Unification and
Gauge Symmetry Breaking— from Einstein to Nambu, and future —Yutaka HosotaniInternational Symposium in Honor of Professor Nambu
for the 10th Anniversary of his Nobel Prize in Physics
Osaka City University, 12-13 December 2018

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Nb<latexit sha1_base64="Iuk7lVQEgB4buzzNkjPleXQPeo8=">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</latexit>

B<latexit sha1_base64="oqddZ/WerjGID+f0z/NdXLlu9wo=">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</latexit><latexit

A.Tonomura (外村彰）「目で見る美しい量子力学」より✓AB =<latexit sha1_base64="v1z6uNe8uuGXoyv/NBZtDZ5nraY=">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</latexit>

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· 2⇡n
⇤

<latexit sha1_base64="qayBjkpomEN0Q6pzbnjL5gux5is=">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</latexit>

2⇡~c
e⇤

·n

e⇤ = 2e<latexit sha1_base64="eMABQy6hqoVHYRgcbq/bsJaMFS8=">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</latexit>=⇡<latexit sha1_base64="cr9aQF+Nhq/MegwV9y2/uPMkMl8=">AAAE3XicfVRNb9QwEHXbBcry1cIRCVmkSByqVbLA7vYAqsSFY5Hoh1SvKseZ7Fp14mA7bVMre4Ib4spPQOIKf4Z/g7ObVCktWEo0896b8cSeSZgJro3v/15aXuncuHlr9Xb3zt179x+srT/c0zJXDHaZFFIdhFSD4CnsGm4EHGQKaBIK2A+P31b8/gkozWX6wRQZjBM6SXnMGTUOOlp78hpjTDKOycecRtiSMMaxVDMso2hWOoHn93zfD4IAV0YwHPjO2Noa9YMRDirKLQ/Va+dofeU7iSTLE0gNE1Trw8DPzNhSZTgTUHZJriGj7JhO4NCZKU1Aj+38Q0r8zCFRtb97UoPnaDvC0kTrIgmdMqFmqv/mKvA67jA38WhseZrlBlK22CjOBTYSV6eCI66AGVE4gzLFXa2YTamizLiz63ZJBDEJNT8HSyKuM0ELbQoBmGijcoPLhSIpQj75v+KqoGaiyJKsOiUqakRQSxTlGnrBAM7INJRndsOh6UTARkmEPAXVokrcpFIucBNfE6v+HVuHTqTbk0+mhiolT2swhTNj7Ww223RPWYMyhSkVscV1chsQ6RoN98uNi2xOY6ZcRVdEL1oiyLStXlzI9AK6gsSxdZUl2BlNBSeFJSfAcNH45wv/vOw21xG7G/QCr+9i53eDvbqAxu2XjXiiAFIvcMp519m5X3pBs1socmjRldti3VS5hqctQY20NAqiFu+8S9ldo15K7/wWzwraLq5yW2wBwt1oi18AC0WXVONQ/wNsKEVUYWHsRruZ3/lEDwejoTNGrwZ+f3Ax2nv9XuD3gvcvve039ZCvosfoKXqOAjRE2+gd2k
sha1_base64="cr9aQF+Nhq/MegwV9y2/uPMkMl8=">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</latexit>
sha1_base64="5+TaRz/SYLb+DDDWf5gbEyJTvTw=">AAAEr3icfVTNbtQwEHbpAiUUaM9cLFIkDtUqWSTghJC4cCwS/ZHqVeU4k6xVJ45sp21qpQ/AlYfgmXgbJrtJlXYLlhzNfN8344ntcVIpaV0U/dl4tDl5/OTp1rPg+Xbw4uWrne0jq2sj4FBopc1Jwi0oWcKhk07BSWWAF4mC4+T8a8cfX4CxUpc/XFPBvOB5KTMpuEPo4GwnjKbRctB1I+6NkPTjbHfzN0u1qAsonVDc2tM4qtzcc+OkUNAGrLZQcXHOczhFs+QF2Llf1tnSt4ikNNMGZ+noEh1HeF5Y2xQJKgvuFvY+14EPcae1yz7NvSyr2kEpVgtltaJO0+6naSoNCKcaNLgwEmulYsENFw63JghYChlLrLwGz1JpK8Ub6xoFlFlnakfblaJoEpn/X7Eu6Jk09azqdomrHlHcM8OlhWn8Aa7YItFXfg/RMlew1zKlL8GMqJYOqQwG7tMHYs2/Y/vQXOOaMl84boy+7MESrpz3Nzc3+zjbHtQlLLjKPO2T+5hpvEd01u7dZkONW0iTronej0RQWd99pNLlLbSGZJnHygqKxlDBRePZBQjaDP71yr9ug+E4MjzBMA5nGLs8Gxr2BQzurB3EuQEowxiVy1vnl34bxsNqiaphRHfuiMWmwQvPR4IeGWkMpCMevTvZ8aLeSY/+iBcNHxfXuSO2AYUnOuJXwEoRsK4d+hb3iVZphyUZdnZ8v4/XjaPZNI6m8feIbJHX5A15R2LykXwh38gBOSSCpOQn+TX5PEkn56sX4NFG/xTskjtjUvwFEISZ0A==</latexit>
sha1_base64="B1m4+X3PPp2d5dlsUX+P6ZGh+qg=">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</latexit>
sha1_base64="RvqY/M414bql3zFj3SiCnLxIRk8=">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</latexit>
sha1_base64="tuwzv2vrLYX7jwF0VAgOpldPLBg=">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</latexit>
sha1_base64="rg4E5ZdblFsvHeJJEBt5OrVUzog=">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</latexit>

for odd n

d
e
m
r
fi
n
o
c
t
c
e
f
f
AB e

6

e
e

on S 1
y

e

B=0

R

B=0
y ⇠ y + 2⇡R

⇢

exp i

e
~c

Z 2⇡R

dyAy

= ei✓AB

0

✓AB
& ---

(

7

y
R

,

)

2

) 0,

Ay = const , FM N = 0

W = P eig

H

Ay dy

) ( &.

(

{e

6/ I

,e

M ⇥S
4

-)

i✓2

i✓3

,e

1

X

} ( ✓j = 0)

✓1 = ✓2 = ✓3
SU (3)✓1 = ✓2 6= ✓3 SU (2) ⇥ U (1)✓j 6= ✓k
U (1) ⇥ U (1)

& &

)

i✓1

4

(

&

8

Ve↵ (✓H )✓H = { ✓j }AM (x, y) =

1
X

11

2

12

) 3 )

(n)

AM (x) einy/Rn2mA(jk)(n):n =µ1 loopVe↵(✓H ) =

XXZ
n

1 ⇣

R2

n+

✓j
2⇡

d3 p
(2⇡)

(±)
3

✓ k ⌘21p
2p~ 2 + mn (✓H )2, -, 10✓H -dependent part :9

SU(3) Ve↵ (✓1 , ✓2 )1 loopD=5m=0Ve↵ (✓1 , ✓2 )

✓1

m=0

✓2

(Nad , Nfund ) = (0, 0)(Nad , Nfund ) = (0, 1)(Nad , Nfund ) = (1, 0)

SU (3)SU (3)

U (1) ⇥ U (1)

D = 4 (Nad , Nfund ) = (1, 0)
m=0⇡Rm = 0.9

⇡Rm = 2

U (1) ⇥ U (1)SU (2) ⇥ U (1)SU (3)

10(nonperturbative simulation

Polyakov loophP i =<latexit sha1_base64="YGC9xJVH6pc8Ehl1fm+9AiRFQWM=">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</latexit>⇠<latexit sha1_base64="6BB+k5TLrD8Yaf9UBZQU0nM6CjA=">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</latexit>

Z

Z<latexit sha1_base64="U/tEw/cqT756N6w8Tmj9J1TQ9wU=">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</latexit><latexit[DU ][D ¯][D ] P e

SEd✓1 d✓2 ⇢Haar (✓1 , ✓2 ) · ⇢(✓1 , ✓2 )normalized P̃

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11Normalized density:
X (confined) β = 5.30

A (deconfined) β = 5.46

1

C (reconfined) β = 6.50

B (split) β = 5.95

1

1

1

= 6.50

0.5

0.5

0.5

0

0

0

θ2/π

= 5.95θ2/π= 5.46
θ2/π= 5.30

−0.5

−0.5

−0.5

−0.5

0.5

θ2/π

✓2
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normalized

0

⇡
−1
−1

conﬁned✓1 /⇡uniform

−0.5

0
θ1/π

0.5

1

−1
−1

0
θ1/π

0.5

1

−1
−1

A1

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SU (3)
0.6

deconﬁned
−0.5

0.499

−0.5

split
0
θ1/π

B2

SU (3)
0.45

0.5

1

SU (2) ⇥ U (1)−1−1reconﬁned
−0.5

0
θ1/π

0.5

1

C

U (1) ⇥ U (1)B

A

Strong indication of
0.421

mR

Hosotani mechanismon the latticeVe↵ (✓1 , ✓2 )Cossu, Noaki, Hatanaka, YH, 1309.4198

0.

C

12

Hosotani mechanism（1983）
Non-Abelian gauge theory in M 4 ⇥ S 1 , M 4 ⇥ (S 1 /Z2 ), RS, · · ·
-

0

✓H

Ve↵ (✓H ) : finite✓H 6= 0 )()2 12 1 , 0 , ✓H
(

0

mH
1 777
& )

&

)
1

Gauge-Higgs unification
13

Gauge-Higgs unification

AM

Aµ

Ay

, W , Z

Higgs
Aharonov-Bohm phase✓H
Hosotani mechanism

Electroweak sym breaking

14

Standard Model

Gauge-Higgs Unification

Lgauge+

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Lkin
Higgs

5d
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pot
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◆

Aµ
(x, yjAyy) = Pj

✓

Aµ
Ay

◆

(x, yj + y)Pj†(y0 , y1 ) = (0, L)

16

UV brane

IR brane

AdS
SO(5) ⇥ U (1)X ⇥ SU (3)C<latexit sha1_base64="XYylCgGhoEue6FkUJ5s+pAu6wCY=">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</latexit>

Brane scalar
Brane fermion

gauge fields
quarks/leptons
vector rep

5

dark fermionsspinor rep

4

17

SO(5)xU(1)xSU(3) in RS

P0 =<latexit sha1_base64="AsjV9m4KNCTUCpw9yMFBOIuDfTk=">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</latexit>

✓

I4
1

Aµ

◆

P1 =

SO(4) ⇥ U (1)X ⇥ SU (3)C<latexit sha1_base64="S21SIZUiQyFQKxp/GUNbd1BH4fw=">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</latexit>

⇧ W Z
⇧
⇤

Brane scalar✓H 6= 0<latexit sha1_base64="cd/kDRJS/r0ocexQGEGbkSExofI=">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</latexit>

⇥
⌃
⌃
⌅

e

I4
1

◆

Higgs

Ay
ˆH (x)i✓<latexit sha1_base64="YtVJsempkbi1mM0ulveczfoD+WE=">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</latexit>✓n⇠ P exp ig

Z

dy Ay

o

SU (2)L ⇥ U (1)Y ⇥ SU (3)C<latexit sha1_base64="v/2HIn55Pl3YpNJUQH3y0gM7xY0=">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</latexit>

U (1)EM ⇥ SU (3)C<latexit sha1_base64="mSbleTEnNQbORAbadZv16Ia4RMY=">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</latexit>

18

Table Gauge
1: ήʔδ݁߹ɿӈ୺ͷཝ͸ඪ४໛‫Ͱܕ‬ͷ஋Λࣔ͢ɻ
couplingsSMof
SM particles(νe , e)(νµ , µ)gLW /gw(ντ , τ )(u, d)(c, s)(t, b)
νe , ν µ , ν τe, µ, τ
Z
gL/R
/gw
u, c
t
d, s
b
gW W Z /gw cos θWθH = 0.115
θH = 0.0737
SM
1.00019
1.00009
1.00019
1.00009
1
2
⇣
⌘
3
sin
✓
1.00019
1.00009
HW
gLud⇠ gw 1 +1.00019
1.00009
16kL
1.00019
1.000091
0.99930.99950.5001400.50008
00.5
0-0.2688 0.2314 -0.2688 0.2313 -0.2688 0.2312
0.3459 -0.1543 0.3459 -0.1542 0.3458 -0.1541
0.3449 -0.1553 0.3453 -0.1549-0.4230 0.0771 -0.4230 0.0771 -0.4229 0.0771-0.4231 0.0771 -0.4230 0.0771
0.9999998
0.99999995
1<latexit sha1_base64="/XYxu2ysgeZV0IOXTGZdS+jfxlo=">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</latexit>
sha1_base64="dAol4kzLMAqN8Lb/qx39JfRbKr4=">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</latexit>
sha1_base64="faMSLsM1NAjM0FI86NnWyx1Ph+E=">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</latexit>

Funatsu, Hatanaka, YH, Orikasa, 1612.03378, 1705.05282

19

Higgs boson
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sha1_base64="+ZPRxhFnK/17NIILPEQEd8tY/cQ=">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</latexit>
sha1_base64="ABeLdAylQ1lcz30ZWylzMGlzlNs=">AAAIJXicpVU7b9NQFD6lQEp5tIUFiQGLtKiVqugmDUnLgCqxdOyDPqSmimznOrHq2JHjpiRW+gP4AwyIgUpQIUZ+AgsLGyB1YkaMRUJCDHz32mnj4NAKbMXn3nO+77xyH1rNMuseY4cD5wbPX7iYGLo0fPnK1Wsjo2PX1+rOjqvzVd2xHHdDU+vcMm2+6pmexTdqLlermsXXte2Hwr7e4G7ddOxHXrPGt6pq2TYNU1c9qIqjY2vFAjcMZbLgVbinFhemiqNJlpqbzWWyOYWlGMunM2kxyOSzM1klDY14kvMT+1O33/60F52xwT0qUIkc0mmHqsTJJg9ji1Sq492kNDGqQbdFPnQuRqa0c2rTMLg7QHEgVGi38S1jthlqbcyFz7pk64hi4eeCqdAE+8ResyP2nr1hX9mvvr586UPk0oTUAi6vFUee3Fz5cSqrCulR5YT115w9MmhW5moi95rUiCr0gN9oPT1aub884d9l++wb8n/BDtk7VGA3vusvl/jyM+m9BI4BqSGKSS2ZjdCamNdkZ5sYefiKLiqwiZkroylhVzs+qkBpYJb/y8dZPEQ5JbwCXzv+z1XgohjhQ2BcSFN2NIXVkoN8DG0FUR2MfBoPsTZyELHG4acgV8IuZm4fluh4b1ZuGHFaVnyWuO4/xY1GLcMS1Cm6WEE3RE9c6SeKtKU3D2if9uQ7Hcp2D9KR2IrsqgG08kfmhsxdxywNrk8ZfMdjsgs8iTVuglE6k6+ZPr7EnqjLWoORKbtlx6BOxxiyrqBvVUQKNL19aGD9+VJy5Kdg1mtvRewtae/dIZ36kqgviU75kZq7d5EiMe0YbSbMLfrPuxiJE0CwgmpOTjG/y94O/bZ7TgALO5L3YXes8dxqeC7Zcr3Fe4hi4v2IDEt9+IGtf+7B+dg/+8Aez9fRXbVv5zrWeG4T0gp3ajy/G9HtYzjsnNgPDbnLxQoV69OXO8KS9QY4jQzcl51LEdfkXA43ZhaD/Oy9XH7u+L5cy6TSLJVewsX5gIJniG7RHZpE3DzN0wIt0iry26Xn9IoOEgeJD4mPic8B9NxAyLlBkSfx5TfoO6jc</latexit>

fluctuations of AB phase✓ˆH (x) = ✓H +

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<latexit sha1_base64="E97Vtz+Mmt1o1AJ7LGz9eem8Txk=">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</latexit>
sha1_base64="fQRFKq7h/Blq9ixZPi/EgVuN/j0=">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</latexit>
sha1_base64="DGRKpEjRqOD2UFtTQKQ36tj3Elg=">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</latexit>

2mH =<latexit sha1_base64="aPyWVl4r68mDSkDCkbzj6cMpVek=">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</latexit>
sha1_base64="GKYrVnJ+iG/hBfXnNvjIB6p9+xY=">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</latexit>
sha1_base64="YxqOr++FX2piBVi8tQ86EjtJ9lE=">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</latexit>

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✓H = 0.1<latexit sha1_base64="OSQdDCnsMidDg4h1bR+Vhbl9c7I=">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</latexit>
sha1_base64="jjVVYSQhRvq8Yh30/VYzLz/Q1+E=">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</latexit>
sha1_base64="VGCTFbX67MpX3WKN6h9oxni2QWU=">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</latexit>���� ���� ���� ���� ���� ����θ� /πgauge hierarchy prob solved
20

Higgs couplings :W, Z, q, l ⇠ (SM) ⇥ cos ✓H<latexit sha1_base64="mA0BL5LkY1lrdZ3TQC9xlWwKEO0=">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</latexit>
sha1_base64="UsPUCVrVtS785KqMRJTdgpdba10=">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</latexit>
sha1_base64="zpcG/f3A0zEpIE0BU1IC8sNElOY=">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</latexit>

2
⇠
µ
cos
✓H
Signal strengths
SM<latexit sha1_base64="gGX075xaqeX6DM2fJ+p4plvtcPg=">AAAIOHicpVU7b9NQFD5tgZTyaAsLEotFUsRQVTcBmpYBVWLpgtQHpZXqEtmOnVj1S7YTSKz0B/QPMDCBxIBYWOnKwh9g6MaGKjaKxMLAd6+dNk4dWoGt+J57zvedV+5D9SwzCBnbHxoeOXf+Qm704tily1eujk9MXnsauA1f09c013L9DVUJdMt09LXQDC19w/N1xVYtfV3dfsTt603dD0zXeRK2PH3LVmqOaZiaEkJVmSjIgWlLst2oRLJqSKuPO5I8LcmaGzwrSXJY10OlsliZyLMZJh7ppFBMhDwlz5I7ObJDMlXJJY0aZJNODoWQLVIowLtJRWLkQbdFEXQ+JFPYderQGLgNoHQgFGi38a1htploHcy5z0CwNUSx8PPBlGiKfWHv2CH7zN6zA/Z7oK9I+OC5tDCqMVf3KuO7N1Z/ncqyMYZUP2b9NeeQDJoTuZrI3RMaXoUW85vtl4erD1amotvsDfuO/F+zffYJFTjNn9rbZX3llfBeBcfAqCKKSW2RDdeamHuisy1IIb68ixJsfOaLaFLS1a4PGygVzNp/+TiLhzSnipfjvaP/XAEujeE+OMbHaIqOzmC1zGJ8AW0dUV1IERUSrIMceKwC/MhiJTzHzB/A4h3vz8pPIk6Lis8S1/+nuOmoNVjiOnkX6+gG74kv/KSRjvAWAh3Rjnink7HTh3QFti66agAtncjcELlrmBXBjaiEbyEju9gTX+MmGNUz+bo7wBffE4GoNZZM0S0nA3U6xhB1xX2zESnW9PehifUXiVFHfhJm/fZ2yt4W9v4d0q0vj/ry6FSUqrl3F0kC08nQlpLc0v+8D4mfAJwVV3N8ikU99k7it9N3AljYkfoAdteazbWTc8kR6y3bQxqT7YdnWB3Aj22Dc4/Px8HZx/ZsvobuKgM717Vmc1sYrWSnZvN7Eb0+xpLO8f3QFLucr1C+PiOxIyxRb4xTycB9WTy+JudnGSvfg1Ceuz9bnj+6L5+WZopsprjM8gsPk5tzlG7SLbqDuGVaoEVaojXkt0sf6CPt5fZyX3PfcgcxdHgo4Vyn1JP78Qc56ayS</latexit>
sha1_base64="628bYYQHj3y073Yr61KZ0rU8x7A=">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</latexit>
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New Particles
41077✓H = 0.115
nF = 4

Z0
(1)
ZR
(1)

Z

(1)

4 1 1, 0✓H = 0.0917✓H = 0.0737

zL = 105zL = 104zL = 3 ⇥ 104(GeV)
m (TeV)(GeV) m (TeV)(GeV) m (TeV)
1058
7.92
853
5.67
729
6.74
6.00
7.19
8.52
564
406
467
6.01
909
992
7.20
8.52
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Z : Z
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22

q

LHC

q̄

✓H = 0.115
10

5

SM

0

Z

0

(1)
ZR , Z (1) ,

e
(1)

µ

e+ µ+

14 TeV LHC+

Z !e e✓H = 0.0737

6 TeV

no event for > 3000 GeV✓H < 0.1

23

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right-handed q, l
couple to Z’ strongly
24

biggerZ’ couplings
gw

0
µ
µ
¯
¯
Zµ forĝLθHfL
fL +UnitĝRisfR
fR
Table 2: Z couplings of fermions= 0.0917.
gw / cosθW . sin2 θW = 0.2312,
cos θW = 0.8768. cos ✓W′✓H = 0.0917<latexit sha1_base64="KtgxYedIB00ML91g76S8tIPHp1I=">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</latexit><latexit sha1_base64="93QESfObtbmFa4Ctz1ofnsuW7pA=">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</latexit>

SM: Z
Left
Right
νe
νµ
ντ
e
µ
τ
u
c
t
d
s
b

0.5

0

−0.26880.23120.3458−0.1541−0.42290.0771

(1)

Z (1)
Left
−0.183−0.183−0.183
0.099
0.099
0.099
−0.127−0.130
0.494
0.155
0.155
−0.610

Right
0
0
0
0.916
0.860
0.814
−0.600−0.555−0.372
0.300
0.277
0.186

ZR
Left
0
0
0
0
0
0
0
0
0.985
0
0
0.984

Right
0
0
0
−1.261−1.193−1.136
0.828
0.773
0.549
−0.414−0.387−0.274

γ (1)
Left
0
0
0
0.155
0.155
0.155
−0.103−0.103
0.404
0.052
0.052
−0.202

Funatsu, Hatanaka, YH, Orikasa, 1705.05282

Right
0
0
0
−1.665−1.563−1.479
1.090
1.009
0.678
−0.545−0.504−0.33925

ILC
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M = e+

µ
e
+ +
µ
e+

Z,

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ZR , Z (1) ,(1)<latexit sha1_base64="ZNaBSGDqD6bDnT19STk5hUZsLQg=">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</latexit><latexit
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M0<latexit sha1_base64="KS+0RLmi6ALbH0XcG9wH+R+g/NA=">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</latexit>

MZ 0

µ
µ+
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m2Z ⌧

s

<latexit sha1_base64="UymYWKwYhOVGX3mImorNE25aQP0=">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</latexit>⌧ m2Z 0(250 GeV)2 ⇠ (1 TeV)2<latexit sha1_base64="YCJu8vl3Xnr+WBl2KU+aw9azdqg=">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</latexit>

Look at: interferencePe= +1 (right-handed)

M0 M⇤Z 0|M0 |2

⇠

⇠

13.6

s

m2Z 0 p0.017 at s = 250 GeV

26

e e

! f¯f

(µ+ µ )

c

+

GHU
10

SM

✓H = 0.0917

σ GHU /σ SM (μ+ μ- )

5

a
d

Pe↵ =

0.877

b
e

Pe↵ =

1
0.5

Pe↵ = 0

250

500

Pe +

1

P e Pe +✓H = 0.0737

Pe↵ = 0.877
100

Pe

1000

s [GeV]3000, Z, Z 027

statistical uncertainty

1.00

σ GHU /σ SM (μ+ μ- )250 GeV
0.98
0.96

GHU

0.94

1

)

0.0737✓H = 0.0917(µ+ µ )

SM

0.92
0.90
-1.0

(250 GeV, 250 fb

500 GeV
-0.5

0.0

0.5

1.0

Pe↵ =

Pe

Pe +

1

P e Pe +Peff, Z, Z
4 % at Pe↵ = 0.877

0at 250 GeV

28

Leptonic channels – GHU sensitivity=<latexit sha1_base64="Axi1yG11WsCTf+gtGRRBvZ5elrk=">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</latexit>dd cos ✓.dSM

d cos ✓

1e e+ ! e e+<latexit sha1_base64="UD57uT6k0Y3DWZ04O/ZO6ZAr7bo=">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</latexit>
sha1_base64="+gAQ/bZfrqi4km4XZSBRLLl/e0A=">AAAE03icfVPNbtQwEHbbBcry1wI3LhYpEhJllWSX3fYClbhwLBLbVmq2lZNMsladOLKdtlkrPSCuvAM3BK/BU/A2OLtJldKCpUTz/cx4ZHv8jFGpbPv30vJK59btO6t3u/fuP3j4aG398Z7kuQhgHHDGxYFPJDCawlhRxeAgE0ASn8G+f/K+0vdPQUjK00+qyGCSkDilEQ2IMtTx2lM4eo3h6BX2Yo6ruALHa5bd294auoMhtnu2PXJcpwrc0aA/wI5hqmW9+9Xv7yCEdo/XV757IQ/yBFIVMCLloWNnaqKJUDRgUHa9XEJGghMSw6EJU5KAnOh5+yV+YZgQR1yYL1V4zrYzNEmkLBLfOBOipvJvrSJv0g5zFW1NNE2zXEEaLDaKcoYVx9VZ4JAKCBQrTEACQU2vOJgSQQJlTqzb9UKIPF/SGWgvpDJjpJCqYIA9qUSucLlwJIVP4/87rhtqJQy1l1WnRFjNMKI9QaiEnjOEc2/q83O9Ydg0ZrBReoyfgWhJJW5KCZO4iW/IFf/OrVNjbvak8VQRIfhZTaZwrrS+uLjYNF9ZkzyFKWGRxnVx7XjcPC/slhuX1YxHTakIr5n6LRNkUlc/ynh6SV1jokibzhJsgqaD00J7pxDgosGzBZ6V3eY6InODlmO5Jnd+N9iqG2igWzbmWACklmOc81en57i0nGY3n+XQkivYUs0smQdPWoaaaXkEhC3doCvVzUO9Ut7glh4UpN1cBVtqAczcaEtfEAtH16vGoZ587XMWVpwfmdFu5tdM9PbQDPfABKOtN8PR9uVo77k9x+45H21r5y1arFX0DD1HL5GDRmgHfUC7aIwCNEPf0A/0szPu6M7nzpeFdXmpznmCrqzO1z8sG6SW</latexit>
sha1_base64="eY+aYQ43iRJBDbYAzC/ZCR3us5Q=">AAAE03icfVPNbtQwEHbbBcry1wI3LhYpEhJllWyX3fYClbhwLBLbVmq2leNMsladOLKdtqmVHhBX3oEbgtfgKXgbnN2kSmnBUqL5fmY8sj1BxpnSrvt7YXGpc+v2neW73Xv3Hzx8tLL6eFeJXFIYU8GF3A+IAs5SGGumOexnEkgScNgLjt9X+t4JSMVE+kkXGUwSEqcsYpRoSx2tPIXD1xgOX2E/FriKK3C04ri9rc1hfzDEbs91R17fq4L+aLAxwJ5lquW8+7UxWztHq0vf/VDQPIFUU06UOvDcTE8MkZpRDmXXzxVkhB6TGA5smJIE1MTM2i/xC8uEOBLSfqnGM7adYUiiVJEE1pkQPVV/axV5k3aQ62hzYlia5RpSOt8oyjnWAldngUMmgWpe2IBQyWyvmE6JJFTbE+t2/RAiP1DsHIwfMpVxUihdcMC+0jLXuJw7kiJg8f8d1w21EobGz6pTIrxmODG+JExBzxvCmT8NxJlZs2wac1grfS5OQbakEjelpE1cxzfkyn/n1qmxsHuyeKqJlOK0JlM408ZcXFys26+sSZHClPDI4Lq48Xxhnxful2uX1axHT5kMr5k2WibIlKl+jIv0krrGRJGxnSXYBk0HJ4XxT4DiosHnc3xedpvriOwNOp7Tt7mzu8FO3UAD+2VjjiVA6njWOXt1ZoZLx2t2C3gOLbmCLdXOkn3wpGWomZZHQtjSLbpS3T7UK+Utbum0IO3mKthSC+D2Rlv6nJg7un41DvXkm0DwsOKCyI52M792oreGdrgHNhhtvhmOti5He7ff89ye99F1tt+i+VpGz9Bz9BJ5aIS20Qe0g8aIonP0Df1APzvjjul87nyZWxcX6pwn6MrqfP0DdC+lIg==</latexit>cos ✓e e+ ! µ µ +<latexit sha1_base64="Zy1aqTfOr3kl6EK0aR7X/hoiw+E=">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</latexit>
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sha1_base64="URtEYyiuts0pVYkX9XyxF9LllZs=">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</latexit>

ILC 250
12000 fb<latexit sha1_base64="8kugc3jKis6WNSM2ufmSCTZMEYs=">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</latexit><latexit sha1_base64="BAmSz18t4fFMLHzm4Jnmu5rnBJ8=">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</latexit>

Clear separation for
any favorable qH
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8
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T. Suehar

Taikan Suehara et al, ALCW2018 in Fukuoka, 29 May 2018 page 7

29

AF B =
0.8

forwardbackward

forward +backward+

AF B (µ µ )✓H = 0.0917

SM f,g,h0.6
AFB (μ+ μ- )

0.4

c

0.2

a

Pe↵ = 0

d

b

0.0
-0.2

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0.0737Pe↵ = 0.877

-0.4
100

200

500

1000

2000

s [GeV]305

SM
SM + (AGHU
-A
)/A
FB
FB
FB (μ μ )

0.01
0.00

AGHU
FB

+
(µ
µ )
SM

AF B

1
statistical uncertainty(250 GeV, 250 fb✓H = 0.0917
250 GeV-0.03

500 GeV

-0.04
-0.05
-1.0

)

0.0737

-0.01
-0.02

1

0.0

-0.5

0.5

1.0

Peff

250 GeV, 250 fb

1Pe↵ = 0.8

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1,

6

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31

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1 ~ 2 % deviationsZe+<latexit sha1_base64="B1e5eXCTpHC7GJBfD4ueWV74fUg=">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</latexit><latexit
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Explore New Particles (7 - 8 TeV)
e
e

+

Z,

µ
e
+ +
µ
e+

µ
µ+

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3

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32

Summary
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Einstein

Nambu

Mechanism of gauge symmetry breaking&&

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AB phases<latexit sha1_base64="KNS/0o07ucxhq3jzeIrXELNytRg=">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</latexit>
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(
(

&
)

(

&

33

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Higgs boson = gauge boson
&
&

&

n
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34