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From Spinors to Supersymmetry

£74.99

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  • Date Published: June 2023
  • availability: Available
  • format: Hardback
  • isbn: 9780521800884

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  • Supersymmetry is an extension of the successful Standard Model of particle physics; it relies on the principle that fermions and bosons are related by a symmetry, leading to an elegant predictive structure for quantum field theory. This textbook provides a comprehensive and pedagogical introduction to supersymmetry and spinor techniques in quantum field theory. By utilising the two-component spinor formalism for fermions, the authors provide many examples of practical calculations relevant for collider physics signatures, anomalies, and radiative corrections. They present in detail the component field and superspace formulations of supersymmetry and explore related concepts, including the theory of extended Higgs sectors, models of grand unification, and the origin of neutrino masses. Numerous exercises are provided at the end of each chapter. Aimed at graduate students and researchers, this volume provides a clear and unified treatment of theoretical concepts that are at the frontiers of high energy particle physics.

    • Contains many detailed examples of practical calculations and derivations of key results, serving as a pedagogical resource as well as a reference
    • Demonstrates the translation between two-component and four-component fermion formalisms, so that the reader can make connections with other texts
    • Provides background for other approaches beyond the Standard Model, with a focus on the seesaw model of neutrino masses, the two Higgs doublet model and grand unification
    • Provides a good basis for an advanced class in particle theory, as well as a useful resource for self-study
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    Reviews & endorsements

    'The new book by Dreiner, Haber, and Martin is a must have for folks who are interested in beyond the Standard Model phenomenology. It contains innumerable lessons for performing quantum field theory calculations both at the conceptual and technical level, by way of many concrete examples within the Standard Model and its supersymmetric extension. I expect this will become a go-to reference for everyone from graduate students to seasoned researchers.' Tim Cohen, CERN/EPFL and the University of Oregon

    'The book gives a self-contained description of the Standard Model of particle physics and its supersymmetric extension. It is well suited for students, as well as experienced researchers in the field. Its unique feature is the comprehensive description of quantum field theory and its application to particle physics in the framework of two-component (Weyl) spinors. This is a cause for celebration as this two-component formulation is the most simple and transparent way to understand the nature of (chiral) fermions, in contrast to the four-component spinor formalism that is presented in a vast majority of textbooks of quantum field theory. The book will be of enormous help to all those that try to teach and try to learn the subject.' Hans-Peter Nilles, Universität Bonn

    'This is a massive, definitive text on phenomenological supersymmetry in quantum field theory by three giants of the field. The book develops two-component spinor formalism and its practical use in amplitude computations with many phenomenological examples up to one loop order. Supersymmetric extensions of the Standard Model are also covered and many other gems besides.' Ben Allanach, University of Cambridge

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    Product details

    • Date Published: June 2023
    • format: Hardback
    • isbn: 9780521800884
    • length: 1025 pages
    • dimensions: 262 x 186 x 59 mm
    • weight: 2.1kg
    • availability: Available
  • Table of Contents

    Preface
    Acknowledgements
    Acronyms and abbreviations
    Part I. Spin-1/2 Fermions in Quantum Field Theory, the Standard Model, and Beyond:
    1. Two-component formalism for spin-1/2 fermions
    2. Feynman rules for spin-1/2 fermions
    3. From two-component to four-component spinors
    4. Gauge theories and the standard model
    5. Anomalies
    6. Extending the standard model
    Part II. Constructing Supersymmetric Theories:
    7. Introduction to supersymmetry
    8. Supersymmetric Lagrangians
    9. The supersymmetric algebra
    10. Superfields
    11. Radiative corrections in supersymmetry
    12. Spontaneous supersymmetry breaking
    Part III. Realistic Supersymmetric Models:
    13. The Minimal Supersymmetric Standard Model
    14. Realizations of supersymmetry breaking
    15. Supersymmetric phenomenology
    16. Beyond the MSSM
    Part IV. Sample Calculations in the Standard Model and Its Supersymmetric Extension:
    17. Practical calculations involving two-component fermions
    18. Tree-level supersymmetric processes
    19. One-loop calculations
    Part V. The Appendices: Appendix A. Notations and conventions
    Appendix B. Compendium of sigma matrix and Fierz identities
    Appendix C. Behavior of fermion bilinears under C, P, T
    Appendix D. Kinematics and phase space
    Appendix E. The spin-1/2 and spin-1 wave functions
    Appendix F. The spinor helicity method
    Appendix G. Matrix decompositions for fermion mass diagonalization
    Appendix H. Lie group and algebra techniques for gauge theories
    Appendix I. Interaction vertices of the SM and its seesaw extension
    Appendix J. MSSM and RPV fermion interaction vertices
    Appendix K. Integrals arising in one-loop calculations
    Bibliography
    References
    Index.

  • Authors

    Herbi K. Dreiner, University of Bonn
    Herbi K. Dreiner is Professor of Physics at the University of Bonn. He received his PhD from the University of Wisconsin, and also worked at the Deutsches Elektronen-Synchrotron (DESY), the University of Oxford, ETH Zürich and the Rutherford Appleton Laboratory. He is the author of over 100 scientific papers on supersymmetry and has received several teaching prizes. He is a founder of the Bonn Physics Show for which he received the European Physical Society High Energy Physics (EPS-HEP) Outreach Prize.

    Howard E. Haber, University of California, Santa Cruz
    Howard E. Haber is a Distinguished Professor of Physics at the University of California, Santa Cruz. He received his Ph.D. from the University of Michigan and is a Fellow of the American Physical Society. He is a co-author of The Higgs Hunter's Guide, published by Perseus Books in 1990. He won an Alexander von Humboldt Research Award in 2009 and was a co-recipient of the 2017 American Physical Society J. J. Sakurai Prize for Theoretical Particle Physics.

    Stephen P. Martin, Northern Illinois University
    Stephen P. Martin is a Professor of Physics at Northern Illinois University, where he received the university's highest award for teaching excellence. He gained his Ph.D. from the University of California at Santa Barbara and is a Fellow of the American Physical Society. He has authored over 100 papers in high-energy physics.

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