？ composite？　 H. Fritzsch LMU Munich

proton

mass

confinement

0.94 GeV 　

　 !!!

Proton weak boson

0.94 GeV 81 GeV

???! ! !

! ! ! Proton weak

boson

0.94 GeV 　 　 81 GeV

　 ! ! !

WWW

00

standard model elementary gauge bosons gauge group

SU(2) x U(1)

bosonsW

„Higgs“ - scalar

elementary gauge bosons gauge group

SU(2)

mesons1961

„Higgs“ - scalar

composite mesons

QCD

mesons1973

dq

q

q

0

M

Dynamical mixing of rho meson and photon:

2

22

1 mMM W

Z

FMdduu 0)(210

:F

MF

em

cF

29.0/

220

MF

MeVF

2

22

1 mMM W

Z

0

2

22

10

m

MM

0

W WZ

Standard Model

composite weak bosons

bosonsW

dq

q

q

W

?

W WZ

?

inside weak bosons

haplons

haplos simple

2/12/1

21

WW

3W

QHD

)1()2( USU L

)1()2()2( USUSU RL

)1()2()2( USUSU RL

TeVWofmass R 1:

)1()2()3( USUSU Lc

Standard Model

RLc SUSUUSU )2()2()1()3(

RLlc SUSUSU )2()2()4( ,

RLc SUSUUSU )2()2()1()3(

)1()3()4( , USUSU clc

bgr

bgr

DDDLUUU

bgr

bgr

DDDLUUU

4th colorJ. Pati – A. Salam

RLlc SUSUSU )2()2()4( ,

L

R

RL nSUnSU )()(

mass scale of

RL

bosonW

L

QHDDynamical mixing of W-boson and photon

W W

2

22

1 mMM W

Z

W

2

22

1 mMM W

Z

w

WZ

MM22

2

sin1

Standard Model

w

WZ

MM22

2

sin1

Standard Model2

22

1 mMM W

Z

w

WZ

MM22

2

sin1

2

22

1 mMM W

Z

485.0sin mw

WWLL FMZ )(210

GeVFm

MFem

W

W

W

125485.0

29.0

MF

54.1W

W

MF

QCD QHDvector gauge theory

chiral gauge theory

TeVFW _125.0

MeVF c 220

L

TeVFW _125.0

TeVL 0.112.0

??? QHD gauge group ???

TeVL 0.112.0

TeVR 1

NEW BOSONS

21

21

XZ

New:isoscalar

Experiment

M(X)> 400 GeV

Z

X

Example: M(X)=0.8 TeV

Coupling of X to leptons and quarks:

coupling of Z - boson

21

X – decay into muons Z – decay into muons:

MeVZ 84)(

GeVX 6.3)(

...

XWWX

ZWWX

ZZWWX

WWWWX

ZXZZXZZZX

WWX

ZWWX

other

decays:

SummationTotal width of X: 100 GeV

Total width of Z: 2.5 GeV

Z - boson

mass 91 GeVwidth 2.5 GeV

X - boson

mass 800 GeVwidth 100 GeV

rho meson

mass 760 MeVwidth 150 MeV

Discovering X-boson

search for decayinto weak bosons

ZZX

Z

Z

X

GeVc ...3.0

Q C D

=>complexities of strong interactions ~ 1 GeV

GeVc ...3.0

c

h TeV

1000

_3.0

Q H D

c

h TeV

1000

_3.0

=> complexities of QHD interactions ~ 1 TeV

EXCITED WEAK

BOSONS

momentumangularJSUIJI

:)2(:

)(

p-wave bosons three SU(2) singlets

S(0) = 0 (0) S(1) = 0 (1) S(2) = 0 (2)

21S

p-wave bosonsthree SU(2) triplets

T(0) = 1 (0) T(1) = 1 (1) T(2) = 1 (2)

210TTT

p-wave mesons ( QCD )

)1270(:)1170(:)700(~:

2

1

ftensorhvector

scalar

analogy

)2()1270()1()1170()0()700(~

2

1

SfShS

0.1 TeV)0(S

0.5 TeV

)1(S

)2(S

S(0)

LHC? 125 GeV ?

J

mass

spectrum?

isospin triplets in QCD

)1270(:)1235(:)980(:

2

1

0

ftensorbvectorascalar

analogy

)2(1270()1()1235()0()980(

2

1

0

TfTbTa

decays

ZvirtualZ ""

ZZSWWS

WWS

"")0("")0(

"")0(

wwZW sincos3

33)0(

)0(

)0(

WWS

WWS

WWS

%5)0(%36)0(%59)0(%100)0(

..23.0..77.03

SZS

ZZSWWS

ZW

100 %

59 %

36 %

5 %

Experiment

S(0): 0.05

015.004.0)0()0(

WWSS

Expected <

decays of S(1)M= 320 Gev

)1()1()1()1()1()1(

SZS

ZZZSZZSZZS

WWS

weak bosons compositeleptons and quarks composite

QHD

color

lepton number

),(

bgr

bgr

DDDLUUU )2(SU

cSUUSU )3()1()4(

)4(SU

bgrl

bgr

bgr

DDDLUUU

)()()()()()()()(

bgrlbgrl

21: l

61: r

61: g

61: b

QHD gauge boson QHD gauge boson

Rfermion)(

Lfermion)(

R

L

s-wave

p-wave

2123

J

J

? M>1 TeV ?

Decay

Z

future

5 %

2012

)0(S

) 2013

)0(S

)0(S

)1(S

)1(S

TeVS33.0)1(

2014

Z

W

TeVT33.0)0(

)0(T

2015

2016

TeV48.1

QHD