SU(5) - Institute of Particle and Nuclear Physics
SU(5) - Institute of Particle and Nuclear Physics
SU(5) - Institute of Particle and Nuclear Physics
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Building the Fermion Multiplets IFermions in the SM (1 family):⎛u c ⎞ ⎛d c ⎞ ⎛u⎞ ⎛d⎞ν c e c eu c d c u d<strong>SU</strong>(3) ⎝ Cu c ⎠ ⎝d c ⎠ ⎝u⎠⎝d⎠ ν L e L e Ru c d c u d<strong>SU</strong>(2) L⎛⎝ ucu cu c(ucd c )U(1) Y16Tricks⎞d cd c ⎠d cu⎛ ⎞u⎝u⎠ud⎛ ⎞d⎝d⎠d(ecν c )(ecν c )23− 1 3− 1 2−11. Use right-h<strong>and</strong>ed fields only. (apply charge conjugation)2. Reverse order <strong>of</strong> lepton doublet. (multiply by iσ 2 )ee
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