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An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists by Tatsuo Kobayashi ISBN-10: 3662646781 ISBN-13: 978-3662646786, 9783662646786 ASIN: B09TDF27DL

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(Lecture Notes in Physics, 995) 2nd ed. Edition
by Tatsuo  Kobayashi (Author), Hiroshi Ohki (Author), Hiroshi Okada (Author),  Yusuke Shimizu (Author), Morimitsu Tanimoto (Author)
This lecture  note provides a tutorial review of non-Abelian discrete groups and  presents applications to particle physics where discrete symmetries  constitute an important principle for model building. While Abelian  discrete symmetries are often imposed in order to control couplings for  particle physics―particularly model building beyond the standard  model―non-Abelian discrete symmetries have been applied particularly to  understand the three-generation flavor structure. The non-Abelian  discrete symmetries are indeed considered to be the most attractive  choice for a flavor sector: Model builders have tried to derive  experimental values of quark and lepton masses, mixing angles and CP  phases on the assumption of non-Abelian discrete flavor symmetries of  quarks and leptons, yet lepton mixing has already been intensively  discussed in this context as well. Possible origins of the non-Abelian  discrete symmetry for flavors are another topic of interest, as they can  arise from an underlying theory, e.g., the string theory or  compactification via orbifolding as geometrical symmetries such as  modular symmetries, thereby providing a possible bridge between the  underlying theory and corresponding low-energy sector of particle  physics
The book offers explicit introduction to the group  theoretical aspects of many concrete groups, and readers learn how to  derive conjugacy classes, characters, representations, tensor products,  and automorphisms for these groups (with a finite number) when algebraic  relations are given, thereby enabling readers to apply this to other  groups of interest. Further, CP symmetry and modular symmetry are also  presented

Year: 2022
Pages: 353
Language: English
Format: PDF
Publisher: Springer
ISBN-10: 3662646781
ISBN-13: 978-3662646786, 9783662646786