Electroweak theory

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introduction==
  • Glashow-Weinberg-Salam model
  • doublets of leptons and quarks => SU(2) symmetry
  • W-boson mass causes some trouble
  • Goldston boson
  • Higgs mechanism
   
recipe==
  • start with the local gauge symmetric SU(2) Lagrangian with massless gauge fields
  • introduce the Higgs field
  • break the local gauge symmetry in such a way by a new interaction between the Higgs field and gauge fields so as to generate terms in the Lagrangian that look like mass terms for gauge fields
   
adjoining U(1) symmetry== \(\begin{pmatrix}\gamma \\Z^0 \end{pmatrix} = \begin{pmatrix}\cos \theta_W & \sin \theta_W \\-\sin \theta_W & \cos \theta_W \end{pmatrix} \begin{pmatrix}B^0 \\W^0 \end{pmatrix} \)      
weak interactions==
  • massive gauge bosons 
    • W and Z bosons
   
consequences==
  • neutral currents
  • new mesons
  • parity violating effects
  • W and Z bosons
   
W-boson==
  • massive charged spin 1 boson
   
Z-boson==
  • massive neutral spin 1 boson
   
weak force==
  • neutron beta decay
  • muon decay
  • high-energy neutrino collisions with matter
   
three classes of weak interactions==
  • leptonic reactions
  • semi-leptonic reactions
  • hadronic weak reactions
   
Higgs mechanism==
  • Higges field
    • pervasive universal background field that modifies the simple electroweak gauge theory as the gravitational field caused by mass
  • two initial charged massless weak field W, W^{+}
    • mix with Higgs fields H^{+}, H^{-}
    • W fields get mass
  • two electrically neutral massless fields W^0, G^0
    • mix with neutral Higgs field H^0
    • Z-field massive neutral weak field
  • resulting bosons
    • W - massive charged spin 1
    • Z- massive neutral spin 1 boson
    • photon - massless spin 1
    • Higgs - massive neutral scalar spin 0
   
related items==    
books==    
encyclopedia==    
articles==