THEORY OF FUNDAMENTAL INTERACTIONS

Second cycle degree in FISICA (discontinued)

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.