Standard model and beyond

12 Nov 2024 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

Introduzione al Modello Standard. Interazione di Fermi, corrente carica, decadimento beta del neutrone e violazione di parità, integrale funzionale e Lagrangiana effettiva, W come mediatore e limite di bassa energia.

13 Nov 2024 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

Costruzione della Lagrangiana di gauge, teorie non abeliane, correnti neutre, contenuto di materia del SM, ipercarica ed estensioni del gruppo di gauge, rappresentazioni chirali e spinori a 2 componenti (cenni). Interazioni fra bosoni di gauge e fermioni nel SM.

18 Nov 2024 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

Teorie chirali e teorie vettoriali. Lagrangiana di gauge del Modello Standard, angolo di mixing elettrodebole, fotone e bosone Z. Elettrodinamica scalare, rottura di simmetria e meccanismo di Higgs abeliano, bosoni di Goldstone, identità di Ward e propagatore trasverso, gauge unitaria e xi-gauge.

20 Nov 2024 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

Rottura di simmetria in gauge generica, mescolamento fra bosoni di gauge e bosoni di Goldstone, meccanismo di Higgs non abeliano, quantizzazione di teorie non-abeliane con rottura di simmetria. Il settore di Higgs del Modello Standard, generatori rotti e masse dei bosoni di gauge, accoppiamenti del bosone di Higgs.

25 Nov 2024 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

Simmetrie globali del SM: numero barionico, numero leptonico, flavor. Interazioni di Yukawa, numero barionico e leptonico assiale, masse dei fermioni. Potenziale di Higgs e simmetria custodiale.

27 Nov 2024 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

Simmetrie globali del settore di Higgs, simmetria custodiale e parametro rho, rottura della simmetria custodiale e masse dei bosoni di gauge. Parametri del Modello Standard al tree-level, polarizzazione del vuoto e running della costante di struttura fine, relazioni di dispersione, g-2 leptonico e sezione d'urto e+e- in adroni.

02 Dec 2024 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

Determinazioni dei parametri del SM a bassa energia: accoppiamenti vettoriale e assiale della Z, scattering neutrino-elettrone e correnti neutre, annichilazione e+e- > µ+µ- (sezione d'urto e asimmetria FB), violazione di parità in fisica atomica e carica debole dell'atomo.

04 Dec 2024 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

LEP physics. e+e- > ff cross-sections, radiative corrections and pseudo-observables, improved Born approximation, Effective vector and axial couplings, effective mixing angle and rho parameter. Z-pole observables: total cross-section, FB and polarization asymmetries, partial decay widths, rates and asymmetries, flavor universality.

09 Dec 2024 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

One-loop corrections in the SM. Vacuum polarizations, vertex corrections, muon decay. Corrections to rho and kappa parameters, W boson mass at 1 loop. Custodial symmetry and corrections to rho parameter from top and Higgs loops, indirect determination of SM parameters.

11 Dec 2024 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

Z-pole physics, indirect determination of top, W, and Higgs masses, Altarelli-Barbieri epsilon parameters. Vacuum polarizations, oblique corrections and S, T, U parameters, W, Y and their symmetries. Low-energy expansion and EFT formalism.

16 Dec 2024 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

The SM as an effective theory, SMEFT, classification of operators of dimension higher than 4, strong CP problem. The hierarchy problem of the SM, relevant operators and power corrections. 1-loop corrections to EW precision tests, IR logarithms, running and mixing of operators.

15 Jan 2025 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

LEP2 at the WW threshold, measurement of the W mass and triple gauge coupling. Higgs boson phenomenology: Higgs decays into fermions and vector bosons at tree-level, goldstone boson equivalence theorem. Loop decays of the Higgs boson: photons and gluons, dependence on the quark mass, heavy top limit.

20 Jan 2025 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

Higgs couplings at one-loop: soft theorem, decay into photons, relation with beta function. Higgs production at lepton colliders, higgs production at hadron colliders. Vector boson fusion, effective vector approximation, splitting functions for longitudinal and transverse vectors.

27 Jan 2025 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

VBF cross-section for Higgs production, splitting functions and PDF, soft and collinear logarithms. IR divergences in QED, collinear divergences, jets in QCD. 2-jet and 3-jet cross-section at NLO in QCD, single and double logarithms, Sterman-Weinberg jets, total hadronic cross-section.

29 Jan 2025 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

The Higgs as a composite pseudo-Goldstone boson. Unitarity of pion scattering, the Chiral Lagrangian, Lagrangian of a scalar Higgs particle and modified couplings. The hierarchy problem of the SM and composite Higgs. Minimal Composite Higgs SO(5)/SO(4), vacuum misalignment, form factors, vector boson masses, Higgs couplings, EWPT. The Higgs potential from loop corrections and fine-tuning.

03 Feb 2025 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

The flavor sector of the SM. Yukawa interactions, flavor symmetry, the CKM matrix and its physical parameters. Standard and Wolfenstein parametrizations. Unitarity constraints, the unitarity triangle of the CKM, CP violation and the Jarlskog invariant. Tree-level determinations of the CKM parameters.

05 Feb 2025 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

Determinations of the CKM parameters at one loop. CP violation in mixing, decay, and interference. Mixing and oscillations of neutral mesons, CP asymmetries. The Kaon system, CP violation, the epsilon parameters. B mesons, mass difference, S_psiK and the angle beta, the CKM unitarity triangle fit.

10 Feb 2025 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

Delta F = 2 processes in the Stadard Model. Calculation of the box diagrams, CKM unitarity, the GIM mechanism, K mass difference and CP violation, B mixing in the gauge-less limit.

12 Feb 2025 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

The weak effective Lagrangian, flavor physics in the context of SMEFT, minimal flavor violation, running and matching of effective operators, one-loop matching of Delta F = 1 operators, anomalous dimension and RG-improvement.

17 Feb 2025 (2h 00m)

DARIO Buttazzo - Course (teaching activity) - Face to face

Chiral anomalies. Anomaly cancellation in the Standard Model, charge quantization, baryon and lepton number. Grand unified theories, SU(5), Pati-Salam, SO(10), proton decay.