couplings O(1)

2 new free parameters, , 1

2 can be eliminated using SM top mass

> 1 TeV(EW data!)

but if MT is too large fine tuning

= 1 TeV

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 26: presented by:  Jose E. Garcia (IFIC-Valencia)

Littlest Higgs: particle content and couplings 26

new particles couplings mass

New constants: scale and 1, , ’, ’- No relations between these new constants- AH couplings not fixed by the model- EW data ƒ fine tuning

2 TeV < ƒ < 4 TeV

weakness of the model

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 27: presented by:  Jose E. Garcia (IFIC-Valencia)

Expectations for ZH 27

M(ZH) mW (f/v) [cot + 1/cot ] f = scale for new physicsv = Fermi scale (244 GeV)

Avoid fine tuning M < 2.2 TeV(assuming mh = 120 GeV)

M expected in 1-2 TeV region with wide range of cot parameter.

Agree with EW data f > 2 TeV

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 28: presented by:  Jose E. Garcia (IFIC-Valencia)

b-tagging 28

< pT (b)> = 220 GeV < pT (bb)> = 800 GeV

115

0.5

MZ = 1 TeVH

MZ = 2 TeVH

~ 100

0.4

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 29: presented by:  Jose E. Garcia (IFIC-Valencia)

WH W h with h bb

hh

bb

bbWH

WW

1 TeV

Cuts

Background: W + jet , tt

|| < 2.5 (jets and leptons)

assume colinear to l for WH reconstructionPT(Z) > 250 GeVPT(h) > 250 GeVb-tagging

120 GeV

b-tag: b = 50%, Ru = 100 Inside mass window:S = 1499 SB = 471 B

= 69

l

±

±

±

± ±

MW = 1 TeVH

29

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04

Page 30: presented by:  Jose E. Garcia (IFIC-Valencia)

Deductions for AH

WWHH/Z/ZHH not background for A not background for AHH

M(AH) (GeV)

.BR(A.BR(AHH Z h) min. Z h) min.

fbregion excluded at 95 % CL if we see nothing

• deduced only from study deduced only from study ZH Z h with h • can combine other studiescan combine other studies

• theorical uncertainties (strong theorical uncertainties (strong model-dependencymodel-dependency) for A) for AHH

• can deduce can deduce limits on limits on .BR(A.BR(AHH Z h)Z h) from results for Z from results for ZHH (same decays)(same decays)

• hypothesis : favorable cases where M(Whypothesis : favorable cases where M(WHH/Z/ZHH) and M(A) and M(AHH) are distant ) are distant for each M(A for each M(AHH) ) (resolution of M(W(resolution of M(WHH/Z/ZHH) being 45 ) being 45 80 GeV) 80 GeV)

30

Little Higgs searches at LHCJ. E. Garcia Rencontres de Moriond – March 04