From Spinors to Supersymmetry

A comprehensive and pedagogical introduction to supersymmetry for graduate students and researchers in high energy particle physics.

Herbi K. Dreiner (Author), Howard E. Haber (Author), Stephen P. Martin (Author)

9780521800884, Cambridge University Press

Hardback, published 8 June 2023

1025 pages
25.4 x 17.8 x 5.4 cm, 2.254 kg

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.

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.

Subject Areas: Mathematical physics [PHU], Quantum physics [quantum mechanics & quantum field theory PHQ], Particle & high-energy physics [PHP]