First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
PHYSICS
Course unit
THEORY OF FUNDAMENTAL INTERACTIONS
SC01120613, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2016/17

Information on the course unit
Degree course Second cycle degree in
FISICA
SC1171, Degree course structure A.Y. 2014/15, A.Y. 2017/18
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Degree course track Common track
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination THEORY OF FUNDAMENTAL INTERACTIONS
Website of the academic structure http://fisica.scienze.unipd.it/2017/laurea_magistrale_2014
Department of reference Department of Physics and Astronomy
Mandatory attendance No
Language of instruction English
Branch PADOVA

Lecturers
Teacher in charge PIERPAOLO MASTROLIA FIS/02

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Educational activities in elective or integrative disciplines FIS/02 Theoretical Physics, Mathematical Models and Methods 6.0

Mode of delivery (when and how)
Period First semester
Year 2nd Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
Hours of
Individual study
Shifts
Lecture 6.0 48 102.0 No turn

Calendar
Start of activities 02/10/2017
End of activities 19/01/2018

Syllabus
Prerequisites: This course requires good knowledge of theoretical physics, quantum field theory, and theory of fundamental interactions.
Target skills and knowledge: The lectures are focused on the introduction of modern methods for the evaluation of scattering amplitudes in gauge theories,
and applications to Standard Model phenomenology.
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.
Planned learning activities and teaching methods: Lessons, exercises and homeworks
Textbooks (and optional supplementary readings)
  • M.D. Schwartz, Quantum Field Theory and the Standard Model. --: Cambridge University Press, 2014. Cerca nel catalogo
  • M.E. Peskin, D.V. Schroeder, An Introduction to Quantum Field Theory. --: Addison-Wesley Publishing Company, --. Cerca nel catalogo
  • F. Mandl and G. Shaw, Quantum FIeld Theory. --: Wiley, --. Cerca nel catalogo