distinct signals of the gauge-higgs unification in …journal/jc2017_slides/...細谷 裕 yutaka...
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![Page 1: Distinct signals of the gauge-Higgs unification in …journal/jc2017_slides/...細谷 裕 Yutaka Hosotani Journal Club, 素粒子論研究室, 31 May 2017arXiv:1705.05282 S. Funatsu,](https://reader036.vdocuments.site/reader036/viewer/2022070703/5e7a22843eb6d47b1d233593/html5/thumbnails/1.jpg)
細谷 裕 Yutaka Hosotani
Journal Club, 素粒子論研究室, 31 May 2017
arXiv:1705.05282S. Funatsu, H. Hatanaka, YH, Y. Orikasa
Distinct signals of the gauge-Higgs unification
in collider experimentse+e�
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2
Mature and ready for tests.
Theory must make predictions& must be confirmed by experiments.
Gauge-Higgs EW unification
What are distinct signals of GHU ?
in the past (at low energies)LHC, ILC, …
Experiments
![Page 3: Distinct signals of the gauge-Higgs unification in …journal/jc2017_slides/...細谷 裕 Yutaka Hosotani Journal Club, 素粒子論研究室, 31 May 2017arXiv:1705.05282 S. Funatsu,](https://reader036.vdocuments.site/reader036/viewer/2022070703/5e7a22843eb6d47b1d233593/html5/thumbnails/3.jpg)
Gauge-Higgs unification
� , W , Z
�AyAµ
AM
�Aharonov-Bohm phase
✓H
Higgs
3
Finite Higgs massgenerated.
Gauge-hierarchy problemis solved.
Hosotani mechanism
DynamicalEW sym breaking
![Page 4: Distinct signals of the gauge-Higgs unification in …journal/jc2017_slides/...細谷 裕 Yutaka Hosotani Journal Club, 素粒子論研究室, 31 May 2017arXiv:1705.05282 S. Funatsu,](https://reader036.vdocuments.site/reader036/viewer/2022070703/5e7a22843eb6d47b1d233593/html5/thumbnails/4.jpg)
UV brane IR brane
AdS � = �6 k2
SO(5) � U(1)
ds
2 = e
�2k|y|dx
µdxµ + dy
2
SO(5)xU(1) GHU in Randall-Sundrum
✓Aµ
Ay
◆(x, yj � y) = Pj
✓Aµ
�Ay
◆(x, yj + y)P †
j
(y0, y1) = (0, L)
4
Agashe, Contino, Pomarol 2005YH, Sakamura 2006
YH, Oda, Ohnuma, Sakamura 2008Funatsu, Hatanaka, YH, Orikasa, Shimotani 2013
Medina, Shah, Wagner 2007
![Page 5: Distinct signals of the gauge-Higgs unification in …journal/jc2017_slides/...細谷 裕 Yutaka Hosotani Journal Club, 素粒子論研究室, 31 May 2017arXiv:1705.05282 S. Funatsu,](https://reader036.vdocuments.site/reader036/viewer/2022070703/5e7a22843eb6d47b1d233593/html5/thumbnails/5.jpg)
SO(5) ⇥ SO(4) ⇤ SU(2)L � SU(2)R
4D gauge bosons and Higgs
P0 = P1 =
�
�����
�1�1
�1�1
+1
�
�����
5
Aµ �
�
⇧⇧⇤
⇥
⌃⌃⌅W Z �
Ay �
�
�����
�
�����
Higgs
ei✓H(x) ⇠ P exp
n
ig
Z
dy Ay
o
![Page 6: Distinct signals of the gauge-Higgs unification in …journal/jc2017_slides/...細谷 裕 Yutaka Hosotani Journal Club, 素粒子論研究室, 31 May 2017arXiv:1705.05282 S. Funatsu,](https://reader036.vdocuments.site/reader036/viewer/2022070703/5e7a22843eb6d47b1d233593/html5/thumbnails/6.jpg)
Nearly the same as SM at low energies
6
Predictions for LHC/ILC
gauge couplings of quarks/leptons~ SM(✓H = 0.115)
W to ` ⌫ , ud , cs
gGHU/gSM
1.00019t b 0.9993
WWZ 0.9999998
Higgs couplings to W, Z, quarks/leptons ~ (SM) ⇥ cos ✓H
cos ✓H ⇠ 0.995 for ✓H = 0.1
![Page 7: Distinct signals of the gauge-Higgs unification in …journal/jc2017_slides/...細谷 裕 Yutaka Hosotani Journal Club, 素粒子論研究室, 31 May 2017arXiv:1705.05282 S. Funatsu,](https://reader036.vdocuments.site/reader036/viewer/2022070703/5e7a22843eb6d47b1d233593/html5/thumbnails/7.jpg)
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What to look at ?
Higgs self-couplings
Deviations from SM
Extra dims KK excitations
Produce new KK particles
Interference effects due to KK particles
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mKK(✓H), mZ(1)(✓H), �H3 (✓H), �H
4 (✓H)
Universality
8
deviation from SM
✓H
SM!!
!!
""
"
"
## # # ##
##
#
$$$ $ $$
$$
$
0.0 0.5 1.0 1.5"5
0
5
10
15
20
25
30
ΘH
Λ 3!GeV
"
$ nF%9# nF%3" nF%1! nF%0! SM
0.1
�Higgs3
0.0 0.5 1.0 1.5
2000
4000
6000
8000
10000
ΘH
mZ!1"#Ge
V$
nf"0
!!!!"""
""
"
"
"
"
####
#
#
#
#
#
0.0 0.5 1.0 1.5
2000
4000
6000
8000
10000
ΘH
mZ!1"#Ge
V$
# nF"6" nF"3! nF"1
nF"0
mZ(1)
✓H
GHU is restrictive.
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Z(1)R , Z(1), �(1)
q
q
e� µ�
e+ µ+
Z0
9
ATLAS-CONF-2017-027(9 April 2017)
ps = 13TeV, 36.1 fb�1
no event for > 3000 GeV
✓H < 0.1
Z0 ! e+e�
SM
10�5
✓H = 0.115
✓H = 0.0737
14 TeV LHC
6TeV
SM
10�5
W 0 ! t b
W 0 ! µ ⌫
✓H = 0.115
6TeV
LHC
![Page 10: Distinct signals of the gauge-Higgs unification in …journal/jc2017_slides/...細谷 裕 Yutaka Hosotani Journal Club, 素粒子論研究室, 31 May 2017arXiv:1705.05282 S. Funatsu,](https://reader036.vdocuments.site/reader036/viewer/2022070703/5e7a22843eb6d47b1d233593/html5/thumbnails/10.jpg)
10
ILC ( linear collider )e+e�
Z(1)R , Z(1), �(1)
e� µ�
e+ µ+e+e� Z , �
e+e� u d c s b
u d c s b
Precision measurements at LEP1 & LEP2 ( ~207GeV )
Energies at 250 GeV, 500 GeV, 1 TeV
Polarized electron/positron beams
In GHU, right-handed quarks/leptons
have large couplings to Z’.
![Page 11: Distinct signals of the gauge-Higgs unification in …journal/jc2017_slides/...細谷 裕 Yutaka Hosotani Journal Club, 素粒子論研究室, 31 May 2017arXiv:1705.05282 S. Funatsu,](https://reader036.vdocuments.site/reader036/viewer/2022070703/5e7a22843eb6d47b1d233593/html5/thumbnails/11.jpg)
511
Couplings to Z’
f gLZf gRZf gLZ(1)f
gRZ(1)f
gLZ
(1)R f
gRZ
(1)R f
gLγ(1)f
gRγ(1)f
νe 0.5703 0 −0.2225 0 0 0 0 0νµ 0.5703 0 −0.2225 0 0 0 0 0ντ 0.5703 0 −0.2224 0 0 0 0 0e −0.3065 0.2638 0.1196 0.9981 0 −1.3762 0.1880 −1.8165µ −0.3065 0.2638 0.1196 0.9369 0 −1.3029 0.1880 −1.7051τ −0.3065 0.2638 0.1195 0.8847 0 −1.2401 0.1879 −1.6102u 0.3945 −0.1759 −0.1539 −0.6536 0 0.9034 −0.1253 1.1896c 0.3945 −0.1759 −0.1539 −0.6041 0 0.8439 −0.1253 1.0994t 0.3938 −0.1766 0.6888 −0.3431 1.3208 0.5253 0.5616 0.6258d −0.4824 0.08795 0.1882 0.3268 0 −0.4517 0.1303 −1.2369s −0.4824 0.08794 0.1882 0.3021 0 −0.4220 0.1303 −1.1431b −0.4825 0.08794 −0.8470 0.1720 1.3189 −0.2625 −0.5840 −0.6506
1
Z0Z
in unit of gw (✓H = 0.115)
Wave functions of fR, Z0 : localized near IR brane
fL : localized near UV branelarge
small
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12
e+e� ! ff
AFB =�forward
� �backward
�forward
+ �backward
�(ff)
ps , polarization Pe±
�(Pe� , Pe+) = (1 � Pe�Pe+)�(Pe↵ , 0)
Pe↵ =Pe� � Pe+
1 � Pe�Pe+
= 0.946 for (Pe� , Pe+) = (0.8,�0.6)
Interference becomes visible.
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13
LEP2
130GeV <ps < 207GeV
�exp
�SM
(qq) = 1.0092 ± 0.0076
✓H : 0.115 0.0737
0.9868 0.9944 atps = 207GeV
�GHU
�SM(qq)
0.9972 0.9987 atps = 130GeV
✓H < 0.1
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100 500 1000
0.2
0.4
0.6
0.8
1.0
1.2
1.4
s [GeV]
σ GHU/σSM
(qq)
a
b
c
d
�GHU
�SM
(qq) 0.115
0.0737
Pe↵ = 0.946
Pe↵ = 0
-1.0 -0.5 0.0 0.5 1.0
0.70
0.75
0.80
0.85
0.90
0.95
1.00
Peff
σGHU/σSM
(qq)
�GHU
�SM
(qq)
0.115
0.0737
=Pe� � Pe+
1 � Pe�Pe+
250GeV
500GeV
ILC�GHU
�SM(qq)
q = u, d, s, c, b
Measurable
deviations
even at 250GeV
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100 200 500 1000 2000-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
0.8
s [GeV]
AFB(μ
+ μ- )
a
b
c
de
f
AFB(µ+µ�)
0.115
0.0737
SM
Pe↵ = 0.946
15
-1.0 -0.5 0.0 0.5 1.0
-0.20
-0.15
-0.10
-0.05
0.00
Peff
(AFBGHU-A
FBSM)/A
FBSM(μ
+ μ- )
AGHUFB
ASMFB
(µ+µ�) � 1
0.0737
0.115
250GeV
500GeV
ILC
AFB(µ+µ�)
Distinct
deviations
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16
ILC Rµ =�(qq)
�(µ+µ�)
-1.0 -0.5 0.0 0.5 1.00.90
0.92
0.94
0.96
0.98
1.00
1.02
1.04
Peff
RμGHU/R
μSM
RGHUµ
RSMµ
0.0737
0.115250GeV
500GeV
Distinct deviations
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Summary
Distinct signals of the gauge-Higgs unification
in collider experimentse+e�
17
can be seen