SU(5) - Institute of Particle and Nuclear Physics

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Breaking SU(5)Goal:Use well-known Higgs mechanism from SM to break the SU(5) symmetry.Breaking Chain:SU(5) Φ −→ SU(3) C× SU(2) L× U(1) Y−→ SU(3) C× U(1) em.◮ minimal choice: 24◮ adjoint representation◮ hermitian 5 × 5 matrices◮ very heavy at SU(5) scale
Breaking SU(5)Goal:Use well-known Higgs mechanism from SM to break the SU(5) symmetry.Breaking Chain:SU(5) −→ Φ HSU(3) C× SU(2) L× U(1) Y −→ SU(3)C × U(1) em.◮ minimal choice: 24◮ adjoint representation◮ hermitian 5 × 5 matrices◮ very heavy at SU(5) scale◮ minimal choice: 5◮ compatible with SM breaking◮ comprises usual Higgs doublet◮ splits into one heavy and one light part (see later)
Page 4 and 5: MotivationWhy GUTs?◮ SM is a very
Page 6 and 7: Embedding the Gauge GroupSM gauge g
Page 12: Embedding the Gauge GroupSM gauge g
Page 16 and 17: Building the Fermion Multiplets IFe
Page 18 and 19: Building the Fermion Multiplets IFe
Page 20 and 21: Building the Fermion Multiplets IIS
Page 22 and 23: Building the Fermion Multiplets IIS
Page 24 and 25: Breaking SU(5)Goal:Use well-known H
Page 28 and 29: Potential for the HiggsesW = m 2 H
Page 34 and 35: Choosing the Vacuum Expectation Val
Page 36 and 37: Choosing the Vacuum Expectation Val
Page 38 and 39: Minimizing the Higgs PotentialProce
Page 40 and 41: Minimizing the Higgs PotentialProce
Page 42 and 43: Masses of HiggsesProcedure1. Evalua
Page 44 and 45: Remarks◮ minimal SU(5) gives SM l
Page 46 and 47: Adding SupersymmetryMotivation◮ e
Page 48 and 49: ResultsMinimalisation Conditions:
Page 50 and 51: Summary◮ GUT theories provide a p
Page 52: Feynman Diagrams for Proton Decayno

SU(5) - Institute of Particle and Nuclear Physics

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