Infopaket

Physics of massive neutrinos

ОК 20

Обов’язкова дисципліна для ОП

Second

2023/2024

4 Semester

3

Know the formalism of Dirac, Marjoran and Dirac-Marjoran mechanism for describing massive neutrinos in field theory. Know the concepts of active and sterile neutrinos. Know the laws of conservation of the lepton number and the cases when they are violated. Know the concept of mass and aromatic bases of neutrino states, mixing matrix and its parameterization. Know the current values ​​of the parameters of the mixing matrix of active neutrinos and restrictions on their masses. Know the extension of the Standard model in the neutrino sector, the νMSM model. Apply theoretical material for practical calculations of neutrino oscillations in vacuum, beta decay, double neutrino-free beta decay. Modify the Standard Model to introduce a mass of active neutrinos.

Full-time form

1. To know the basic provisions of KTP, to know the basic provisions of the general theory of relativity, to have basic knowledge of the Standard Model; be able to perform calculations of the main processes of SM. 2. Have basic skills in finding and processing specialized literature, solutions algebraic and differential equations, construction and analysis of graphical dependencies.

Topic 1. Dirac's formalism. Topic 2. Marjoram's formalism. Topic 3. Dirac-Mayoran formalism. Topic 4. Seesaw mechanism. Topic 5. The theory of neutrino oscillations in vacuum. Topic 6. The theory of neutrino oscillations in the medium. Topic 7. beta decay, double neutrino-free beta decay. Topic 8. Cosmological manifestations of neutrino mass. Topic 9. Neutrino modification of CM (νMSM). Topic 10. Solving the problem of baryon asymmetry and the problem of dark matter in the νMSM model.

1. Вільчинський С.Й., Горкавенко В.М., “Вступ до фізики масивних нейтрино”, К.: Сучасні Печатні Технології "Бавок", Тов., 2010. - 135 с. 2. V.A. Rubakov, D.S. Gorbunov "Introduction To The Theory Of The Early Universe: Hot Big Bang Theory", World Scientific; 2nd edition (June 29, 2017) -- 593 pp. 4. Bilenky S., Petcov S., “Massive neutrinos and neutrino oscillations”, Rew. Mod. Phys. 59, No. 3, Part 1 1987. 5. Elliott S.R., Engel J., “Double Beta Decay”, arXiv:hep-ph/0405078 (2004). 6. Fukugita M. and Yanagida T., "Physics of neutrino and applications to astrophysics", Springer, 2003. 7. Shapochnikov M., “A possible symmetries of the νMSM”, Nucl.Phys.B 763: 49-59, 2007 8 8. Strumia A., Vissani F., “Neutrino masses and mixing and…” arXiv:hep-ph/0606054v3 2010. 9. Roulet E., “Neutrino Astrophysics”, arXiv:astro-ph/0011570 (2000).

Lectures, individual work.

Modular tests, defense of practical work, examination work.

Ukrainian