fingerprinting of the higgs boson couplings as a probe of new physics models the 11 th lhc physics...
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![Page 1: Fingerprinting of the Higgs boson couplings as a probe of new physics models The 11 th LHC Physics Monthly Meeting, KIAS, Feb. 18, 2014 Kei Yagyu (National](https://reader034.vdocuments.mx/reader034/viewer/2022051618/56649ce05503460f949aa0ea/html5/thumbnails/1.jpg)
Fingerprinting of the Higgs boson couplings
as a probe of new physics models
The 11th LHC Physics Monthly Meeting,
KIAS, Feb. 18, 2014
Kei Yagyu (National Central U.)
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Congratulation!
이 상화
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Figure Skating (20th and 21st)
김 연아 浅田 真央
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126 GeV Higgs
Explained
Minimal (1 doublet)
EW data,Flavor, …
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Extended Higgs sectors
ExtraSingletsDoubletsTriplets…
126 GeV Higgs
Explained
Minimal (1 doublet)
EW data,Flavor, …
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126 GeV Higgs
Introduce
Extended Higgs sectors
ExtraSingletsDoubletsTriplets…
Minimal (1 doublet)
Beyond the SM
Neutrino mass, Dark matter and Baryon asymmetry
Explained
EW data,Flavor, …
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126 GeV Higgs
Determine
Higgs prop.
Determine
Extended Higgs sectors
ExtraSingletsDoubletsTriplets…
Minimal (1 doublet)
Beyond the SM
Neutrino mass, Dark matter and Baryon asymmetry
EW data,Flavor, …
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126 GeV Higgs
Beyond the SM
Neutrino mass, Dark matter and Baryon asymmetry
Determine
Higgs prop.
Determine
Extended Higgs sectors
ExtraSingletsDoubletsTriplets…
Minimal (1 doublet)
Bott
om
up
Ap
pro
ach
!
EW data,Flavor, …
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126 GeVh
H++, H+, H, A, ...h
2. Indirect search1. Direct search
H++, H+, H, A, …
Discovery
Studying both ways is important to determine
the structure of the Higgs sector.
Bottom up Approach
126 GeV
Energy
Energy
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Measuring effects
on the 126 GeV Higgs boson
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126 GeVh
H++, H+, H, A, ...h
2. Indirect search1. Direct search
H++, H+, H, A, …
Discovery
Measuring effects
on the 126 GeV Higgs boson
Studying both ways is important to determine
the structure of the Higgs sector.
Bottom up Approach
126 GeV
Energy
Energy
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Indirect Search
Patterns of deviation in various Higgs couplings
strongly depend on the structure of the Higgs sector.
Indirect search = Precision test of Higgs couplings
hbb
hττ
hcc
hγγ
hVV
hhh
Make a “Fingerprint” from precise measurements.
Minimal
Singlet Models
2HDMs
Triplet Models
etc…
Compare
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Experiments Theory
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The hZZ coupling can be measured by 1 % accuracy
at the ILC(250) !
Higgs coupling measurementsILC, TDRILC, Higgs White Paper, arXiv: 1310.0763
(300/fb)
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The hVV and hff couplings can be measured by 1 % accuracy
at the ILC(500) !!
Higgs coupling measurements
(300/fb)
ILC, TDRILC, Higgs White Paper, arXiv: 1310.0763
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The hVV and hff couplings can be measured by 1 % accuracy
at the ILC(500) !!
Higgs coupling measurements
(300/fb)
ILC, TDRILC, Higgs White Paper, arXiv: 1310.0763
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Contents
Introduction
- Bottom up approach (Indirect search)
Deviations in the Higgs boson couplings in various Higgs sectors
- The hVV and hff couplings at the tree level
Higgs boson couplings in the 2HDMs
- Tree level
- One-loop level
Summery
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1. Electroweak rho parameter
Basic Constraints
There are two guidelines to restrict Higgs sectors.
ρexp = 1.0004 -0.0004
+0.0003
Models with ρtree = 1 seems to be a natural choice. T Y
1 0
1/2 1/2
3 2
… …Alignment of (exotic) VEVs Ex. Model with doublet (Y=1/2) + triplet (Y=1) + triplet (Y=0)
(Georgi-Machacek model)
Satisfy the relation
if 17
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2. Flavor Changing Neutral Current (FCNC)
Tree level FCNC process should be absent.
In general, multi-doublet extensions cause FCNC at the tree level
Basic Constraints
There are two guidelines to restrict Higgs sectors.
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B0 Φ0
B0
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B0 Φ0
B0
2. Flavor Changing Neutral Current (FCNC)
Tree level FCNC process should be absent.
In general, multi-doublet extensions cause FCNC at the tree level
Basic Constraints
Only one Higgs doublet couples
to each fermion.
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There are two guidelines to restrict Higgs sectors.
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Simple Extended Higgs Sectors
We consider the following simple Higgs sectors;
(with ρtree = 1 and no tree level FCNC)
1. Φ + S (Singlet)
2. Φ + D (Doublet)
3. Φ + Δ (Triplets or larger) [GM model, Septet model]
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Hisano, Tsumura, PRD87 (2013)
Kanemura, Kikuchi, KY, PRD88 (2013)
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Two mixing angles
Mixing between CP-even states
VEVs
where
T: isospin, Y:hypercharge
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Yukawa
Gauge
Deviations in hff and hVV
Φ
f
f
φα
Yf = mf /<Φ> <φ> β
ΦV
V<Φ>
φ
V
V
<φ>
α
β
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Yukawa
Gauge
Higgs Singlet Model (φ=S)
Φ
f
f
Sα
Yf = mf /<Φ> <S>
ΦV
V<Φ>
S
V
V
<S>
α
★ The singlet VEV
does not contribute
to the EWSB.
→ β=0 (<Φ>=246 GeV)
★ The hff and hVV
couplings are
universally
suppressed.
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Yukawa
Gauge
Two Higgs Doublet Model (φ=D)
Φ (D)
f
f
D (Φ)α
Yf = mf /<Φ (D)> <D (Φ)>
ΦV
V<Φ>
D
V
V
<D>
α
β
β★ There are 2 patterns in κf
for each fermion f.
★ ξ = 1
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Yukawa
Gauge
Model with a triplet (or higher) (φ=Δ)
Φ
f
f
Δα
Yf = mf /<Φ> <Δ>
ΦV
V<Φ>
Δ
V
V
<Δ>
α
β
β
★ The hff couplings are
universally suppressed.
★ ξ factor can be larger
than unity.
→ κV > 1
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Ex.
GM model: ξ = 2*sqrt(6)/3
Septet model : ξ = 4
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SM
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SM
κF’
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SM
κF’
κF = κF’
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SM
κF’
κF = κF’
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Gauge vs Yukawa
-π/4 < α < +π/4
0.1 < tanβ < 100
Singlet Model
2HDM (Type-I)
Georgi-Machacek Model
[ξ = 2*Sqrt(6)/3]
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-π/4 < α < +π/4
0.1 < tanβ < 100
Tau vs Bottom
Singlet
2HDM (Type-I)
Georgi-Machacek Model
2HDM (Type-II)
2HDM (Type-X)
2HDM (Type-Y)
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Contents
Introduction
- Bottom up approach (Indirect search)
Deviations in the Higgs boson couplings in various Higgs sectors
- The hVV and hff couplings at the tree level
Higgs boson couplings in the 2HDMs
- Tree level
- One-loop level
Summery
32
S. Kanemura, M. Kikuchi, KY, appear in PLB,
arXiv: 1401.0515 [hep-ph]
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2HDMs
In general, Yukawa Lagrangian is given by
To avoid the tree level FCNC, one of the Yukawa couplings
should be forbidden.
Z2 symmetry (softly-broken) Glashow, Weinberg, PRD15 (1977)
Z2 symmetry (unbroken) Barbieri, Hall, Rychkov, PRD74 (2006)
S3 symmetry Kajiyama, Okada, KY, arXiv:1309.6234 [hep-ph]
U(1) symmetry Ko, Omura, Yu, JHEP1201 (2012)
…
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2HDMs with the softly-broken Z2 sym.
In general, Yukawa Lagrangian is given by
To avoid the tree level FCNC, one of the Yukawa couplings
should be forbidden.
Z2 symmetry (softly-broken) Glashow, Weinberg, PRD15 (1977)
Z2 symmetry (unbroken) Barbieri, Hall, Rychkov, PRD74 (2006)
S3 symmetry Kajiyama, Okada, KY, arXiv:1309.6234 [hep-ph]
U(1) symmetry Ko, Omura, Yu, JHEP1201 (2012)
…
There are four independent types of Yukawa interactions.34
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Barger, Hewett, Phillips (1990), Grossman (1994)
u
d
Φ 2
e
Φ 1
u
d
Φ 2
e
u
d
Φ 2
e
Φ 1
Type-I Type-II (MSSM)
ud
Φ 2
e
Φ 1
Type-X(Leptophilic)
Type-Y(Flipped)
Aoki, Kanemura, Tsumura, KY (2008)
Four Yukawa Interactions
Under the Z2 symmetry, two doublets are transformed as
Φ1 → +Φ1 and Φ2 → -Φ2.
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In the Higgs basis, two doublets can be parameterized as:
tanβ = <Φ2>/<Φ1>
Mass Eigenstates
NG bosons Charged Higgs
CP-even Higgs CP-odd Higgs
SM-like Higgs boson w/126 GeV36
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ξu ξd ξe
Type-I cotβ cotβ cotβ
Type-II cotβ -tanβ -tanβ
Type-X cotβ cotβ -tanβ
Type-Y cotβ -tanβ cotβ
Yukawa/Gauge Interaction
h
V
V
= (SM) × sin(β-α)
h
f
f
= (SM)
× [sin(β-α)+ξf cos(β-α)]37
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Higgs Potential
The Higgs potential under the softly-broken Z2 sym. and CP-invariance
Mass formulae with sin(β-α) ~1
We have 8 parameters in the potential. They can be interpreted by
v (=246 GeV), mh (=126 GeV),
mH, mA, mH+, sin(β-α), tanβ, and M2
mh2 ~ λv2, mΦ
2 ~ M2 + λv2
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SM-like/Decoupling Limit
SM-like limit: taking sin(β-α) → 1
All the Higgs boson couplings become the same value as
in the SM Higgs couplings at the tree level.
Decoupling limit: taking M2 (=mΦ2) → ∞
Decoupling limit can be taken
only when the SM-like limit is taken.
[mΦ2 ~ M2 + λv2]
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Decoupling/SM-like Limit
Exclu
ded
by u
nita
rity
(mH = mA = mH+= M =)
10% dev.
1% dev.
0.1% dev.
cos(β-α) > 0
cos(β-α) < 0
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δ =
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Decoupling/SM-like Limit
Exclu
ded
by u
nita
rity
κV =
sin
(β-α
) → 1
(mH = mA = mH+= M =)
10% dev.
1% dev.
0.1% dev.
cos(β-α) > 0
cos(β-α) < 0
δ =
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Decoupling/SM-like Limit
Exclu
ded
by u
nita
rity
(mH = mA = mH+= M =)
10% dev.
1% dev.
0.1% dev.
cos(β-α) > 0
cos(β-α) < 0
δ =
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Patterns of Deviation in hff Couplings
h
f
f
= (SM) × [sin(β-α) + ξf cos(β-α)]
(SM) × [sin(β-α) + cotβ cos(β-α)]
(SM) × [sin(β-α) - tanβ cos(β-α)]
(SM) ×
(SM) ×
=
~For cos(β-α) > 0
cos(β-α) < 0 δ ≪ 1
δ = 1 - sin(β-α)
If κV ≠ 1 is found, several patterns of deviation in hff appear.
u
d
cotβ
e
Type-I
u
d
cotβ
e
tanβ
Type-II
u
d
cotβ
e
tanβ
Type-X
u
d
cotβ
e
tanβ
Type-Y
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Patterns of Deviation in hff Couplings
h
f
f
= (SM) × [sin(β-α) + ξf cos(β-α)]
(SM) × [sin(β-α) + cotβ cos(β-α)]
(SM) × [sin(β-α) - tanβ cos(β-α)]
(SM) ×
(SM) ×
=
~For cos(β-α) > 0
cos(β-α) < 0 δ ≪ 1
δ = 1 - sin(β-α)
If κV ≠ 1 is found, several patterns of deviation in hff appear.
u
d
cotβ
e
Type-I
u
d
cotβ
e
tanβ
Type-II
u
d
cotβ
e
tanβ
Type-X
u
d
cotβ
e
tanβ
Type-Y
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Bottom vs Tau
κV2 = 0.99, 0.95,
(δ ~ 0.005, 0.02)
cos(β-α) < 0
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• How these predictions can be modified by taking
into account radiative corrections?
• The hff and hVV couplings can be measured with
O(1)% accuracy.
• In order to compare precision measurements, to
include radiative corrections are essentially
important!
Radiative Corrections
1-loop level
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Radiative Corrections in the 2HDMs
There are papers for 1-loop corrections to
the Higgs boson couplings in 2HDMs.
Hollik, Penaranda, Eur. Phys. J. C23 (2002) [in the MSSM Higgs sector]
Kanemura, Kiyoura, Okada, Senaha, Yuan PLB558, (2003);
Kanemura, Okada, Senaha, Yuan, PRD70 (2004).
hhh
hVV Kanemura, Okada, Senaha, Yuan, PRD70 (2004).
hff Guasch, Hollik, Penaranda, PLB515 (2001) [in the MSSM Higgs sector]
We discuss 1-loop corrections to the hff
couplings
in the four types of the 2HDM. 47
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Decoupling/Nondecoupling
NP loop effects to the low energy obs. vanish when new particles are heavy.
Appelquist, Carazzone (1975)Decoupling theorem
1/Mn → 0 (M → ∞)
Violation of the decoupling theorem
SM
NP+SMM → ∞
SM
SM SM
SM
SM
SM
Top mass : mt = ytv
Scalar boson mass : mφ2 = λv2 + M2
(with λv2 > M2 )
If a particle mass is (mostly) given by the Higgs VEV,
the particle loop effect does not vanish even in rather large mass case.
E.g.,
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The hhh coupling @1-loop in the 2HDM
Φ = H, A, H±
Kanemura, Kiyoura, Okada, Senaha, Yuan PLB558 (2003)
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The hhh coupling @1-loop in the 2HDM
Φ = H, A, H±
In the case with M2 >> λv2,
we can see the decoupling
behavior.
Kanemura, Kiyoura, Okada, Senaha, Yuan PLB558 (2003)
0
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The hhh coupling @1-loop in the 2HDM
Φ = H, A, H±
Kanemura, Kiyoura, Okada, Senaha, Yuan PLB558 (2003)
~1
In the case with M2 < λv2,
nondecoupling effects
(quartic power of the
masses)
appear.
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Renormalized hff vertices
Renormalized hff vertex
Renormalized scale factor at on-shell
The counter term contribution
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Parameter Shifts
Fermion masses and wave functions
CP-even Higgs sector and mixing angle β
The VEV
Kanemura, Okada, Senaha, Yuan, PRD70 (2004).
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On-shell Renormalization Conditions
= 0h H
p2=mh2
h Hp2=mH2
= h h p2 =mh2
= 0
f f p2=mf2
= 0f f p2=mf2
= 0
G0 A p2=mZ2
= G0 A p2=mA2
= 0
δβ (and δCA)
δZh, δα and δCh
δmf and δZVf
The counter term δv
is determined from the
EW on-shell RCs.Hollik, Fortsch. Phys. 38, 165 (1990).
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Decoupling [sin(β-α)=1, mH+=mA=mH (=mΦ) and mΦ
2-M2 = (300 GeV)2]
SM
Shinya Kanemura, Mariko Kikuchi and KY, arXiv: 1401.0515
55
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Nondecoupling
[sin(β-α)=1, mH+=mA=mH (=mΦ) and M2 = 0]
Shinya Kanemura, Mariko Kikuchi and KY, arXiv: 1401.0515
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Nondecoupling
[sin(β-α)=1, mH+=mA=mH (=mΦ) and M2 = 0]
Shinya Kanemura, Mariko Kikuchi and KY, arXiv: 1401.0515
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Fingerprinting at the tree level
cos(β-α) < 0,
tanβ = 1, 2, 3 and 4,
Shinya Kanemura, Mariko Kikuchi and KY, arXiv: 1401.0515
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Fingerprinting at the 1-loop level
cos(β-α) < 0,
tanβ = 1, 2, 3 and 4,
mH+ = mA = mH (=mΦ),
100 GeV < mΦ < 1 TeV,
0 < M < mΦ,
Unitarity + Vacuum
stab.
Shinya Kanemura, Mariko Kikuchi and KY, arXiv: 1401.0515
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Fingerprinting at the 1-loop level
cos(β-α) < 0,
tanβ: Scanned
mH+ = mA = mH (=mΦ),
100 GeV < mΦ < 1 TeV,
0 < M < mΦ,
Unitarity + Vacuum
stab.
Shinya Kanemura, Mariko Kikuchi and KY, arXiv: 1401.0515
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Fingerprinting at the 1-loop level
cos(β-α) < 0,
tanβ: Scanned
mH+ = mA = mH (=mΦ),
100 GeV < mΦ < 1 TeV,
0 < M < mΦ,
Unitarity + Vacuum
stab.
Shinya Kanemura, Mariko Kikuchi and KY, arXiv: 1401.0515
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One-loop corrected hZZ coupling
Even taking the maximal nondecoupling case (M2=0),
the amount of correction is less than 1%.
1 - sin2(β - α)
Kanemura, Okada, Senaha, Yuan, PRD70 (2004).
Tanβ = 2,mΦ = 300 GeV
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Indirect Search = Comparing fingerprints of the Higgs couplings.
Typical patterns of deviations in extended Higgs sectors at tree level
Points: CP-even Higgs mixing and VEV sharing
1. Higgs singlet model → κf and κV are universally suppressed.
2. Two Higgs doublet models → 4 patterns in κf’s.
3. Triplet models → κf are universally suppressed and κV can be larger than 1.
Radiative corrections to the Higgs boson couplings
Points: (Non)decoupling property of extra Higgs bosons
1-loop corrections from extra Higgs bosons to the hhh, hff and hVV couplings
can be maximally O(100)%, O(10)% and O(1)%, respectively.
If 1% deviation in the hZZ couplings is found at the ILC(250),
we can discriminate the four types of 2HDM by precisely measured
hff couplings at ILC(250) or ILC(500).
Summary
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Vacuum stability + Unitarity
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Unitarity bound for the Singlet Model
Kang, Park, arXiv:1306.6713 [Singlet]
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Gauge vs Yukawa
-π/4 < α < +π/4
0.1 < tanβ < 100
Singlet Model
2HDM (Type-I)
Georgi-Machacek Model
[ξ = 2*Sqrt(6)/3]
Unitarity const.
w/ 300 GeV.
Kang, Park, arXiv:1306.6713 [Singlet]
Kanemura, Okada, Senaha, Yuan,
PRD70 (2004) [2HDM]
Aoki, Kanemura, PRD77 (2008) [GM]
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Gauge vs Yukawa
-π/4 < α < +π/4
0.1 < tanβ < 100
Singlet Model
2HDM (Type-I)
Georgi-Machacek Model
[ξ = 2*Sqrt(6)/3]
Unitarity const.
w/ 500 GeV.
Kang, Park, arXiv:1306.6713 [Singlet]
Kanemura, Okada, Senaha, Yuan,
PRD70 (2004) [2HDM]
Aoki, Kanemura, PRD77 (2008) [GM]
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Top Yukawa
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Tanβ dependence
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τ vs b
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b vs c
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τ vs c
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IPI diagram Counter term Counter termIPI diagram2-pointfunction
3-pointfunction= =
++
Parameters shift: g → g + δg, g’ → g’ + δg’, v → v + δv,
Wμ → ZW1/2 Wμ , Bμ → ZB
1/2 Bμ
On-shell Renormalization Scheme
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LHC: 14 TeV, 300 fb-1
ILC1: 250 GeV, 250 fb-1
ILC: 500 GeV, 500 fb-1
ILCTeV: 1 TeV, 1000 fb-1
Higgs coupling measurementsPeskin, 1207.2516[hep-ph]
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Signal Significance @125 GeV
ATLAS CMS
γγ 7.4σ (4.3σ) [CONF-2013-012]
3.2σ (4.2σ)[PAS-HIG-13-1]
ZZ*→4l
6.6σ (4.4σ)[CONF-2013-013]
6.7σ (7.1σ)[PAS-HIG-13-2]
WW*→lvlv
3.8σ (3.8σ)[CONF-2013-030]
4.0σ (5.1σ)[PAS-HIG-13-3]
bb No excess1.4 (1.3)×SM exc.[CONF-2013-079]
2.1σ ( 2.2σ)[PAS-HIG-13-012]
τ τ 4.1σ (3.2σ)[CONF-2012-160]
2.9σ (2.6σ)[PAS-HIG-13-004]
Spin 1 is excluded
Higgs mechanism
Yukawa?
Obs. (Exp.) 7+8TeV, ~25/fb
There is no room for doubt that it is a Higgs boson.76
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Gauge vs Yukawa
Singlet Model
2HDM (Type-I)
Georgi-Machacek Model
[ξ = 2*Sqrt(6)/3]For details, see Prof. Chiang’s talk
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Fingerprinting (Gauge vs Fermion)
-π/4 < α < +π/4
Singlet Model
2HDM
Georgi-Machacek Model
[ξ = 2*Sqrt(6)/3]
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Fingerprinting (Gauge vs Fermion)
-π/4 < α < +π/4
0.1 < tanβ < 100
Singlet Model
2HDM
Georgi-Machacek Model
[ξ = 2*Sqrt(6)/3]
79