Introduction to Theory of Electroweak Interactions
Code  Completion  Credits  Range 

02ZELW  Z,ZK  6  3P+2C 
 Vztahy:
 In order to register for the course 02ZELW, the student must have successfully completed or received credit for and not exhausted all examination dates for the course 02KTPA1. The course 02ZELW can be graded only after the course 02KTPA1 has been successfully completed.
 Garant předmětu:
 Boris Tomášik
 Lecturer:
 Jana Bielčíková, Boris Tomášik
 Tutor:
 Miroslav Myška
 Supervisor:
 Department of Physics
 Synopsis:

The goal of these lectures is to acquire knowledge about theory of weak interaction from Fermi theory of decay,
introduction of charged intermediate vector boson to unification of electromagnetic and weak interaction in the framework of Standard model including Higgs mechanism. Short student presentations dedicated to experimental discoveries related to the topics covered in the lectures (such as first measurements of W and Z gauge bosons, Higgs boson discovery) are envisioned.
 Requirements:

subatomic physics (02SF), quantum field theory (02KTPA12)
 Syllabus of lectures:

1. betadecay (kinematics, Fermi theory of decay, generalized Fermi theory and parity violation, electron spectrum,
electronantineutrino correlation, longitudinal polarization of electrons, neutrino helicity, VA coupling
constants, mean lifetime of neutron, difficulties of Fermi theory)
2. Universal VA theory (2component neutrino, left handed chiral leptons, muon decay, universal interaction of
VA currents, Cabibbo angle and selection rules for strangeness, pion decays, C, P and CP symmetries)
3. Intermediate vector boson W (motivation for W boson introduction, simple IVB model and electromagnetic
interaction of W bosons, difficulties of IVB model)
4. Gauge invariance and YangMills field (Abelian gauge invariance, NonAbelian gauge invariance)
5. Electroweak unification and gauge symmetry (SU(2)xU(1) gauge theory for leptons, charged current weak
interaction, electromagnetic interaction, unification condition and Wboson mass, weak neutral currents,
neutrinoelectron scattering, interactions of vector bosons, cancellation of leading divergences)
6. Higgsmechanismformasses(Goldstonemodel,AbelianHiggsmodel,HiggsmechanismforSU(2)xU(1)gauge theory, Higgs boson interactions, Yukawa coupling and lepton masses, HiggsYukawa mechanism and parity
violation)
7. Standard model of electroweak interactions (leptons, 4th quark and GIM construction, CKM matrix, basics of
ABJ anomaly)
 Syllabus of tutorials:

Solving exercises on the following topics:
1. Neutron beta decay. Fermi theory.
2. Parity nonconservation.
3. Theory of 2component neutrino. Weyl's equation.
4. Muon decay.
5. Weak hyperon decays. The Cabbibo angle.
6. Weak interactions of quarks and leptons.
7. Model with charged intermediate vector boson W.
8. The idea of unification of weak and elekctromagnetic interactions.
9. NonAbelian gauge invariance and the YangMills field.
10. Spontaneous breaking of symmetry and Goldstone's boson.
11.12. Standard model of electroweak interactions proposed by Glashow, Weinberg and Salam.
 Study Objective:

Knowledge:
The goal of these lectures is to acquire basic knowledge on theory of weak interaction, electroweak unification within Standard Model including understanding of the Higgs mechanism.
Skills:
Perform calculations of Feynman diagrams in the theory of electroweak interactions in the first order of perturbation theory.
 Study materials:

Key references:
[1] J. Hořejší, Fundamentals of electroweak theory, Karolinum, 2003
[2] J. Hořejší, Elektroslabé sjednocení a stromová unitarita : nestandardní úvod do standardního modelu, Karolinum,
1993 (in Czech)
Recommended references:
[3] F. Halzen, A.D. Martin, Quarks and Leptons , John Wiley and sons, 1984
 Note:
 Timetable for winter semester 2023/2024:
 Timetable is not available yet
 Timetable for summer semester 2023/2024:
 Timetable is not available yet
 The course is a part of the following study plans:

 Jaderná a částicová fyzika (compulsory course in the program)
 Kvantové technologie (elective course)