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Lecture videos
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Lecture 1
QED versus the four-fermion description of weak interactions, the model with W, parity violation and the need for Z, tree unitarity principle, "shifted" scalar.
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Lecture 2
Why would one formulate a theory in terms of a shifted scalar, symmetric vs. asymmetric vacuum, Goldstone theorem and the Higgs trick, Unitary gauge and the vector boson propagator asymptotics.
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Lecture 3
Renormalizable gauges, xi-independence of measurable quantities (comments on Exercise sheet 1), the abelian Higgs model in the R-xi gauges, the Goldstone propagator, the t'Hooft-Feynman gauge. Running coupling in phi^4 theory and the concept of renormalization group (+ comments on Exercise sheets 2 and 3).
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Lecture 4
Naive and anomalous Ward identities, general chiral transformation, Fujikawa form of the anomalous contribution to the lagrangian density, anomalous terms associated with global chiral transformations and their innocence in the perturbative approach, anomalies associated to local transformations and their potentially fatal impact on the gauge invariance of amplitudes. Pions as Goldstone modes of the spontaneously broken flavor symmetry of QCD.
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Lecture 5
The three three-fold unitary symmetries of 3-flavor QCD, spontaneous breaking of the SU(3)_A x U(1)_A global symmetry by the QCD condensate, QCD phase transition, classification of hadrons in terms of SU(3)_f and U(1)_B, pions as Goldstone modes of SU(2)_V. Effective neutral pion decay lagrangian - the naive version - and its pathologies, anomaly matching and the anomaly-induced neutral pion decay lagrangian.
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Lecture 6
Local anomalies in the SM - (hyper)charge quantization, neutrality of neutrons. Evidence of non-zero neutrino masses: neutrino flavor oscillations. Adding a RH neutrino to the SM, Dirac mass, smallness of Dirac neutrino Yukawa couplings. SM hypercharge dequantization with Dirac neutrinos.
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Lecture 7
B and L as accidental global anomalous symmetries in the SM. Gaugeability of B-L and its relation with hypercharge dequantization in the Dirac neutrino case. Smallness of Yukawa couplings. Majorana fermions.
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Lecture 8
Majorana fermions II. Majorana mass term for the RH neutrino, its natural size, seesaw mechanism, light and heavy Majorana neutrinos. Hypercharge quantization restoration in the SM extension with massive Majorana neutrinos.
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Lecture 9
Anatomy of the type-I seesaw formula, symmetry of the Majorana neutrino mass matrix, large new physics scale. Indication of a large new physics scale from the gauge couplings' evolution in the Standard Model.
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Lecture 10
Flavour aspects of models with Majorana neutrinos. Rare processes featuring lepton flavor violation (e.g., mu to e+photon). CP violation in models with Majorana neutrinos.
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Lecture 11
Perturbative lepton number violation in the seesaw model, neutrinoless double-beta decay. Baryon number problem of the Standard Model (the fate of baryons in the early Universe).
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Lecture 12
Early Universe baryon chemistry, neutron to proton number density ratio evolution (neutrino decoupling, deuterium bottleneck), nucleosynthesis. Primordial deuterium abundance as a tool to measure baryon to photon number density ratio. B-symmetric initial conditions and the 9-orders of magnitude failure of the SM. Asymmetric initial state? Sacharov's conditions for baryogenesis. Baryogenesis failure in the SM.
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Lecture 13
Baryogenesis through leptogenesis in the seesaw model, Cassas-Ibarra parametrization, Davidson-Ibarra limit on the mass of the lightest RH neutrino.
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Lecture 14
Dimension 5 Weinberg's operator as an effective low-energy description of a high-scale RH neutrino dynamics. Alternative "openings" of the Weinberg's operator. Type-II and type-III seesaw models and their salient features.
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