An introduction to non-Abelian discrete symmetries for particle physicists / Tatsuo Kobayashi, Hiroshi Oki, Hiroshi Okada, Yusuke Shimizu, Morimitsu Tanimoto.
Kobayashi, Tatsuo, author.; Ōki, Hiroshi, author.; Okada, Hiroshi (Researcher in chemistry), author.; Shimizu, Yusuke, author.; Tanimoto, Morimitsu, author.
2022
QC793.2
Available Online

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Title An introduction to non-Abelian discrete symmetries for particle physicists / Tatsuo Kobayashi, Hiroshi Oki, Hiroshi Okada, Yusuke Shimizu, Morimitsu Tanimoto.
Author Kobayashi, Tatsuo, author.
Edition Second edition.
ISBN 9783662646793 (electronic bk.)
366264679X (electronic bk.)
9783662646786
3662646781
DOI https://doi.org/10.1007/978-3-662-64679-3
Published Berlin : Springer, 2022.
Language English
Description 1 online resource (1 volume) : illustrations (black and white, and colour).
Item Number 10.1007/978-3-662-64679-3 doi
Call Number QC793.2
Dewey Decimal Classification 539.72015122
Summary 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 physicsparticularly model building beyond the standard modelnon-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.
Bibliography, etc. Note Includes bibliographical references,
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Added Author Ōki, Hiroshi, author.
Okada, Hiroshi (Researcher in chemistry), author.
Shimizu, Yusuke, author.
Tanimoto, Morimitsu, author.
Series Lecture notes in physics ; v. 995.
Available in Other Form Introduction to non-Abelian discrete symmetries for particle physicists.
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Introduction
Basics of Finite Groups
SN
AN
5 T
DN
QN
QD2N
Subgroups and Decompositions of Multiplets
Anomalies
Non-Abelian Discrete Symmetry in Quark/Lepton Flavor Models
Modular Group
CP Symmetry
Appendices.

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