616SM - MODELLO STANDARD DELLE INTERAZIONI FONDAMENTALI 2025
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Schema della sezione
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Exams will be held on
- 12/06/2026, 9:45am
- 06/07/2026, 10am
- 20/07/2026, 10am
at ICTP, room 204.
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Books on the Standard Model
- Grossman & Nir - The Standard Model
The main reference in terms of how the course will be structured. Also available online in a pre-publication version https://www.classe.cornell.edu/~yuvalg/GNB/GNB-master-03302022.pdf - Marco Fabbrichesi - The Standard Model
a different way of introducing the subject, very deep and with illuminating examples
The SM Lagrangian and its Feynman rules
- Romao & Silva's "A resource for signs and Feynman diagrams of the Standard Model" is an invaluable resource because it carefully tracks all the convention-dependent factors, especially those elusive minus signs that cause so many headaches during calculations.
https://arxiv.org/abs/1209.6213 - For how to compute the Feynman rule for a generic vertex see the attached note
Books on QFT
- Schwartz - Quantum Field Theory and the Standard Model
My favourite QFT book, at the right level for undergraduate studies. - Peskin & Schroeder - An Introduction to Quantum Field Theory
Simply the classic, since 30 years. Unbeatable when it comes to calculations and phenomenological applications.
Other readings
- https://arxiv.org/abs/2501.10233
Historical perspective. It helps to understand why things are presented the way they are, and to appreciate their complexity. The SM, seen from the bottom-up perspective of a physicist in the 70ies, appears even more beautiful than today. - https://www.slac.stanford.edu/econf/C0907232/pdf/001.pdf
http://www.damtp.cam.ac.uk/user/tong/sm/standardmodel.pdf
nice sets of lecture notes - https://cds.cern.ch/record/454171/files/p53.pdf
An introduction to perturbative effects in QCD
- Grossman & Nir - The Standard Model
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- Introduction to the course (see attached slides)
- Spinor representations
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- Weil spinors and their properties
- Dirac spinors from Weil ones and viceversa
- Chirality vs. helicity
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- Spinor solutions of the Dirac equations
- Discrete spacetime symmetries
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- Internal symmetries
- Z_2 symmetry
- Global U(1) symmetry
- Charges
- Symmetries and fermion masses
- Local ("gauge") abelian symmetry
- Scalar QED Lagrangian
- QED Lagrangian
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- QED
- Interactions and Feynman rules
- e+e- --> mu+mu-
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S matrix, cross sections and decay rates
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- e+ e- --> mu+ mu-
- Important scattering processes: Rutherford, Compton
- Ward identity
- Photon polarization sum
- Radiative corrections: introduction
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- Renormalization of QED
- IR divergencies
- Non-Abelian symmetries
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- Recap of group theory
- Global non-Abelian symmetries
- Quantization and Feynman rules
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- Quarks, gluons and their properties
- Beta function of QCD
- Mesons and baryons
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- Discrete Z2 symmetry
- Global continuous symmetries
- Nambu-Goldstone bosons and Goldstone theorem
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- Quark model
- Symmetries of QCD and hadrons
- SSB: pions and K's as Goldstone bosons
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- Spontaneous breaking of a gauge symmetry
- The Abelian Higgs mechanism
- Massive vectors from SSB
- Introduction to the EW theory
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- The four main ingredients: The gauge group, Fermionic representations, Scalar sector, SSB pattern.
- Spectrum of gauge bosons, charges and interactions
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- Partial wave unitarity
- Goldstone boson equivalence
- Yukawa matrices and physical parameters
- Mass vs. flavour basis
- Lepton interactions are diagonals
- Quark masses
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- Quark masses
- Neutral current weak interactions
- Charged current interactions
- CKM matrix
- Unitarity triangle
- CKM phases and CP violation
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- CP violation
- No FCNC at tree level in the SM
- Colliders
- Breit-Wigner formula
- Massive vectors: propagators and polarizations
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- W, Z, h, t at colliders
- QCD and the parton model: elastic e-p scattering
- Deep inelastic e-p scattering
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- DIS
- Parton distribution functions
- DGLAP equations
- Parton shower and hadronization
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- Weak decay of hadrons: meta-stable particles and unstable resonances
- Factorization into weak and strong amplitudes
- Pion decay constant
- Kaon form factor
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- GIM mechanism
- FNCN decays
- Neutral meson systems: K0, B0, B0s, D0
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- Majorana fermions
- Majorana masses
- The Weinberg operator for neutrino masses
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- Majorana masses from the Weinberg operator
- Neutrino interactions
- PMNS matrix
- Values of neutrino masses
- Flavour changing processes: mu to e gamma, neutrinoless double beta decay
- Energy scale of a UV completion
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- See-saw mechanism
- Neutrino oscillations