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STUDY PLANS
2023/2024
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Introduction to Theory of Electroweak Interactions

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Code Completion Credits Range
02ZELW Z,ZK 6 3P+2C

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. beta-decay (kinematics, Fermi theory of -decay, generalized Fermi theory and parity violation, electron spectrum,

electron-antineutrino correlation, longitudinal polarization of electrons, neutrino helicity, V-A coupling

constants, mean lifetime of neutron, difficulties of Fermi theory)

2. Universal V-A theory (2-component neutrino, left handed chiral leptons, muon decay, universal interaction of

V-A 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 Yang-Mills field (Abelian gauge invariance, Non-Abelian 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 W-boson mass, weak neutral currents,

neutrino-electron 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, Higgs-Yukawa 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 non-conservation.

3. Theory of 2-component 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. Non-Abelian gauge invariance and the Yang-Mills 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, electro-weak 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:
Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2024-03-27
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