The fate of / 24 Little Higgs models with LHC Run 2 data Jrgen R. - - PowerPoint PPT Presentation

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Jürgen R. Reuter, DESY

The fate of Little Higgs models with LHC Run 2 data

tbp JHEP [1801.08034], JHEP 1402(14) 053 [1310.2918], US Snowmass Summer Study 1307.5010, JHEP 1302(13) 077 [1212.5930], PRD 74(06) 095003 [hep-ph/0609119], PRD 71(05)015008 [hep-ph/0411213], PRD 70(04) 015004 [hep-ph/0311095] based on work with

• D. Dercks, G. Moortgat-Pick, S.
• Y. Shim, M. Tonini, M. de

Vries

1

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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The Little Big Higgs boson

• Discovery of a light Higgs boson leaves still open questions:
• 1. Nature of Electroweak Symmetry Breaking
• 2. Higgs boson potential, all the way like the Standard Model!?
• 3. Does it fulfill the US-fermion/Europe-boson rule?
• 4. Is the 125 GeV state the only resonance in the system of EW vector bosons?
• 5. Is there something related to the Little Hierarchy problem (strong or weak)

2

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Higgs as pNGB & Collective Symmetry Breaking

Old Idea: Light Higgs as a (pseudo-) Nambu-Goldstone boson of a spontaneously broken symmetry [Georgi/Pais, ’75; Georgi/Kaplan, ’84] Analogy: chiral symmetry breaking in QCD

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Higgs as pNGB & Collective Symmetry Breaking

Old Idea: Light Higgs as a (pseudo-) Nambu-Goldstone boson of a spontaneously broken symmetry [Georgi/Pais, ’75; Georgi/Kaplan, ’84] Analogy: chiral symmetry breaking in QCD Upscale: Technicolor (ruled out by EWPO/LHC)

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Higgs as pNGB & Collective Symmetry Breaking

Old Idea: Light Higgs as a (pseudo-) Nambu-Goldstone boson of a spontaneously broken symmetry [Georgi/Pais, ’75; Georgi/Kaplan, ’84] Analogy: chiral symmetry breaking in QCD Upscale: Technicolor (ruled out by EWPO/LHC) Collective Symmetry Breaking: 3-scale model

Arkani-Hamed/Cohen/Georgi, ’01 Arkani-Hamed/Cohen/Gregoire/Wacker, ‘02

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Characteristics and Spectra

Extended global symmetry Radiative symmetry breaking (Coleman-Weinberg) Specific form of scalar potential Extended gauge symmetry New heavy gauge bosons New heavy (vector-like) fermions

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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The Littlest Higgs Model

Based on SU(5)/SO(5) coset:

hΣi =   1 1 1  

Broken generators (24-10=14):

Xa

Covariant derivative: Local symmetry: SU(2)1 ⊗ U(1)1 ⊗ SU(2)2 ⊗ U(1)2 → SU(2)L ⊗ U(1)Y eats up 4 Nambu-Goldstones

Y1 =

1 10diag (3, 3, −2, −2, −2)

Y2 =

1 10diag (2, 2, 2, −3, −3)

DµΣ = ∂µΣ − i

2

X

j=1

⇥ gjWj

• QjΣ + ΣQT

j

• + g0

jBj

• YjΣ + ΣY T

j

⇤

      SU(3) SU(3)      

Arkani-Hamed/Cohen/Katz/Nelson, ‘02

Qa

1 = 1

2   σa   Qa

2 = 1

2   −σa∗  

Goldstone bosons:

ΠaXa = 1 √ 2    h† h h∗ hT    + 1 2    Φ† Φ   

10 ⊕ 30 ⊕ 2± 1

2 ⊕ 3±1

MWH ∼ g · f MZH ∼ g · f MAH ∼ g · f MΦ ∼ f mh ∼

f 16π2

Σ(x) = e2iΠa(x)Xa/fhΣi

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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T-parity: a discrete symmetry for EWPO

Large contributions to EWPO Hewett/Petriello/Rizzo, ’02; Csáki/Hubisz/Kribs/Meade/Terning, ’03; Kilian/JRR, ‘03 Discrete symmetry: T (TeV)-Parity Cheng/Low, ’03-‘04 Involutary automorphism of symmetry algebra/coset space:

T : Π 7! ΩΠΩ Ω = diag(1, 1, 1, 1, 1) T a ! T a Xa ! Xa

(Almost) all new heavy particles T-odd Tree-level contributions to EWPO eliminated (also triplet 𝛸 vev) Bounds on f relaxed from ca. 4-5 TeV to 500-600 GeV Only pair production of new particles at colliders Typical cascade decays Mixing angle 45˚ between SU(2)i and U(1)i Lightest T-odd particle (LTP) is stable → Dark Matter candidate

MWH = MZH = gf = 400 − 700 GeV MAH = g0f √ 5 = 50 − 200 GeV

MΦ = 1 TeV

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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T-parity: a discrete symmetry for Dark Matter

• Lightest T-odd particle AH (50-200 GeV)
• Dominant decay via s-channel Higgs exchange

AH → h → WW, ZZ, hh Hubisz/Meade, ’03

• Constraints from overclosure of universe
• Heavy lepton/quark coannihilation helps Yang/Wang/Shu, ‘13

mh = 125 GeV

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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T-parity: a discrete symmetry for Dark Matter

• Lightest T-odd particle AH (50-200 GeV)
• Dominant decay via s-channel Higgs exchange

AH → h → WW, ZZ, hh Hubisz/Meade, ’03

• Constraints from overclosure of universe
• Heavy lepton/quark coannihilation helps Yang/Wang/Shu, ‘13

mh = 125 GeV

Xenon100 [SI XS]

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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T-parity: a discrete symmetry for Dark Matter

• Lightest T-odd particle AH (50-200 GeV)
• Dominant decay via s-channel Higgs exchange

AH → h → WW, ZZ, hh Hubisz/Meade, ’03

• Constraints from overclosure of universe
• Heavy lepton/quark coannihilation helps Yang/Wang/Shu, ‘13

mh = 125 GeV

Xenon100 [SI XS]

Severe constraints from direct detection

Yang/Wang/Shu, ’13; Wu/Yang/Zhang, ‘16

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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T-parity violation

AH → WW, ZZ

π → γγ

Phenomenological motivation: AH heavily constrained as DM candidate Assume T-parity violation DM candidate axion-like particle in mesonic sector of UV completion (+ QCD axion) T-parity violation: Wess/Zumino/Witten anomaly in UV sector Hill/Hill, ’07 In analogy to pion decays leads to

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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T-parity violation

Consequences: DM bounds gone, collider phenomenology may change Decays to WW, ZZ (1-loop induced); to ff (2-loop induced) Freitas/Schwaller/Wyler, ‘08 AH → WW, ZZ

π → γγ

Phenomenological motivation: AH heavily constrained as DM candidate Assume T-parity violation DM candidate axion-like particle in mesonic sector of UV completion (+ QCD axion) T-parity violation: Wess/Zumino/Witten anomaly in UV sector Hill/Hill, ’07 In analogy to pion decays leads to

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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T-parity violation

Γ(AH → ff) = ✓NC,fMAH 48π ◆ ✓ 1 −

4m2

f

M 2

AH

◆ 1

2

" c2

−

✓ 1 −

4m2

f

M 2

AH

◆ + c2

+

✓ 1 +

2m2

f

M 2

AH

◆#

Γ(AH → ZZ) = ✓ Ng0 80 √ 3π3 ◆2 ✓ 1 − 4m2

Z

M 2

AH

◆ 5

2 M 3

AHm2 Z

f 4 Γ(AH → W +W ) = ✓ Ng0 40 √ 3π3 ◆2 ✓ 1 − 4m2

W

M 2

AH

◆ 5

2 M 3

AHm2 W

f 4

500 1000 1500 2000 2500 3000 f in GeV 0.0 0.2 0.4 0.6 0.8 1.0 Branching Ratio WW (∗) qq ZZ(∗) ⌫⌫ bb ``

Consequences: DM bounds gone, collider phenomenology may change Decays to WW, ZZ (1-loop induced); to ff (2-loop induced) Freitas/Schwaller/Wyler, ‘08 AH → WW, ZZ

π → γγ

Phenomenological motivation: AH heavily constrained as DM candidate Assume T-parity violation DM candidate axion-like particle in mesonic sector of UV completion (+ QCD axion) T-parity violation: Wess/Zumino/Witten anomaly in UV sector Hill/Hill, ’07 In analogy to pion decays leads to

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Collective Symmetry Breaking / Fermion Masses

∝ f 2

∝ λ1λ2 16π2 × log ✓Λ2 µ2 ◆ h†h

LY ⊃ 1f 2 √ 2✏ijk✏xy(ΨiΣjxΣky − (Ψ0)i ˜ Σjx ˜ Σky)t1R +2f(t2Lt2R + t02Lt0

2R) + h.c.

i, j, k = 1, 2, 3 x, y = 4, 5 ˜ Σ = Σ0ΩΣ†ΩΣ0

R = λ1 λ2

f

κq κ`

mt = λ1λ2 λ2

1 + λ2 2

v = λ2R √ 1 + R2 v MT − = λ2f = mt v f √ 1 + R2 R MT + = mt v f(1 + R2) R = MT − p 1 + R2

Mu,− = √ 2 κqf ⇣ 1 − 1 8 v2 f 2 ⌘ Md,− = √ 2 κqf M`/⌫,− = √ 2 κlf

1st/2nd generation quarks & leptons: Top sector:

LY ⊃ idf 2 √ 2 ✏ij✏xyz(Ψ0xΣjyΣjzΣ

± 1

4

33 − (ΨΣ0)x ˜

Σiy ˜ Σjz ˜ Σ

± 1

4

33 )dR

Lκ = −κf(Ψ0eiΠaXa/fΨc + ΨΣ0ΩeiΠaXa/fΩΨc) + h.c.

Ψ =     ibL it1L t2L 02⇥1     Ψ0 =     02⇥1 t0

2L

ib0

L

it0

1L

    Ψ

T

! hΣiΨ0

Ψc =       idc, −iuc, χc, i ˜ dc, −i˜ uc       Ψc

T

← → −Ψc

“mirror fermions”

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Signatures and constraints on the LHT model

New heavy particles: vector-like T-odd/even quarks, T-odd vectors, LTP (AH) SUSY-like search signatures: mono-jets + MET, multi-jets (+MET), jets+leptons (+MET) Deviations in coupling constants at level of ≲ 5% (v2/f2) Modified HVV couplings:

2m2

V

v

• 1 + O(v2/f 2)
• hV · V

Modified ttH couplings:

m2

t

v h 1 + O(v2/f 2)

• htt

+ O(v2/f 2) htγ5t i

Modified Vff couplings:

g cW X

f

fγµh 1 + O(v2/f 2)

• gSM

L PL

+

• 1 + O(v2/f 2)
• gSM

R PR

i fZµ

Electroweak Precision Observables, e.g. T or ρ parameter:

• nly loop contributions (T-parity); partial cancellation of different terms

∆T = 3 16π m2

t

m2

Z

O(1) − X

qH,`H

κ2

q,`

192π2αW v2 f 2 + 1 8πc2

W

v2 f 2 log mH Λ + m2

W

2πe2g2f 2 O(1)

∆TT+

∆TqH,`H

∆THV V

∆TUV

Fine tuning defined as Higgs mass squared ratio to radiative corrections:

∆ := µexp.2 |δµ2|

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Electroweak Precision Observables

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Electroweak Precision Observables

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Electroweak Precision Observables

• Accidental cancellation to EWPO for R ≃ 1
• Bounds from 4-fermion contact interactions (later)
• Exclusion limits at 95% CL:

f & 405 GeV MW 0 & 270 GeV MT & 554 GeV

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Constraints from Higgs measurements

• Main driver of constraints from Higgs data: invisible decay channel H → AH AH
• Modifications of gluon fusion, vector boson fusion, top-associated production
• Minor effect: modifications in branching ratios (LHC cannot disentangle these!)

Signal strength modifier in channel i

µi = ni

S

nSM,i

S

= X

prod.

ni

S,pζi p

σSM

p

BRSM

i

− → ⇥ cgζi

g + c2 V ζi V + c2 tζi t

⇤ BRi BRSM

i

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Constraints from Higgs measurements

• Main driver of constraints from Higgs data: invisible decay channel H → AH AH
• Modifications of gluon fusion, vector boson fusion, top-associated production
• Minor effect: modifications in branching ratios (LHC cannot disentangle these!)

Signal strength modifier in channel i

µi = ni

S

nSM,i

S

= X

prod.

ni

S,pζi p

σSM

p

BRSM

i

− → ⇥ cgζi

g + c2 V ζi V + c2 tζi t

⇤ BRi BRSM

i

independence of R ⇔ collective symmetry breaking

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Constraints from Higgs measurements

• Main driver of constraints from Higgs data: invisible decay channel H → AH AH
• Modifications of gluon fusion, vector boson fusion, top-associated production
• Minor effect: modifications in branching ratios (LHC cannot disentangle these!)

Signal strength modifier in channel i

µi = ni

S

nSM,i

S

= X

prod.

ni

S,pζi p

σSM

p

BRSM

i

− → ⇥ cgζi

g + c2 V ζi V + c2 tζi t

⇤ BRi BRSM

i

independence of R ⇔ collective symmetry breaking

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Constraints from Higgs measurements

• Main driver of constraints from Higgs data: invisible decay channel H → AH AH
• Modifications of gluon fusion, vector boson fusion, top-associated production
• Minor effect: modifications in branching ratios (LHC cannot disentangle these!)

Signal strength modifier in channel i

µi = ni

S

nSM,i

S

= X

prod.

ni

S,pζi p

σSM

p

BRSM

i

− → ⇥ cgζi

g + c2 V ζi V + c2 tζi t

⇤ BRi BRSM

i

EWPT/Higgs data:

f & 694 GeV

independence of R ⇔ collective symmetry breaking

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Direct searches: Topologies & Benchmarks

Notation:

qH := {dH, uH, sH, cH, bH, tH} `H := {eH, µH, ⌧H, ⌫eH, ⌫µH⌫τH} VH := {WH, ZH, AH} T ± :=

T-even/odd top partners Production processes:

1. pp → qHqH, qH ¯ qH, ¯ qH ¯ qH 2. pp → qHVH 3. pp → `H ¯ `H 4. pp → VHVH 5. pp → T + ¯ T +, T − ¯ T − 6. pp → T+¯ q, ¯ T+q, T+W ±, ¯ T+W ±

2 x 2 x 3 different benchmark scenarios:

Sector Model Constraint Phenomenology Considered Topology fH Fermion Universality l = q

• mass degeneracy of qH, `H

Exclude process 3

• `H production negligible

Heavy qH q = 3.0

• qH decoupled

Exclude processes 1, 2

• `H production relevant

Light `H l = 0.2

• `H very light

Exclude process 3

• VH branching ratios change

T ± Light T ± R = 1.0

• T ± are light/accessible

Include process 4, 5 Heavy T ± R = 0.2

• T ± are heavy/inaccessible

Exclude process 4, 5 AH TPC No TPV

• AH is stable and invisible

AH stable TPV With TPV

• AH is unstable

AH → V V decays

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Cross Sections & Branching ratios (I)

500 1000 1500 2000 2500 3000 f in GeV 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 13 TeV) qHqH, qH ¯ qH, ¯ qH ¯ qH qHVH T − ¯ T − VHVH T + ¯ T +, T +¯ q + cc, T +W ± + cc 1 2 3 4 5 κq 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 13 TeV) qHqH, qH ¯ qH, ¯ qH ¯ qH qHVH VHVH T − ¯ T − T + ¯ T +, T +¯ q + cc, T +W ± + cc 500 1000 1500 2000 2500 3000 f in GeV 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 13 TeV) VHVH T − ¯ T − T + ¯ T +, T +¯ q + cc, T +W ± + cc fH ¯ fH 1 2 3 4 5 κ` 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 13 TeV) fH ¯ fH VHVH T − ¯ T − T + ¯ T +, T +¯ q + cc, T +W ± + cc

(Fermion Universality/Light 𝓂H) ⊕ (Light T±) 13 TeV (Heavy qH) ⊕ (Light T±) 13 TeV

Left: fixed 𝝀 Full line: f = 1 TeV Dashed: f = 2 TeV Right: fixed f Full line: 𝝀 = 1 TeV Dashed: 𝝀 = 2 TeV

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Cross Sections & Branching ratios (I)

500 1000 1500 2000 2500 3000 f in GeV 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 13 TeV) qHqH, qH ¯ qH, ¯ qH ¯ qH qHVH T − ¯ T − VHVH T + ¯ T +, T +¯ q + cc, T +W ± + cc 1 2 3 4 5 κq 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 13 TeV) qHqH, qH ¯ qH, ¯ qH ¯ qH qHVH VHVH T − ¯ T − T + ¯ T +, T +¯ q + cc, T +W ± + cc 500 1000 1500 2000 2500 3000 f in GeV 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 13 TeV) VHVH T − ¯ T − T + ¯ T +, T +¯ q + cc, T +W ± + cc fH ¯ fH 1 2 3 4 5 κ` 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 13 TeV) fH ¯ fH VHVH T − ¯ T − T + ¯ T +, T +¯ q + cc, T +W ± + cc

(Fermion Universality/Light 𝓂H) ⊕ (Light T±) 13 TeV (Heavy qH) ⊕ (Light T±) 13 TeV

Left: fixed 𝝀 Full line: f = 1 TeV Dashed: f = 2 TeV Right: fixed f Full line: 𝝀 = 1 TeV Dashed: 𝝀 = 2 TeV

destructive t-qH-channel interference w./ s-channel

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Cross Sections & Branching ratios (II)

Branching ratios have very small f dependence (only small f, mass effects)

1 2 3 4 5 κq 0.0 0.2 0.4 0.6 0.8 1.0 Branching Ratio q,AH q,WH q,ZH

dH, very similar: uH [FU,L𝓂]

1 2 3 4 5 q 0.0 0.2 0.4 0.6 0.8 1.0 Branching Ratio `,AH ⌫,WH `,ZH

𝓂H, very similar: 𝝃H [FU]

1 2 3 4 5 q 0.0 0.2 0.4 0.6 0.8 1.0 Branching Ratio h,AH q,qH `,`H b,bH ⌫,⌫H t,tH

WH, very similar: ZH [FU,Hq] WH, very similar: ZH [L𝓂]

1 2 3 4 5 q 0.0 0.2 0.4 0.6 0.8 1.0 Branching Ratio q,qH `,`H ⌫,⌫H b,bH t,tH 500 1000 1500 2000 2500 3000 f in GeV 0.0 0.2 0.4 0.6 0.8 1.0 Branching Ratio b,W t,Z t,h T −,AH

T+ [Light T-] Light T- : Light 𝓂H :

BR(T − → tAH) = 1

BR(`H/⌫H → `/⌫AH) = 1

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Toolchain for event simulation and recasting

Steering program and Recasting tool: CheckMate2 [Dercks/Desai/Kim/Rolbiecki/Tattersall/Weber, ’16] Model file for LHT model via UFO format [Degrande et al., ’12] Partonic events: MG5_aMC@NLO [Alwall et al., ’10] and WHIZARD v2.5 [Kilian/Ohl/JRR, ’10] Clustering, jet selection: FastJet v3.3 [Cacciari/Salam/Soyez, ’11] Parton shower and hadronization: Pythia v8.2 [Sjöstrand/Mrenna/Skands, ’08] Fast detector simulation: Delphes v3.2 [de Favereau et al., ’14]

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Toolchain for event simulation and recasting

Steering program and Recasting tool: CheckMate2 [Dercks/Desai/Kim/Rolbiecki/Tattersall/Weber, ’16] Model file for LHT model via UFO format [Degrande et al., ’12] Partonic events: MG5_aMC@NLO [Alwall et al., ’10] and WHIZARD v2.5 [Kilian/Ohl/JRR, ’10] Clustering, jet selection: FastJet v3.3 [Cacciari/Salam/Soyez, ’11] Parton shower and hadronization: Pythia v8.2 [Sjöstrand/Mrenna/Skands, ’08] Fast detector simulation: Delphes v3.2 [de Favereau et al., ’14]

All used searches that have been recasted here:

CM identifier Final State Designed for Lum. SR Ref. atlas conf 2016 096 / ET + 2-3 ` ˜ ±, ˜ 0, ˜ ` 13.3 8 ATLAS-CONF-2016-096 atlas conf 2016 054 / ET + 1 ` + (b)-j ˜ q, ˜ g 14.8 10 ATLAS-CONF-2016-054 atlas conf 2017 022 / ET + 0 ` + 2-6 j ˜ q, ˜ g 36.1 24 ATLAS-CONF-2017-022 atlas conf 2017 039 / ET + 2-3 ` ˜ ±, ˜ 0, ˜ ` 36.1 37 ATLAS-CONF-2017-039

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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13 TeV recasting results: Fermion Universality

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq

m ( q

) = 1 T e V m(qH) = 2 TeV e V m ( q

) = 3 T e V m(ZH) = 0.5 TeV m(ZH) = 1.0 TeV m(ZH) = 1.5 TeV

Covered by 8 TeV Covered by 13 TeV 500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq Covered by 0atlas conf 2017 0220

(Fermion Universality) ⊕ (Heavy T±) ⊕ (TPC)

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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13 TeV recasting results: Fermion Universality

(Fermion Universality) ⊕ (Light T±) ⊕ (TPC)

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq

m ( q

) = 1 T e V m(qH) = 2 TeV e V m ( q

) = 3 T e V m(T −) = 1 TeV m(T −) = 1.5 TeV m(T −) = 2 TeV

Covered by 8 TeV Covered by 13 TeV 500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq Covered by 0atlas conf 2017 0220

f × κ < f κmax

f κmax ∼ 1.5/2

High f: bounds follow M(qH) isocontours, , with TeV (Run 1/Run 2) Most effective analysis: search for 2 Jets + MET from pp → qH qH → j j AH AH + X Low f: independent of 𝜆, large 𝜆: qH too heavy; VH production, M(VH) ≳ 600 GeV, f ≳ 900 GeV Light T±: if kinematically accessible improve f-bound to f ≳ 1.3 TeV TPV: qH isocontours slightly weakened (more V), f-bound improved (!) [𝓂 take over j analyses]

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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13 TeV recasting results: Fermion Universality

(Fermion Universality) ⊕ (Heavy T±) ⊕ (TPV)

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq

m(AH) = 100 GeV m(AH) = 200 GeV m(AH) = 300 GeV m(qH) = 1 TeV m ( qH ) = 2 T e V eV m(qH) = 3 TeV m(ZH) = 0.5 TeV m(ZH) = 1.0 TeV m(ZH) = 1.5 TeV

Covered by 8 TeV Covered by 13 TeV 500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq Covered by 0atlas conf 2016 0540 Covered by 0atlas conf 2016 0960 Covered by 0atlas conf 2017 0220 Covered by 0atlas conf 2017 0390

f × κ < f κmax

f κmax ∼ 1.5/2

High f: bounds follow M(qH) isocontours, , with TeV (Run 1/Run 2) Most effective analysis: search for 2 Jets + MET from pp → qH qH → j j AH AH + X Low f: independent of 𝜆, large 𝜆: qH too heavy; VH production, M(VH) ≳ 600 GeV, f ≳ 900 GeV Light T±: if kinematically accessible improve f-bound to f ≳ 1.3 TeV TPV: qH isocontours slightly weakened (more V), f-bound improved (!) [𝓂 take over j analyses]

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13 TeV recasting results: Fermion Universality

(Fermion Universality) ⊕ (Light T±) ⊕ (TPV)

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq

m(AH) = 100 GeV m(AH) = 200 GeV m(AH) = 300 GeV m(qH) = 1 TeV m ( qH ) = 2 T e V eV m(qH) = 3 TeV m(T −) = 1 TeV m(T −) = 1.5 TeV m(T −) = 2 TeV

Covered by 8 TeV Covered by 13 TeV 500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq Covered by 0atlas conf 2016 0540 Covered by 0atlas conf 2016 0960 Covered by 0atlas conf 2017 0220 Covered by 0atlas conf 2017 0390

f × κ < f κmax

f κmax ∼ 1.5/2

High f: bounds follow M(qH) isocontours, , with TeV (Run 1/Run 2) Most effective analysis: search for 2 Jets + MET from pp → qH qH → j j AH AH + X Low f: independent of 𝜆, large 𝜆: qH too heavy; VH production, M(VH) ≳ 600 GeV, f ≳ 900 GeV Light T±: if kinematically accessible improve f-bound to f ≳ 1.3 TeV TPV: qH isocontours slightly weakened (more V), f-bound improved (!) [𝓂 take over j analyses]

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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13 TeV recasting results: Heavy qH

(Heavy qH) ⊕ (Heavy T±) ⊕ (TPC)

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κ`

m(lH) = 1 TeV m ( lH ) = 2 T e V m(lH) = 3 TeV m(ZH) = 0.5 TeV m(ZH) = 1.0 TeV m(ZH) = 1.5 TeV

Covered by 8 TeV Covered by 13 TeV 500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κ` Covered by 0atlas conf 2017 0390 Covered by 0atlas conf 2017 0220

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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13 TeV recasting results: Heavy qH

(Heavy qH) ⊕ (Light T±) ⊕ (TPC)

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κ`

m(lH) = 1 TeV m ( lH ) = 2 T e V m(lH) = 3 TeV m(T −) = 1 TeV m(T −) = 1.5 TeV m(T −) = 2 TeV

Covered by 8 TeV Covered by 13 TeV 500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κ` Covered by 0atlas conf 2017 0390 Covered by 0atlas conf 2017 0220

qH → q VH ⟹ 𝓂H → 𝓂 VH ; multijets ⟹ multileptons 𝜏(pp → qHqH) 2-3 orders of magnitudes larger than 𝜏(pp → 𝓂H 𝓂H) Limits for large f similar to FU: exclusions f ≳ 950 GeV (1350 GeV with T±) 𝜆 ≲ 0.5: VH → 𝓂H𝓂 now open; covered by multilepton analysis; f ≳ 1.9 TeV Only very tiny changes for TPV

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13 TeV recasting results: Heavy qH

(Heavy qH) ⊕ (Heavy T±) ⊕ (TPV)

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κ`

m(AH) = 100 GeV m(AH) = 200 GeV m(AH) = 300 GeV m(lH) = 1 TeV m ( lH ) = 2 T e V m(lH) = 3 TeV

Covered by 8 TeV Covered by 13 TeV 500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κ` Covered by 0atlas conf 2017 0390 Covered by 0atlas conf 2016 0960

qH → q VH ⟹ 𝓂H → 𝓂 VH ; multijets ⟹ multileptons 𝜏(pp → qHqH) 2-3 orders of magnitudes larger than 𝜏(pp → 𝓂H 𝓂H) Limits for large f similar to FU: exclusions f ≳ 950 GeV (1350 GeV with T±) 𝜆 ≲ 0.5: VH → 𝓂H𝓂 now open; covered by multilepton analysis; f ≳ 1.9 TeV Only very tiny changes for TPV

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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13 TeV recasting results: Heavy qH

(Heavy qH) ⊕ (Light T±) ⊕ (TPV)

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κ`

m(AH) = 100 GeV m(AH) = 200 GeV m(AH) = 300 GeV m(lH) = 1 TeV m ( lH ) = 2 T e V m(lH) = 3 TeV m(T −) = 1 TeV m(T −) = 1.5 TeV m(T −) = 2 TeV

Covered by 8 TeV Covered by 13 TeV 500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κ` Covered by 0atlas conf 2017 0390 Covered by 0atlas conf 2016 0960

qH → q VH ⟹ 𝓂H → 𝓂 VH ; multijets ⟹ multileptons 𝜏(pp → qHqH) 2-3 orders of magnitudes larger than 𝜏(pp → 𝓂H 𝓂H) Limits for large f similar to FU: exclusions f ≳ 950 GeV (1350 GeV with T±) 𝜆 ≲ 0.5: VH → 𝓂H𝓂 now open; covered by multilepton analysis; f ≳ 1.9 TeV Only very tiny changes for TPV

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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13 TeV recasting results: Light 𝓂H

(Light 𝓂H) ⊕ (Heavy T±) ⊕ (TPC)

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq

m ( q

) = 1 T e V m(qH) = 2 TeV m ( q

) = 3 T e V m(ZH) = 0.5 TeV m(ZH) = 1.0 TeV m(ZH) = 1.5 TeV

Covered by 8 TeV Covered by 13 TeV 500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq Covered by 0atlas conf 2017 0220 Covered by 0atlas conf 2017 0390

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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13 TeV recasting results: Light 𝓂H

(Light 𝓂H) ⊕ (Light T±) ⊕ (TPC)

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq

m ( q

) = 1 T e V m(qH) = 2 TeV m ( q

) = 3 T e V m(T −) = 1 TeV m(T −) = 1.5 TeV m(T −) = 2 TeV

Covered by 8 TeV Covered by 13 TeV 500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq Covered by 0atlas conf 2017 0220 Covered by 0atlas conf 2017 0390

2 main exclusion regions, intersect at f ≈ 1.6 TeV and 𝜆q ≈ 1.2 𝜆q > 0.5: 3𝓂 search, pp → qH qH → j j VH VH → j j 𝓂𝓂𝓂𝓂 AH AH 𝜆q < 0.5: VH have hadronic decays, multi-jet analyses dominate Large-𝜆 bound stronger due to leptons compared to Fermion Universality Presence of T± leads only to marginal changes TPV: bounds slightly weakened due to smaller MET cut efficiency

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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13 TeV recasting results: Light 𝓂H

(Light 𝓂H) ⊕ (Heavy T±) ⊕ (TPV)

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq

m(AH) = 100 GeV m(AH) = 200 GeV m(AH) = 300 GeV m ( q

) = 1 T e V m(qH) = 2 TeV m(qH) = 3 TeV

Covered by 8 TeV Covered by 13 TeV 500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq Covered by 0atlas conf 2016 0540 Covered by 0atlas conf 2017 0390 Covered by 0atlas conf 2016 0960

2 main exclusion regions, intersect at f ≈ 1.6 TeV and 𝜆q ≈ 1.2 𝜆q > 0.5: 3𝓂 search, pp → qH qH → j j VH VH → j j 𝓂𝓂𝓂𝓂 AH AH 𝜆q < 0.5: VH have hadronic decays, multi-jet analyses dominate Large-𝜆 bound stronger due to leptons compared to Fermion Universality Presence of T± leads only to marginal changes TPV: bounds slightly weakened due to smaller MET cut efficiency

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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13 TeV recasting results: Light 𝓂H

(Light 𝓂H) ⊕ (Light T±) ⊕ (TPV)

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq

m(AH) = 100 GeV m(AH) = 200 GeV m(AH) = 300 GeV m ( q

) = 1 T e V m(qH) = 2 TeV m(qH) = 3 TeV m(T −) = 1 TeV m(T −) = 1.5 TeV m(T −) = 2 TeV

Covered by 8 TeV Covered by 13 TeV 500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κq Covered by 0atlas conf 2016 0540 Covered by 0atlas conf 2017 0390 Covered by 0atlas conf 2016 0960

2 main exclusion regions, intersect at f ≈ 1.6 TeV and 𝜆q ≈ 1.2 𝜆q > 0.5: 3𝓂 search, pp → qH qH → j j VH VH → j j 𝓂𝓂𝓂𝓂 AH AH 𝜆q < 0.5: VH have hadronic decays, multi-jet analyses dominate Large-𝜆 bound stronger due to leptons compared to Fermion Universality Presence of T± leads only to marginal changes TPV: bounds slightly weakened due to smaller MET cut efficiency

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Bounds from 4-fermion operators

Low-energy bounds: flavor observables (kaon, D-, B-physics) [Blanke et al., ’06, ’15] Mirror fermions generate 4-fermion operators via box diagrams [Hubisz/Meade/Noble/Perelstein, ’06]

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Bounds from 4-fermion operators

Low-energy bounds: flavor observables (kaon, D-, B-physics) [Blanke et al., ’06, ’15] Mirror fermions generate 4-fermion operators via box diagrams [Hubisz/Meade/Noble/Perelstein, ’06] Goldstone bosons of heavy gauge bosons Mirror fermions

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Bounds from 4-fermion operators

Low-energy bounds: flavor observables (kaon, D-, B-physics) [Blanke et al., ’06, ’15] Mirror fermions generate 4-fermion operators via box diagrams [Hubisz/Meade/Noble/Perelstein, ’06] Goldstone bosons of heavy gauge bosons Mirror fermions

• O4ferm. = −

κ2

q,`

128π2f 2 ⇣ ψLγµψL ⌘⇣ ψ

Lγµψ0 L

⌘

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Bounds from 4-fermion operators

Low-energy bounds: flavor observables (kaon, D-, B-physics) [Blanke et al., ’06, ’15] Mirror fermions generate 4-fermion operators via box diagrams [Hubisz/Meade/Noble/Perelstein, ’06] Goldstone bosons of heavy gauge bosons Mirror fermions

• O4ferm. = −

κ2

q,`

128π2f 2 ⇣ ψLγµψL ⌘⇣ ψ

Lγµψ0 L

⌘

Strongest constraints still from LEP:

Λ [(ee)(qq)] & 26.4 TeV

LHC Dijet Bounds:

Λ [(qq)(qq)] & 15.7 TeV

⟹ EWPO

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LHC Run 2 and EWPO/Higgs Results

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κ

0.1 % 0.5 % 1 %

Excluded by LHC Run1 Excluded by LHC Run2 Excluded by EWPO Fine − Tuning

(Fermion Universality) ⊕ (Heavy T±) ⊕ (T-parity conservation)

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LHC Run 2 and EWPO/Higgs Results

(Fermion Universality) ⊕ (Light T±) ⊕ (T-parity conservation)

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κ

0.1 % . 5 % 1 %

Excluded by LHC Run1 Excluded by LHC Run2 Excluded by EWPO Fine − Tuning

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LHC Run 2 and EWPO/Higgs Results

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κ

0.1 % . 5 % 1 %

Excluded by LHC Run1 Excluded by LHC Run2 Excluded by EWPO Fine − Tuning

(Heavy qH) ⊕ (Heavy T±) ⊕ (T-parity conservation)

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LHC Run 2 and EWPO/Higgs Results

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κ

0.1 % . 5 % 1 %

Excluded by LHC Run1 Excluded by LHC Run2 Excluded by EWPO Fine − Tuning

(Heavy qH) ⊕ (Light T±) ⊕ (T-parity conservation)

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LHC Run 2 and EWPO/Higgs Results

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κ

0.1 % 0.5 % 1 %

Excluded by LHC Run1 Excluded by LHC Run2 Excluded by EWPO Fine − Tuning

(Light 𝓂H) ⊕ (Heavy T±) ⊕ (T-parity conservation)

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LHC Run 2 and EWPO/Higgs Results

500 1000 1500 2000 2500 3000 f in GeV 1 2 3 4 5 κ

0.1 % . 5 % 1 %

Excluded by LHC Run1 Excluded by LHC Run2 Excluded by EWPO Fine − Tuning

(Light 𝓂H) ⊕ (Light T±) ⊕ (T-parity conservation)

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Prospects for 14 TeV HL-LHC

CM identifier Final State Designed for Ref. atlas 2014 010 hl 3l / ET + 3 ` ˜ ±, ˜ ATL-PHYS-PUB-2014-010 atlas phys 2014 010 sq hl / ET + 0 ` + 2-6 j ˜ q, ˜ g ATL-PHYS-PUB-2014- 010 dilepton hl / ET + 2 ` ˜ ±, ˜ ` based on 1403.5294

qH mass bounds improves by 1.0-1.5 TeV: M(qH) ≳ 3-4 TeV

500 1000 1500 2000 2500 3000 3500 4000 f in GeV 1 2 3 4 5 κq

m ( q ) = 1 T e V m(qH) = 1 TeV m(qH) = 2 TeV m ( qH ) = 3 T e V m ( q

) = 4 T e V m(ZH) = 1.0 TeV m(ZH) = 1.5 TeV m(ZH) = 2.0 TeV

Covered by 13 TeV Covered by 14 TeV 500 1000 1500 2000 2500 3000 3500 4000 f in GeV 1 2 3 4 5 κq Covered by 0dilepton hl0 Covered by 0atlas 2014 010 hl 3l0 Covered by 0atlas phys 2014 010 sq hl0

(Fermion Universality) ⊕ (Heavy T±) ⊕ (TPC) 14 TeV 3,000 / fb

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Prospects for 14 TeV HL-LHC

CM identifier Final State Designed for Ref. atlas 2014 010 hl 3l / ET + 3 ` ˜ ±, ˜ ATL-PHYS-PUB-2014-010 atlas phys 2014 010 sq hl / ET + 0 ` + 2-6 j ˜ q, ˜ g ATL-PHYS-PUB-2014- 010 dilepton hl / ET + 2 ` ˜ ±, ˜ ` based on 1403.5294

Relatively moderate improvements for 𝓂H mass bounds

500 1000 1500 2000 2500 3000 3500 4000 f in GeV 1 2 3 4 5 κ`

m ( l ) = 1 T e V m(lH) = 1 TeV m ( lH ) = 2 T e V m(lH) = 3 TeV m(lH) = 4 TeV m(ZH) = 1.0 TeV m(ZH) = 1.5 TeV m(ZH) = 2.0 TeV

Covered by 13 TeV Covered by 14 TeV 500 1000 1500 2000 2500 3000 3500 4000 f in GeV 1 2 3 4 5 κ` Covered by 0dilepton hl0 Covered by 0atlas 2014 010 hl 3l0 Covered by 0atlas phys 2014 010 sq hl0

(Heavy qH) ⊕ (Heavy T±) ⊕ (TPC) 14 TeV 3,000 / fb

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Prospects for 14 TeV HL-LHC

CM identifier Final State Designed for Ref. atlas 2014 010 hl 3l / ET + 3 ` ˜ ±, ˜ ATL-PHYS-PUB-2014-010 atlas phys 2014 010 sq hl / ET + 0 ` + 2-6 j ˜ q, ˜ g ATL-PHYS-PUB-2014- 010 dilepton hl / ET + 2 ` ˜ ±, ˜ ` based on 1403.5294

500 1000 1500 2000 2500 3000 3500 4000 f in GeV 1 2 3 4 5 κq

m(q ) = 1 TeV m(qH) = 1 TeV m ( q

) = 2 T e V m ( qH ) = 3 T e V m ( q

) = 4 T e V m(ZH) = 1.0 TeV m(ZH) = 1.5 TeV m(ZH) = 2.0 TeV

Covered by 13 TeV Covered by 14 TeV 500 1000 1500 2000 2500 3000 3500 4000 f in GeV 1 2 3 4 5 κq Covered by 0atlas phys 2014 010 sq hl0 Covered by 0dilepton hl0

(Light 𝓂H) ⊕ (Heavy T±) ⊕ (TPC) 14 TeV 3,000 / fb Little improvement compared to 13 TeV

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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Conclusions / Summary

✦ Little Higgs models explain light Higgs as (pseudo-)Nambu-Goldstone boson ✦ Solves (little) hierarchy breaking by collective symmetry breaking ✦ EFT description of coset space, most commonly embedded in Composite Model ✦ Inclusion of discrete symmetry (T-parity) for EWPO and DM ✦ Constraints on parameter space from EWPO / Higgs data / direct searches ✦ 4-fermion operators give strict bounds (complimentary to direct searches) ✦ With LHC Run 2 scales go up into TeV range: f ≳ 1.3 TeV ✦ LHC bounds & LUX / Xenon direct detection (almost) rule LHT DM ✦ Prospects for 14 TeV HL-LHC: exclusion 1.5-1.8 TeV [preliminary] ✦ Higgs data (except for H →AH AH) irrelevant ⇒ need for a lepton collider

23

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One Ring to Find Them … One Ring to Rule Them Out ?

J.R.Reuter LTP model and LHC Run 2 data Seminar, Grenoble, 21.03.2018

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BACKUP SLIDES

25

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Cross Sections 8 TeV

(Fermion Universality/Light 𝓂H) ⊕ (Light T±) 8 TeV (Heavy qH) ⊕ (Light T±) 8 TeV

Left: fixed 𝝀 Full line: f = 1 TeV Dashed: f = 2 TeV Right: fixed f Full line: 𝝀 = 1 TeV Dashed: 𝝀 = 2 TeV

1 2 3 4 5 κ` 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 8 TeV) fH ¯ fH VHVH T − ¯ T − T + ¯ T +, T +¯ q + cc, T +W ± + cc 500 1000 1500 2000 2500 3000 f in GeV 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 8 TeV) VHVH T − ¯ T − T + ¯ T +, T +¯ q + cc, T +W ± + cc fH ¯ fH 1 2 3 4 5 κq 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 8 TeV) qHqH, qH ¯ qH, ¯ qH ¯ qH qHVH VHVH T − ¯ T − T + ¯ T +, T +¯ q + cc, T +W ± + cc 500 1000 1500 2000 2500 3000 f in GeV 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 8 TeV) qHqH, qH ¯ qH, ¯ qH ¯ qH qHVH T − ¯ T − VHVH T + ¯ T +, T +¯ q + cc, T +W ± + cc

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Cross Sections 14 TeV

(Fermion Universality/Light 𝓂H) ⊕ (Light T±) 14 TeV (Heavy qH) ⊕ (Light T±) 14 TeV

Left: fixed 𝝀 Full line: f = 1 TeV Dashed: f = 2 TeV Right: fixed f Full line: 𝝀 = 1 TeV Dashed: 𝝀 = 2 TeV

500 1000 1500 2000 2500 3000 f in GeV 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 14 TeV) qHqH, qH ¯ qH, ¯ qH ¯ qH qHVH T − ¯ T − VHVH T + ¯ T +, T +¯ q + cc, T +W ± + cc 1 2 3 4 5 κq 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 14 TeV) qHqH, qH ¯ qH, ¯ qH ¯ qH qHVH VHVH T − ¯ T − T + ¯ T +, T +¯ q + cc, T +W ± + cc 500 1000 1500 2000 2500 3000 f in GeV 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 14 TeV) VHVH T − ¯ T − T + ¯ T +, T +¯ q + cc, T +W ± + cc fH ¯ fH 1 2 3 4 5 κ` 10−2 10−1 100 101 102 103 104 Cross Section in fb (for√s = 14 TeV) fH ¯ fH VHVH T − ¯ T − T + ¯ T +, T +¯ q + cc, T +W ± + cc