The Standard Model is the foundation of modern particle and high energy physics. This book
explains the mathematical background behind the Standard Model translating ideas from physics
into a mathematical language and vice versa. The first part of the book covers the mathematical
theory of Lie groups and Lie algebras fibre bundles connections curvature and spinors. The
second part then gives a detailed exposition of how these concepts are applied in physics
concerning topics such as the Lagrangians of gauge and matter fields spontaneous symmetry
breaking the Higgs boson and mass generation of gauge bosons and fermions. The book also
contains a chapter on advanced and modern topics in particle physics such as neutrino masses
CP violation and Grand Unification. This carefully written textbook is aimed at graduate
students of mathematics and physics. It contains numerous examples and more than 150 exercises
making it suitable for self-study and use alongside lecture courses. Only a basic knowledge of
differentiable manifolds and special relativity is required summarized in the appendix.
