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weak bosons. -. composite. H. Fritzsch LMU Munich. LHC. p. p. 4 TeV. 4 TeV. ???. 126 GeV. -. ? excited weak boson spin 0. weak bosons. -. composite. Standard Model . -. quarks + leptons weak bosons. pointlike. SLAC – DESY LEP - Tevatron. - PowerPoint PPT Presentation
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composite H. Fritzsch LMU Munich
LHC
p p4 TeV
4 TeV
???
126 GeV
composite
pointlike
quarks + leptons weak bosons
cm1710
SLAC – DESY LEP -
Tevatron
STANDARD MODEL
! Mass of Proton !
? Mass of Weak Boson ?
protonmass
field energy of
gluons and quarks
70 % 30%
2)()( cMquarksEgluonsE p
Mass of
Weak Boson ???
AndersonBrout – EnglertGuralnik – Hagen - KibbleHiggs
composite
Examplerho – mesons
„Higgs“ mechanism
~ 1960: J. J. Sakurai
rho mesons
elementary gauge bosons
~ 1964mass generation for rho mesons
„Higgs“mechanism
2 x 2 scalars
„Higgs“ - scalar
UNIVERSALITY
5.2
4
2
g
N
5.24
2
NNg
N
5.24
2
g
universality of
coupling constants
non-Abelean gauge invariance
gauge theory
rho mesons
elementary gauge bosons
„Higgs“ - scalar
cconst
MeVM
.
760
1 GeV
Q C D
UNIVERSALITY
5.24
2
g
N
5.24
2
NNg
N
N
5.24
2
g
universality
coupling constants
quarks duality diagramscurrent algebra
vector meson dominance
current rho - meson
WWW
00
0
M
Dynamical mixing of rho meson and photon:
2
22
1 mMM W
Z
FMdduu 0)(210
:F
MF
em
MeVF 220
cF
2
22
1 mMM W
Z
0
2
22
10
m
MM
0
W W
Z
?
quarks
W
1000
haplons
haplos simple
2/12/1
2
1
WW
3W
chiral gauge theory
glue gluten
QCD
duality diagram
duality diagram
QHD
universality of coupling constants
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
RL parity violation
c
meson
scaleQCDc :
bosonW
L
?L
QCDDynamical mixing of meson and photon
2
22
1 mMM W
Z
0
2
22
10
m
MM
QHDDynamical mixing of W-boson and photon
W W
2
22
1 mMM W
Z
W
2
22
1 mMM W
Z
w
WZ
MM2
22
sin1
Standard Model
w
WZ
MM2
22
sin1
Standard Model2
22
1 mMM W
Z
485.0sin mw
W WZ
Standard Model
0
W WZ
QCD + QED
QHD+ QED
WWLL FMZ )(210
GeVFm
MFem
W
W
W
125485.0
3122.09.128
14
2315.0sin
...6.124...19.91
...4.80
2
2
e
e
GeVFGeVMGeVM
W
W
Z
W
TeVFW _125.0
MeVF c 220
L
TeVTeVF
L
W
_0.113.0_130.0
TeVFW _125.0
TeVL 0.112.0
??? QHD gauge group ???
)3()( SUnSU
TeVTeVF
Lh
W
13.013.0
,
TeVLh 0.112.0 ,
TeVRh 1,
NEW BOSONS
2
1 2
1
XZ
New:isoscalar
Present lower limit on X-mass:
~400 GeV
Z
X
Example: M(X)=0.8 TeV
Coupling of X to leptons and quarks:
coupling of Z - boson
2
1
X – decay into muons Z – decay into muons:
MeVZ 84)(
GeVX 6.3)(
SummationTotal width of X: 200 GeV
Total width of Z: 2.5 GeV
Discovery of X-boson:
search for decayinto weak bosons
ZZX
Z
Z
complexities of strong interactions ~ 1 GeV
GeVc ...3.0
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)
2
1S
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(:)500(~:
2
1
ftensorhvector
scalar
strong mixing with glue mesons=> low mass
mesonglue
1 GeV
mixing
analogy
)2()1270()1()1170()0()500(~
2
1
SfShS
0.1 TeV
)0(S
0.5 TeV
)1(S
)2(S
S(0)strong mixing with gluton bosons => low mass
0.1 TeVmixin
g)0(S
bosongluton
S(0)
LHC? 126 GeV ?
S(0)
126 GeV
isospin triplets in QCD
)1270(:)1235(:)980(:
2
1
0
ftensorbvectorascalar
analogy
)2(1270()1()1235()0()980(
2
1
0
TfTbTa
0.1 TeV
0.5 TeV
WJ0 1 2
Z
0.1 TeV )0(S
0.5 TeV
)1(S
)2(S
WJ0 1 2
Z
0.1 TeV )0(S
0.5 TeV
)1(S
)2(S
WJ0 1 2
Z
)2(T
)0(T
)1(T
S(0) - 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 <
„Higgs“ –boson
015.0
WWHH
decays of S(1)M= 320 Gev
)1()1()1()1()1()1(
SZS
ZZZSZZSZZSWWS
)1(SLandau-Yang-
Theorem
Z
bbbttt
sssccc
dddeuuue
three lepton-quark
families
24 ? fundamental ? fermions ? 12 masses ? ? 10 mixing parameter ?
haplons also inside leptons and quarks
color
lepton number
),(
bgr
bgr
DDDLUUU )2(SU
lepton-quark-family
bgr
bgr
DDDLUUU )2(SU
cSUUSU )3()1()4(
bgrl
21: l
61: r
61: g
61: b
e
2/1
2/1
charges quantized
!
gluton gluton
el
l e
:
:
rrr
rrr
bsdrtcur
,,:,,:
126 GeV „Higgs“
bosondecay into leptonselectrons : muon : tauons0.00002 : 1 : 286
S(0) leptons
)0(S
)0(S
s-wave
p-wave
? M>1 TeV ?
),,(21
),,(23
tcuJ
tcuJ
Decay
Zuu
uu
q
q
S(0)
126 GeV
L H C
above 1 TeV
