weak bosons
description
Transcript of weak bosons
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composite H. Fritzsch LMU Munich
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LHC
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p p4 TeV
4 TeV
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???
126 GeV
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composite
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pointlike
quarks + leptons weak bosons
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cm1710
SLAC – DESY LEP -
Tevatron
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STANDARD MODEL
! Mass of Proton !
? Mass of Weak Boson ?
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protonmass
field energy of
gluons and quarks
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70 % 30%
2)()( cMquarksEgluonsE p
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Mass of
Weak Boson ???
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AndersonBrout – EnglertGuralnik – Hagen - KibbleHiggs
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composite
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Examplerho – mesons
„Higgs“ mechanism
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~ 1960: J. J. Sakurai
rho mesons
elementary gauge bosons
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~ 1964mass generation for rho mesons
„Higgs“mechanism
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2 x 2 scalars
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„Higgs“ - scalar
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UNIVERSALITY
5.2
4
2
g
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N
5.24
2
NNg
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N
5.24
2
g
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universality of
coupling constants
non-Abelean gauge invariance
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gauge theory
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rho mesons
elementary gauge bosons
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„Higgs“ - scalar
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cconst
MeVM
.
760
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1 GeV
Q C D
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UNIVERSALITY
5.24
2
g
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N
5.24
2
NNg
N
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N
5.24
2
g
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universality
coupling constants
quarks duality diagramscurrent algebra
vector meson dominance
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current rho - meson
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WWW
00
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0
M
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Dynamical mixing of rho meson and photon:
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2
22
1 mMM W
Z
FMdduu 0)(210
:F
MF
em
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MeVF 220
cF
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2
22
1 mMM W
Z
0
2
22
10
m
MM
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0
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W W
Z
?
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quarks
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W
1000
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haplons
haplos simple
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2/12/1
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2
1
WW
3W
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chiral gauge theory
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glue gluten
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QCD
duality diagram
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duality diagram
QHD
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universality of coupling constants
QHD
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)1()2( USU L
)1()2()2( USUSU RL
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)1()2()2( USUSU RL
TeVWofmass R 1:
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)1()2()3( USUSU Lc
Standard Model
RLc SUSUUSU )2()2()1()3(
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RLlc SUSUSU )2()2()4( ,
RLc SUSUUSU )2()2()1()3(
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)1()3()4( , USUSU clc
bgr
bgr
DDDLUUU
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bgr
bgr
DDDLUUU
4th colorJ. Pati – A. Salam
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RLlc SUSUSU )2()2()4( ,
L
R
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RL nSUnSU )()(
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mass scale of
RL
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RL parity violation
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c
meson
scaleQCDc :
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bosonW
L
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?L
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QCDDynamical mixing of meson and photon
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2
22
1 mMM W
Z
0
2
22
10
m
MM
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QHDDynamical mixing of W-boson and photon
W W
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2
22
1 mMM W
Z
W
2
22
1 mMM W
Z
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w
WZ
MM2
22
sin1
Standard Model
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w
WZ
MM2
22
sin1
Standard Model2
22
1 mMM W
Z
485.0sin mw
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W WZ
Standard Model
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0
W WZ
QCD + QED
QHD+ QED
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WWLL FMZ )(210
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GeVFm
MFem
W
W
W
125485.0
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3122.09.128
14
2315.0sin
...6.124...19.91
...4.80
2
2
e
e
GeVFGeVMGeVM
W
W
Z
W
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TeVFW _125.0
MeVF c 220
L
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TeVTeVF
L
W
_0.113.0_130.0
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TeVFW _125.0
TeVL 0.112.0
??? QHD gauge group ???
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)3()( SUnSU
TeVTeVF
Lh
W
13.013.0
,
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TeVLh 0.112.0 ,
TeVRh 1,
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NEW BOSONS
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2
1 2
1
XZ
New:isoscalar
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Present lower limit on X-mass:
~400 GeV
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Z
X
Example: M(X)=0.8 TeV
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Coupling of X to leptons and quarks:
coupling of Z - boson
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2
1
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X – decay into muons Z – decay into muons:
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MeVZ 84)(
GeVX 6.3)(
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SummationTotal width of X: 200 GeV
Total width of Z: 2.5 GeV
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Discovery of X-boson:
search for decayinto weak bosons
ZZX
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Z
Z
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complexities of strong interactions ~ 1 GeV
GeVc ...3.0
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c
h TeV
1000
_3.0
complexities of QHD interactions ~ 1 TeV
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EXCITED WEAK
BOSONS
momentumangularJSUIJI
:)2(:
)(
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p-wave bosons three SU(2) singlets
S(0) = 0 (0) S(1) = 0 (1) S(2) = 0 (2)
2
1S
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p-wave bosonsthree SU(2) triplets
T(0) = 1 (0) T(1) = 1 (1) T(2) = 1 (2)
210TTT
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p-wave mesons ( QCD )
)1270(:)1170(:)500(~:
2
1
ftensorhvector
scalar
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strong mixing with glue mesons=> low mass
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mesonglue
1 GeV
mixing
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analogy
)2()1270()1()1170()0()500(~
2
1
SfShS
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0.1 TeV
)0(S
0.5 TeV
)1(S
)2(S
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S(0)strong mixing with gluton bosons => low mass
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0.1 TeVmixin
g)0(S
bosongluton
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S(0)
LHC? 126 GeV ?
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S(0)
126 GeV
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isospin triplets in QCD
)1270(:)1235(:)980(:
2
1
0
ftensorbvectorascalar
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analogy
)2(1270()1()1235()0()980(
2
1
0
TfTbTa
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0.1 TeV
0.5 TeV
WJ0 1 2
Z
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0.1 TeV )0(S
0.5 TeV
)1(S
)2(S
WJ0 1 2
Z
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0.1 TeV )0(S
0.5 TeV
)1(S
)2(S
WJ0 1 2
Z
)2(T
)0(T
)1(T
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S(0) - decays
ZvirtualZ ""
ZZSWWS
WWS
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wwZW sincos3
33)0(
)0(
)0(
WWS
WWS
WWS
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%5)0(%36)0(%59)0(%100)0(
..23.0..77.03
SZS
ZZSWWS
ZW
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100 %
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59 %
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36 %
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5 %
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Experiment
S(0): 0.05
015.004.0)0(
)0(
WWSS
Expected <
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„Higgs“ –boson
015.0
WWHH
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decays of S(1)M= 320 Gev
)1()1()1()1()1()1(
SZS
ZZZSZZSZZSWWS
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)1(SLandau-Yang-
Theorem
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Z
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bbbttt
sssccc
dddeuuue
three lepton-quark
families
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24 ? fundamental ? fermions ? 12 masses ? ? 10 mixing parameter ?
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haplons also inside leptons and quarks
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color
lepton number
),(
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bgr
bgr
DDDLUUU )2(SU
lepton-quark-family
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bgr
bgr
DDDLUUU )2(SU
cSUUSU )3()1()4(
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bgrl
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21: l
61: r
61: g
61: b
e
2/1
2/1
charges quantized
!
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gluton gluton
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el
l e
:
:
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rrr
rrr
bsdrtcur
,,:,,:
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126 GeV „Higgs“
bosondecay into leptonselectrons : muon : tauons0.00002 : 1 : 286
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S(0) leptons
)0(S
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)0(S
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s-wave
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p-wave
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? M>1 TeV ?
),,(21
),,(23
tcuJ
tcuJ
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Decay
Zuu
uu
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q
q
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S(0)
126 GeV
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L H C
above 1 TeV