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Composite Weak Bosons LHC
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CERN LHC
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ATLAS at Large Hadron Collider / CERN
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CMS
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quarks - leptons - weak bosons
Standard Model: quarks - leptons - weak bosons ==> pointlike
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present limit on the substructure of leptons and quarks
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- mass Problem for Standard Model
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Mass: - 1686
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- mass 1916 geometry ( General Relativity )
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- mass universal
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Standard Model two different types of mass generation
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mass by confinement QCD
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electroweak theory spontaneous symmetry breaking
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proton weak boson ? <=mass=> H H
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- alternative: mass generation confinement
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===> weak bosons composite
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v = 246 GeV => 0.3 TeV !! new interaction !!
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Fritzsch and Mandelbaum (1981) Abbott and Farhi (1981)
- old references: Bjorken (1977) Fritzsch and Mandelbaum (1981) Abbott and Farhi (1981) Barbieri and Mohapatra (1981) Fritzsch, Kogerler and Schildknecht (1982) Uehara and Yanagida (1985)
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- new: Fritzsch (2010) arXiv:
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- masses of composite weak bosons ? analogy
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- QCD quark masses = 0 no electromagnetism
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Dynamical mixing of rho meson and photon:
- QCD + QED Dynamical mixing of rho meson and photon:
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- mixing parameter m decay constant
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-
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- m: mixing parameter m = 0.09
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- mixing mass shift: 3.1 MeV
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- masses of composite weak bosons ?
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W ====>>> constituents
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- lefthanded fermions
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-
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- electric charges
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-
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- haplons confined by gauge force QHD
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- Gauge group of QHD: SU(n) ( e.g. SU(3) )
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- mass scale of Q H D
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- QHD Dynamical mixing of W-boson and photon
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- mixing of W with photon m: mixing parameter
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- Standard Model
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-
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- Q C D
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- Q H D
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- QCD + QED QHD+ QED ~10.4 GeV ~3.1 MeV
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- W decay constant
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- experimental data:
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- -
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- uncertainty: which gauge group for QHD?
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-
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of strong interactions
- complexity at 1 T e V complexity of strong interactions at 1 G e V
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- QCD 1 GeV
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- QHD 1 TeV 0.8 TeV 0.081 TeV
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-
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-
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- ? 1 TeV
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-
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-
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- QCD QHD 63
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- QHD 1 TeV
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- unknown: coupling of W(2) etc. to fermions
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- decay into weak bosons
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- L H C p p
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quarks <==> antiquarks
- QHD interaction quarks <==> antiquarks p p
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-
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muon Z W Z
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-
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Z production at LHC: ~ 21 nb
- Z production at LHC: ~ 21 nb ==> estimate of cross section for W production ~ 0.3 nb
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- hadrons
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Z Z
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- hadrons
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- weak bosons composite weak interactions
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d W u
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d W u
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leptons and quarks must be composite
- weak interactions leptons and quarks must be composite
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-
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- What is ? ? : for leptons ==> lepton number ? : for quarks ==> color r - g - b
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- simplest theory: leptons - quarks (fermion + scalar)
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leptons - quarks
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- 2 fermions 4 scalars
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- 4 scalars inside leptons ks inside qu ar
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- electric charges
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- electric charges
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s f interactions s f s s
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- leptons
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- red quarks
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- + fermion scalar electron
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- + scalar fermion red quark
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- resonances: A: new boson ( e.g. the weak bosons )
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- resonances: A: new boson new boson B: C: new fermion
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- cross section for QHD interaction?
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comparison with proton - proton inelastic scattering:
size: 1000
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- of all events QHD interaction
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- QHD - resonance ~ 1 TeV
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muon Z Z Z
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muon W W neutrino
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- quark – antiquark scattering:
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- resonances:
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- 1 TeV
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- invariant mass: e.g. 1 TeV Z Z Z
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- resonance
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"strongly interacting systems"
- leptons become "strongly interacting systems" " Q H D "
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- TeV 1 0.8 TeV
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- 7 TeV 7 TeV ~0.8 TeV
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muon
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electron
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neutrino
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u - d - s - c - b - t
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- Conclusions weak bosons, leptons and quarks are composite systems
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weak boson => fermion + antifermion
- weak boson => fermion + antifermion lepton, quark => fermion + scalar - masses of weak bosons, leptons and quarks ==>> confinement in QHD
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- QHD - scattering of quarks, antiquarks and gluons at high energies:
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formation of QHD resonances :
- formation of QHD resonances : ~ 1 TeV
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QHD resonances L H C
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