National Central University Academia Sinica National Center for Theoretical Sciences Cheng-Wei Chiang P HENOMENOLOGY OF H IGGS B OSONS IN THE G EORGI -M ACHACEK M ODEL November 3, 2015 LCWS2015 @ Whistler, Canada CWC and K Yagyu, JHEP 1301 (2013) 026 CWC, AL Kuo and K Yagyu, JHEP 1310 (2013) 072 CWC, S Kanemura and K Yagyu, PRD 90 (2014) 115025 CWC and K Tsumura, JHEP 1504 (2015) 113 CWC, S Kanemura and K Yagyu, arXiv:1510.06297 [hep-ph] CWC, AL Kuo and T Yamada, to arXiv:1511.xxxxx [hep-ph] 1
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HIGGS BOSONS IN THE - International Linear Collider · PDF file1 arXiv:1511.xxxxx [hep-ph] QUICK OVERVIEW OF THIS TALK • Georgi-Machacek Model • Higgs decay pattern • Constraints
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National Central UniversityAcademia Sinica
National Center for Theoretical Sciences
Cheng-Wei Chiang
PHENOMENOLOGY OF
HIGGS BOSONS IN THE
GEORGI-MACHACEK MODEL
November 3, 2015LCWS2015 @ Whistler, Canada
CWC and K Yagyu, JHEP 1301 (2013) 026 CWC, AL Kuo and K Yagyu, JHEP 1310 (2013) 072CWC, S Kanemura and K Yagyu, PRD 90 (2014) 115025CWC and K Tsumura, JHEP 1504 (2015) 113CWC, S Kanemura and K Yagyu, arXiv:1510.06297 [hep-ph]CWC, AL Kuo and T Yamada, to arXiv:1511.xxxxx [hep-ph]1
QUICK OVERVIEW OF THIS TALK
• Georgi-Machacek Model• Higgs decay pattern• Constraints from LHC data
• SM-like Higgs, like-sign W, extra neutral Higgs searches
• ILC phenomenology• Summary
2
WHY HIGGS TRIPLETS?
• Higgs triplet models have the following intriguing features:• type-II seesaw for Majorana neutrino mass, generated by the
VEV of the new scalar (automatically induced by EWSB);• existence of a doubly-charged Higgs boson, leading to like-sign
LNV and possibly even LFV processes at tree level;➠ a link between neutrino and LHC physics
• SM-like Higgs possibly with stronger couplings with weak bosons;
• existence of a H±W∓Z vertex at tree level through mixing (only loop-induced in models such as 2HDM).
All models are wrong, but some are useful.--- George E.P. Box
3
GEORGI-MACHACEK MODEL
• The Higgs sector includes SM doublet field φ (2,1/2) and triplet fields χ (3,1) and ξ (3,0)
transformed under SU(2)L×SU(2)R as Φ → UL Φ UR† and Δ → UL Δ UR† with UL,R = exp(i θL,Ra Ta) and Ta being corresponding SU(2) generators.
� =
✓�0⇤ �+
�� �0
◆, � =
0
@�0⇤ ⇠+ �++
�� ⇠0 �+
��� ⇠� �0
1
A
Georgi, Machacek 1985Chanowitz, Golden 1985
SU(2)LSU(2)R
4
GEORGI-MACHACEK MODEL
• The Higgs sector includes SM doublet field φ (2,1/2) and triplet fields χ (3,1) and ξ (3,0)
transformed under SU(2)L×SU(2)R as Φ → UL Φ UR† and Δ → UL Δ UR† with UL,R = exp(i θL,Ra Ta) and Ta being corresponding SU(2) generators.
• Take vχ = vξ ≡ vΔ (aligned VEV).➠ SU(2)L×SU(2)R → custodial SU(2)V ➠ ρ = 1 at tree level
Georgi, Machacek 1985Chanowitz, Golden 1985
� =
✓v� �+
�� v�
◆, � =
0
@v� ⇠+ �++
�� v� �+
��� ⇠� v�
1
A
5
VACUUM EXPECTATION VALUE
• The VEV’s are subject to the constraint
with two mixing angle definitions seen in the literature:
• One could attribute EWSB entirely to vΔ (≃ 87 GeV) while keeping vφ = 0.
• Perturbativity of top Yukawa coupling demands vΔ ≲ 80 GeV.➠ other constraints later
Georgi, Machacek 1985Chanowitz, Golden 1985
6
v2 = v2� + 8v2� =1p2GF
= (246 GeV)2
tan ✓H =
2
p2v�v�
or tan� =
v�2
p2v�
CUSTODIAL SU(2) CLASSIFICATION
CP-even
CP-even
CP-odd
∆: 3 ⊗ 3 Φ: 2 ⊗ 2
5 ⊕ 3 ⊕ 1 3 ⊕ 1
SU(2)L ⊗ SU(2)R
SU(2)V
H5 ⌘
2
66664
H++5
H+5
H05
H�5
H��5
3
77775
H3 ⌘
2
4H+
3
H03
H�3
3
5H1 ⌘
⇥H0
1
⇤
�3 ⌘
2
4w+
z0
w�
3
5h
mixing angle αmixing angle β or θH
(125 GeV)
mH5
mH3mH1
mh
mass degeneracy within each representation as a result of custodial symmetry
7
NEUTRAL HIGGS COUPLINGS
• Normalize all couplings to those for SM Higgs boson(V = W,Z; F = quarks):
gauge-phobic
quark-phobic
Higgs F V
hcos↵
sin�sin� cos↵�
r8
3cos� sin↵
H01
sin↵
sin�sin� sin↵+
r8
3cos� cos↵
H03 i⌘f cot� 0
H05 0 W = �cos�p
3and Z =
2 cos�p3
⌘f = +1 for up-type quarks and �1 for down-type quarks and charged leptons.
independent of α
group factor that makes it possible for the entire factor to be greater than 1(mixing required)
8
F =g'FF
gSMhFF
, V =g'V V
gSMhV V
suppressed by α
DECAY PATTERN
• Decay rates of new Higgs bosons generally depend on their mass hierarchy, vΔ (or tanθH), and mixing angle α.
• Fix mh = 125 GeV and α = 0 to be specific.• Decay rates now depend upon vΔ, mH3 and the mass
splitting between 5-plet and 3-plet:
• General mass spectra without fixing α and consistent with current Higgs data and some other theoretical and experimental constraints have recently been worked out.
�m ⌘ mH3 �mH5
9
CWC, Kuo, Yamada, to appear
DECAYS OF H5 BOSONS
mH5 > mH3
mH5 = mH3
doubly-charged singly-charged neutral
vΔ is an important order parameter of the model.10
• In the case of small vΔ, both H±± and H± decay dominantly into leptonic final states, same as the simplest Higgs triplet model in phenomenology.
SIGNATURE FOR SMALL VΔ
(GeV)±±Hm200 300 400 500 600 700 800
)-1
Lum
inos
ity (f
b
-110
1
10
210
Discovery potential
3 lepton≥
4 lepton
550 GeV
600 GeV
Akeroyd, CWC, Gaur 2010
14-TeV LHC
11
CMS 2012
A general lower bound of 400 GeV from like-sign dilepton modes is given by both ATLAS and CMS. ATLAS 2012, 2014
PRODUCTION FOR LARGE VΔ
• For large vΔ, H±± couples dominantly to weak bosons.• VBF as dominant production processes for sufficiently
large vΔ and sufficiently large MH±±.CWC, Nomura, Tsumura PRD 2012
VBF process
an experimentally less explored scenario, and unique for GM12
CONSTRAINT FROM HSM
• Take MH5 = MH3 = MH1 = 300 GeV as an example.• Allowed region in mixing angle space
• signal strengths(~2013 summer)
• unitarity• vacuum stability• Rb
• S parameter• hVV coupling up
by ~1.3 allowed
chV V ⌘ gGMhV V /g
SMhV V
CWC, Kuo, Yagyu JHEP 2013
13
IMPORTANCE OF VBF PROCESSES
μVVGGF = 1.0 ± 0.1 κV contours κF contours• Enhancement (suppression) in BR(h→VV) due to κV > 1
(< 1) is compensated by suppression (enhancement) in gluon fusion cross section due to κF < 1 (> 1).➠ importance of studying the VBF processes in GM
easier to determine H5±± mass than the other two14 TeV, 100 /fb
15
chVV = 1.3 with (θH,α) = (40°,55°) and MH5 = MH3 = MH1 = 300 GeV ➠ no mass hierarchy
CONSTRAINT FROM H5±±
• ATLAS data of same-sign di-boson events (20.3/fb, 8-TeV) can be used to limit the vΔ-mH5 plane:
• Results are independent of α.
ATLAS 2014
100 200 300 400 500 600 700 800
mH5
, mH3
[GeV]
20
30
40
50
60
70
v∆ [
GeV
]
Excluded
at t
he 68%
CL
Allowed
Excluded
at t
he 95%
CLExcluded by R b
100 200 300 400 500 600 700 800 900 1000
mH5
, mH3
[GeV]
0
10
20
30
40
50
60
70
v∆ [
GeV
]
30 fb-1
100 fb-1
300 fb-1
3000 fb-1
Excluded by R b
most severe bound on vΔ at mH5 = 200 GeV
more improvement in high mass region
for mH5 ≲ 200 GeV, more events from 5-plet Higgses
are rejected by kinematic cuts
limit from 8-TeV LHC of 20.3 /fb 5σ reach at 14-TeV LHC
16
CWC, Kanemura, Yagyu PRD 2014
SEARCHES OF OTHER NEUTRAL HIGGSES
[GeV]Hm300 400 500 600 700 800 900 1000
BR
[pb]
× σ
95%
CL
Lim
it on
-310
-210
-110
1
10Obs. ggFExp. ggF
σ1 ±σ2 ±
BR× Thσ-1Ldt = 20.7 fb∫ = 8 TeV s
ATLAS Preliminary, NWAνµνe→WW→H
[GeV]Hm300 400 500 600 700 800 900 1000
BR
[pb]
× σ
95%
CL
Lim
it on
-310
-210
-110
1
10Obs. VBFExp. VBF
σ1 ±σ2 ±
BR× Thσ-1Ldt = 20.7 fb∫ = 8 TeV s
ATLAS Preliminary, NWAνµνe→WW→H
[GeV]Hm200 400 600 800 1000
BR
[fb]
× σ
95%
CL
limit
on
-110
1
10
210
310 PreliminaryATLAS
4l→ ZZ→H-1Ldt =20.7 fb∫
=8 TeVs
Obs ggFExp ggF
σ 1 ±
σ 2 ± BR× SMσ
ATLAS 2014
[GeV]Hm200 400 600 800 1000
BR
[fb]
× σ
95%
CL
limit
on
-110
1
10
210 PreliminaryATLAS
4l→ ZZ→H-1Ldt =20.7 fb∫
=8 TeVs
Obs VBF+VHExp VBF+VH
σ 1 ±
σ 2 ± BR× SMσ
[GeV]Xm60 70 80 90 100 200 300 400 500 600
BR
[fb]
⋅ fid
σ95
% C
L lim
it on
-110
1
10
210
ATLAS-1Ldt = 20.3 fb∫ = 8 TeV, s
ObservedExpected
σ 1 ±σ 2 ±
17
CONSTRAINT FROM H10
• Constraints from VBF channels are stronger than those from GGF mechanism.
• ZZ is more constraining than WW when MH1≲375 GeV as the former has a slightly better experimental sensitivity.
• The γγ mode (GGF+VBF) provides useful bounds on vΔ in the low-mass regime.
• All of them are sensitive to α.
CWC and Tsumura JHEP 2015
18
CONSTRAINT FROM H50
• Since H5 does not couple to SM quarks and charged leptons, it has only VBF ZZ, WW, and γγ channels.
• Constraints are generally weaker, but independent of α.• The WW mode does not provide a useful constraint.
19
CWC and Tsumura JHEP 2015
NO CONSTRAINT FROM H30 YET
• Signal strength of H30→ff is significantly enhanced in the mass range between 2MW and 2Mt:
• Use these modes to search for H30 or constrain the model.
hZ threshold tt threshold
µGGFFF [H3] = (H3
F )2FA1/2(MH3)
FS1/2(MH3)
⇥ BF
BSMF (MH3)
1�
4M2f
M2H3
!�1
20
CWC and Tsumura JHEP 2015
5-PLET AT ILC• Three types of production modes at ILC:
• Pair production (PP) processes
• Vector boson associated (VBA) processes
• Vector boson fusion (VBF) processes
e+e� ! Z⇤/�⇤ ! H++5 H��
5
e+e� ! Z⇤/�⇤ ! H+5 H�
5
e+e� ! Z⇤/�⇤/⌫⇤e ! H±±5 W⌥W⌥
e+e� ! Z⇤ ! H±5 W⌥ , H0
5Z
e+e� ! H±5 e⌥⌫e
e+e� ! H05e
+e� , H05⌫e⌫̄e
independent of vΔ dominant for small vΔ kinematically limited to √s/2
depending on vΔ dominant for large vΔ and mH5 up to √s − MW,Zinvolving H5±W∓Z vertex
depending on vΔ dominant for large vΔ and mH5 up to ~√sinvolving H5±W∓Z vertex
21
CROSS SECTIONS @ ILC
H5+H5−
PP
VBA
VBA
VBF
CWC, Kanemura, Yagyu 2015
100 200 300 400 500
mH5
[GeV]
10-1
100
101
102
103
σ [
fb]
Pair Productions
H5
++H
5
−−
H5
+H
5
−
100 200 300 400 500 600 700 800 900 1000
mH5
[GeV]
10-1
100
101
102
σ [
fb]
Vector Boson Associated Productions
v∆ = 50 GeV H
5
+W
− + c.c.
H5
0Z
H5
++W
−W
− + c.c.
100 200 300 400 500 600 700 800 900 1000
mH5
[GeV]
10-1
100
101
102
σ [
fb]
Vector Boson Fusion Productions
H5
+e
−ν + c.c.
H5
0νν
v∆ = 50 GeV
H5
0 e
+e
−
22
ps = 500 GeV (solid), 1 TeV (dashed)
independent of α
VBA CROSS SECTIONS @ ILCCWC, Kanemura, Yagyu 2015
100 150 200 250 300 350 400 450
mH5
[GeV]
0
10
20
30
40
50
60
70
80
v∆ [
GeV
]
e+e
− H
5
0Z
50 fb
20 fb
10 fb
5 fb
1 fb
→
100 150 200 250 300 350 400 450
mH5
[GeV]
0
10
20
30
40
50
60
70
80
v∆ [
GeV
]
e+e
− H
5
+W
− + c.c.
50 fb
20 fb
10 fb
5 fb
1 fb
→
100 150 200 250 300 350 400 450
mH5
[GeV]
0
10
20
30
40
50
60
70
80
v∆ [
GeV
]
e+e
− H
5
++W
−W
− + c.c.→
1 f
b
5 f
b
10 f
b
95% CL , 8 TeV, 20 fb-1
5σ , 14 TeV, 300 fb-1
5σ , 14 TeV, 3000 fb-1
0.5
fb
0.1
fb
100 200 300 400 500 600 700 800 900
mH5
[GeV]
0
10
20
30
40
50
60
70
80
v∆ [
GeV
]
10 fb
5 fb
1 fb
0.1 fb
100 200 300 400 500 600 700 800 900
mH5
[GeV]
0
10
20
30
40
50
60
70
80
v∆ [
GeV
]
1 fb
20 fb
10 fb
5 fb
0.1 fb
100 200 300 400 500 600 700 800 900
mH5
[GeV]
0
10
20
30
40
50
60
70
80
v∆ [
GeV
]
5 fb
1 fb
10 fb
0.1 fb
23
ps = 1 TeV
ps = 500 GeV
INVARIANT MASS DISTRIBUTIONS
• Invariant mass distributions for subsystems of the e+e−→ W+W−Z process including ISR with scale set at √s.
• Narrow peaks are due to H5± and H50, respectively.• Precise measurement of the H5±W∓Z vertex is possible.
CWC, Kanemura, Yagyu 2015
24
0 100 200 300 400 500M(WZ) [GeV]
0
0.1
0.2
0.3
0.4
fb/(
5 G
eV)
0 100 200 300 400 500M(WW) [GeV]
0
0.05
0.1
0.15
0.2
0.25
fb/(
5 G
eV)
ps = 500 GeV and v� = 30 GeV
mH5 = 200 GeV (black) and 300 GeV (red)
SUMMARY
• With SU(2)L×SU(2)R-symmetric Higgs potential and vacuum alignment, GM model preserves custodial symmetry, allows a large vΔ, and possibly has hVV couplings stronger than SM’s.
• There is an [approximate] mass degeneracy in each of the 3-plet, and 5-plet Higgs representations.
• For large vΔ, VBF processes are useful for searching for exotic GM Higgs bosons, verifying their mass spectrum, and extracting hVV couplings.
• Latest LHC data are employed to put constraints on the parameter space (vΔ vs mH5 or α).
• Synergy between searches of H5± and H50 at ILC and H5±± at LHC will make the 5-plet study more comprehensive.