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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.

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slide1

weakbosons

-

composite

H. Fritzsch

LMU Munich

slide3

p

p

4 TeV

4 TeV

slide4

???

126 GeV

slide5

-

?

excited

weakboson

spin 0

slide6

weakbosons

-

composite

slide7

Standard Model

-

quarks + leptons

weakbosons

pointlike

slide8

SLAC – DESY

LEP - Tevatron

radius of electron:

radius of u/d-quark:

slide9

Standard model

! Massof Proton !

? MassofWeakBoson ?

slide11

-

70 % 30%

slide12

Mass

of

WeakBoson

???

slide13

spontaneous

symmetry

breaking

Anderson

Brout – Englert

Guralnik – Hagen - Kibble

Higgs

slide14

spontaneous

symmetry

breaking

“Higgs“ - mechanism

slide15

?

weakbosonmass

H

slide16

-

alternative:

massgeneration

confinement

slide17

weakbosons

-

composite

slide21

-

SU(2)

2 x 2 scalars

mass M

massless

rho - mesons

slide22

-

“Higgs“ - mechanism

„Higgs“ - scalar

mass M

massive

rho - mesons

slide29

-

“Higgs“ - mechanism

„Higgs“ - scalar

mass M

massive

rho - mesons

slide30

- meson in QCD :

quark - antiquark - gluons

slide32

-

Q C D

1 GeV

no „Higgs“ - scalar

3 massive

rho - mesons

universality coupling constants quarks duality diagrams current algebra vector meson dominance
universalitycouplingconstantsquarksdualitydiagramscurrentalgebravectormesondominanceuniversalitycouplingconstantsquarksdualitydiagramscurrentalgebravectormesondominance
slide37

current

rho - meson

slide39

weakbosons

composite

slide40

-

old references:

Bjorken (1977)

Fritzsch and Mandelbaum (1981)

Abbott andFarhi (1981)

Barbieri andMohapatra (1981)

Fritzsch, Kogerlerand Schildknecht (1982)

Lüst (1985)

Calmetand Fritzsch (2000)

slide41

-

new:

H. Fritzsch

- arXiv: 1010.1428

- arXiv: 1105.3354

- arXiv: 1203.5600

slide42

-

masses of composite

weak bosons ?

analogy

slide43

-

M

QCD

slide44

-

QCD + QED

Dynamical mixing of rho meson and photon:

slide45

-

mixing parameter m

decay constant

slide47

-

mixing with photon

m: mixing parameter

~ 3.1 MeV

m = 0.09

slide48

-

QCD +QED

mass shift:

3.1 MeV

slide49

-

~10.4 GeV

slide51

W

====>>>

constituents

slide53

-

lefthandedfermions

slide55

-

electric charges

slide57

-

haplons confined

by gauge force

QHD

chiralgaugetheory

slide58

-

glue gluten

gaugebosons

glutons

slide59

-

Gauge group

ofQHD

SU(n)

slide60

-

Gauge group

of QHD:

? SU(3) ?

slide61

QCD

dualitydiagram

slide62

QHD

 dualitydiagram

slide63

QHD

 universalityof

couplingconstants

slide69

4th color

J. Pati – A. Salam

slide71

-

gauge group

ofQHD

slide72

-

massscale

of

QHD

slide77

-

QCD

Dynamical mixing of

meson and photon

slide78

-

mixing with photon

m: mixing parameter

~ 3.1 MeV

m = 0.09

slide79

-

QHD

Dynamical mixing of

W-boson and photon

slide80

-

mixing of W with photon

m: mixing parameter

slide81

-

Standard Model

slide82

-

Standard Model

slide83

-

Standard Model

~10.4 GeV

slide84

-

QCD + QED

QHD+ QED

~10.4 GeV

~3.1 MeV

slide85

-

W decay constant

slide87

-

experimental data:

slide88

-

-

slide89

-

uncertainty:

gaugegroupof

QHD

slide90

-

??? QHD gauge group ???

slide94

-

New:

isoscalar

slide95

Presentlowerlimit

on X-mass:

~400 GeV

slide96

-

Example: M(X)=0.8 TeV

1 TeV

slide97

Couplingof X to

leptonsandquarks:

couplingof Z - boson

slide99

X – decayintomuons

 Z – decayintomuons:

summation total width of x 200 gev
SummationTotal widthof X: 200 GeV

Total widthof Z:

2.5 GeV

slide106

complexities

of

strong interactions

~ 1 GeV

slide107

complexities

of

QHD interactions

~ 1 TeV

p wave bosons
p-wavebosons

three SU(2) singlets

S(0) = 0 (0)

S(1) = 0 (1)

S(2) = 0 (2)

p wave bosons1
p-wavebosons

three SU(2) triplets

T(0) = 1 (0)

T(1) = 1 (1)

T(2) = 1 (2)

slide112

strong mixing

with

gluemesons

=> lowmass

slide113

mixing

1 GeV

slide115

0.5 TeV

0.1 TeV

slide116
S(0)

strong mixing

with

glutonbosons

=> lowmass

slide117

mixing

0.1 TeV

slide118

-

S(0)

LHC

? 126 GeV ?

slide119

S(0)

126 GeV

slide122

0.5 TeV

0.1 TeV

slide123

0.5 TeV

0.1 TeV

slide124

0.5 TeV

0.1 TeV

slide128

w

W

100 %

slide129

Z

Z

59 %

slide130

Z

36 %

slide132

-

Experiment

S(0): 0.05

Expected <

slide136

Z

Z

Z

slide137

three

lepton-quark

families

slide138

24

? fundamental ?

fermions

? 12 masses ?

? 10 mixingparameter ?

slide139

-

leptonsandquarks

composite

slide140

haplons also inside

leptonsandquarks

slide141

leptons - quarks

color

leptonnumber

slide142

-

simplest theory:

leptons - quarks

(fermion + scalar)

slide146

-

2 fermions

4 scalars

slide147

-

electriccharges

charges

quantized !

slide148

s

f

interactions

s

f

s

gluton

gluton

s

slide149

-

leptons

slide150

-

red

quarks

slide151

-

+

fermion

scalar

electron

slide152

-

+

scalar

fermion

red quark

slide162

-

quark – quark

scattering:

slide165

-

Conclusions

  • weakbosons
  • leptons
  • quarks
  • composite
slide166

S(0)

126 GeV

slide167

-

S(0)

excited

weakboson

Spin 0

slide168

many QHD resonances

above

1 TeV

L H C