6 lectures (12 hours in total), course beginning on April 7 2011
We shall pass through the motivation for extending the SU(3)xSU(2)xU(1) gauge symmetry of the Standard model of particle physics to larger simple or semi-simple gauge groups, leading to two basic classes of unified frameworks - the SU(5) GUTs and the left-right symmetric models involving the Pati-Salam and SO(10) scenarios. We shall discuss some of the consequences of such "unified" theories, e.g., the weak mixing angle determination, baryon number non-conservation and/or correlations between Yukawa couplings at a high scale and their implications for neutrino masses and lepton mixing. We shall also discuss the hierarchy problem and the role of supersymmetry in Grand unifications.
Reading:
P.Langacker, Phys.Repts. 72 (1981)
R.Slansky, Phys.Repts. 79 (1981)
D.Bailin, A.Love, SUSY gauge field theories and string theory, ISBN 0750-302674
G.G.Ross, Grand Unified Theories, 1984, ISBN 0805-369678
R.N.Mohapatra, Unification & Supersymmetry, 1986/92, ISBN 0378-955348
We shall pass through the motivation for extending the SU(3)xSU(2)xU(1) gauge symmetry of the Standard model of particle physics to larger simple or semi-simple gauge groups, leading to two basic classes of unified frameworks - the SU(5) GUTs and the left-right symmetric models involving the Pati-Salam and SO(10) scenarios. We shall discuss some of the consequences of such "unified" theories, e.g., the weak mixing angle determination, baryon number non-conservation and/or correlations between Yukawa couplings at a high scale and their implications for neutrino masses and lepton mixing. We shall also discuss the hierarchy problem and the role of supersymmetry in Grand unifications.
Reading:
P.Langacker, Phys.Repts. 72 (1981)
R.Slansky, Phys.Repts. 79 (1981)
D.Bailin, A.Love, SUSY gauge field theories and string theory, ISBN 0750-302674
G.G.Ross, Grand Unified Theories, 1984, ISBN 0805-369678
R.N.Mohapatra, Unification & Supersymmetry, 1986/92, ISBN 0378-955348