THEORY OF FUNDAMENTAL INTERACTIONS

Second cycle degree in FISICA (discontinued)

Campus: PADOVA

Language: English

Teaching period: First Semester

Lecturer: PIERPAOLO MASTROLIA

Number of ECTS credits allocated: 6


Syllabus
Prerequisites: This course requires good knowledge of theoretical physics, quantum field theory, and theory of fundamental interactions.
Examination methods: Oral exams
Course unit contents: - PART I: MODERN METHODS FOR SCATTERING AMPLITUDES
(P. Mastrolia)

1. Unitarity, Optical Theorem, Decay Rates

2. Cutkosky Rules, the Largest Time Equation, Feynman Tree Theorem

3. The Spinor Helicity Formalism

4. On-shell recurrence relation for tree-level amplitudes

5. One-Loop integrals and Integration-by-parts Identities

6. Unitarity-based methods

7. Integrand Reduction method

8. Differential Equations for Feynman Integrals




- PART II: TOPICS IN PRECISION ELECTROWEAK PHYSICS
(M. Passera)

1. Introduction to the quantum corrections: The loop expansion, UV Divergent integrals, Dimensional regularization (DR).

2. Basic loops in QED: The photon self-energy at one-loop in DR, The photon propagator, Renormalization of the electric charge, Example of cancellation of UV divergences, The effective electric charge, Mass renormalization, Wave-function renormalization for the external legs.

3. The electron-photon vertex in QED: Formal structure and one-loop expression, The Dirac and Pauli form factors F_1(q^2) and F_2(q^2).

4. The anomalous magnetic moment of the electron: Preliminary remarks: g=2, The QED contribution, Other contributions and the determination of the fine-structure constant alpha.

5. The anomalous magnetic moment of the muon in the full SM: The QED contribution, The hadronic contribution, The EW contribution, SM prediction vs. experiment.

6. Renormalization of the electroweak theory, Mass renormalization for unstable particles, The On-Shell scheme, The M_W-M_Z relation and Sirlin's Delta r, The MSbar scheme, Introduction to the renormalization group.

7. The SM Higgs boson: Indirect limits from EW precision tests, The LHC discovery.