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 IISM multiplets:⎛⎝u cu cu c16⎞d cd c ⎠d c⎛ ⎞dd<strong>SU</strong>(5) multiplets: 5:⎜ d⎟⎝e c ⎠ν c⎛ ⎞u⎝u⎠u⎛ ⎞d⎝d⎠d(ecν c )23− 1 3− 1 2−1⎛⎞0 u −u −u c −d c10: −u 0 u −u c −d c⎜ u −u 0 −u c −d c⎟⎝ u c u c u c 0 −e ⎠d c d c d c e 0e◮ 5 SM multiplets are sorted to 2 <strong>SU</strong>(5) multiplets◮ transformation according to gauge group◮ right SM quantum numbers◮ unification <strong>of</strong> particle properties within one multiplet(mass, Yukawa couplings)
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