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Course, academic year 2018/2019
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Beyond Standard Model Physics II - NJSF140
Title in English: Částicová fyzika za standardním modelem II
Guaranteed by: Institute of Particle and Nuclear Physics (32-UCJF)
Faculty: Faculty of Mathematics and Physics
Actual: from 2015
Semester: summer
E-Credits: 4
Hours per week, examination: summer s.:2/1 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: Ing. Michal Malinský, Ph.D.
Annotation -
Last update: T_UCJF (09.04.2013)
In the summer semester we shall initially focus on supersymmetry as another widely popular area of the BSM physics, discuss its basic structure, model building strategies as well as its basic phenomenological aspects. Then we shall inspect in some detail the minimal potentially realistic supersymmetric extension of the Standard Model, the Minimal Supersymmetric Standard Model, MSSM.
Course completion requirements - Czech
Last update: doc. Mgr. Milan Krtička, Ph.D. (10.06.2019)

Složení ústní zkoušky.

Literature -
Last update: T_UCJF (19.04.2013)
[1] R.Slansky, Phys.Repts. 79 (1981)

[2] P.Langacker, Phys.Repts. 72 (1981)

[3] H. Georgi, Lie algebras in particle physics ISBN 0738202339

[4] S.Weinberg, Introduction to Quantum field theory ISBN 0521550025

[5] S. Coleman, Aspects of symmetry ISBN 0521267064

[6] R. Bertlmann, Anomalies in quantum field theory ISBN 0198520476

[7] M. Peskin, D. Schroeder, Introduction to Quantum field theory ISBN 0201503972

[8] G.G.Ross, Grand Unified Theories, 1984, ISBN 0805-369678

[9] R.N.Mohapatra, Unification & Supersymmetry, 1986/92, ISBN 0378-955348

[10] D.Bailin, A.Love, SUSY gauge field theories and string theory, ISBN 0750-302674

[11] R.N.Mohapatra, P.B.Pal, Massive neutrinos in Physics and Astrophysics, ISBN 9812380701

[12] S. Martin, Supersymmetry primer, hep-ph/9709356

Requirements to the exam - Czech
Last update: doc. Mgr. Milan Krtička, Ph.D. (10.06.2019)

Požadavky ke zkoušce odpovídají sylabu předmětu v rozsahu prezentovaném na přednášce.

Syllabus -
Last update: T_UCJF (19.04.2013)
I. Supersymmetry - theoretical foundations [10,12]
⁃ the historical SUSY motivation

⁃ two-component spinors

⁃ dotted and undotted indices

⁃ SUSY transformations

⁃ the minimal Wess-Zumino model

⁃ the minimal SUSY algebra and its representations

⁃ the superfields and their components

II. Supersymmetry - basic model building [10,12]
⁃ The SUSY lagrangians

⁃ The F- and D-term contributions to the scalar potential

⁃ SUSY gauge interactions

III. Minimal supersymmetric standard model [10,12]
⁃ MSSM definition in the current basis

⁃ Basic MSSM degrees of freedom, the need for two doublets

⁃ Soft SUSY-breaking terms

⁃ Flavour structure of the MSSM

IV. The basic MSSM phenomenology [10,12]
⁃ R-parity conservation/violation

⁃ Anomalous magnetic moments and electric dipole moments in the MSSM

⁃ the flavour and CP issues in the MSSM, lepton flavour violation

⁃ basic MSSM collider phenomenology

⁃ dark matter in the MSSM

V. Running couplings in SUSY [4,7]
⁃ SUSY gauge running

⁃ Weak mixing angle in the SUSY GUTs

⁃ Radiative symmetry breaking in SUSY

⁃ mSUGRA ansatz

⁃ soft invariants (time permitting)

VI. Supersymmetric GUTs [9,10]
⁃ Gauge unification failure in minimal SU(5)

• A simple extension with matter in the adjoint representation

⁃ General aspects of GUTs in SUSY

⁃ The minimal SUSY SU(5) GUT

• Structure - the extra Higgs multiplet

⁃ Proton decay in SUSY

• d=5 Higgsino mediated operators, preference of kaons in the final state

⁃ The trouble with the minimal SUSY SU(5) (proton decay, neutrino sector)

VII. SO(10) GUTs [1,2,3,6,8,9,11]
⁃ U(1)B-L [ x SU(2)R ] as a gauge symmetry

• The neutrino mass scale origin

• Pati-Salam symmetry and lepton number as a fourth colour

⁃ SO(10) GUTs

• Spinors & tensors of SO(10)

• SO(10) in SU(5) and Pati-Salam language

• SUSYx non-SUSY setting

• Renormalizable x non-renormalizable seesaw

• Proton decay in SUSY x non-SUSY SO(10) (d=4, d=5 operators)

VIII. Exotics (time permitting) [4,5,7]
⁃ Classical non-perturbative solutions & spontaneously broken gauge theories

• Soliton in phi^4 in 1+1 dimensions

• The Derrick's theorem and the need for gauge fields

• Nielsen-Olessen vortex in 2+1 dimensions, topological charges

• t'Hooft-Polyakov monopole in 3+1 dimensions, the Georgi-Glashow SU(2) model

⁃ Monopoles in GUTs and their classification, the first and second homotopy classes

⁃ The Callan-Rubakov proton decay catalysis in presence of monopoles

⁃ Monopoles & inflation

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