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�

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

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

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

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

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

7

What to look at ?

Higgs self-couplings

Deviations from SM

Extra dims　　KK excitations

Produce new KK particles

Interference effects due to KK particles

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.

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

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’.

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

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.

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

14

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

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

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

Summary

Distinct signals of the gauge-Higgs unification

in collider experimentse+e�

17

can be seen