
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
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. Onshell recurrence relation for treelevel amplitudes
5. OneLoop integrals and Integrationbyparts Identities
6. Unitaritybased 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 selfenergy at oneloop in DR, The photon propagator, Renormalization of the electric charge, Example of cancellation of UV divergences, The effective electric charge, Mass renormalization, Wavefunction renormalization for the external legs.
3. The electronphoton vertex in QED: Formal structure and oneloop 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 finestructure 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 OnShell scheme, The M_WM_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. 

