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Most of the numerical predictions of experimental phenomena in particle physics over the last decade have been made possible by the discovery and exploitation of the simplifications that can happen when phenomena are investigated on short distance and time scales. This book provides a coherent exposition of the techniques underlying these calculations. After reminding the reader of some basic properties of field theories, examples are used to explain the problems to be treated. Then the technique of dimensional regularization and the renormalization group. Finally a number of key applications are treated, culminating in the treatment of deeply inelastic scattering.

Renormalization (Physics) --- Renormalization group. --- Operator product expansions. --- Particles (Nuclear physics) --- Scattering (Physics) --- Renormalisation (Physique) --- Particules (Physique nucléaire) --- Diffusion (Physique nucléaire) --- Operator product expansions --- Renormalization group --- Atomic scattering --- Atoms --- Nuclear scattering --- Scattering of particles --- Wave scattering --- Collisions (Nuclear physics) --- Particles --- Collisions (Physics) --- Charge and mass renormalization --- Mass and charge renormalization --- Electric charge and distribution --- Mass (Physics) --- Physical measurements --- Quantum field theory --- Group, Renormalization --- Statistical mechanics --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Expansions, Operator product --- Product expansions, Operator --- Operator theory --- Scattering --- Particles (Nuclear physics). --- Renormalization (Physics). --- Scattering (Physics).

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The most non-trivial of the established microscopic theories of physics is quantum chromodynamics, QCD, the theory of the strong interaction. A critical link between theory and experiment is provided by the methods of perturbative QCD, notably the well-known factorization theorems. Giving an accurate account of the concepts, theorems and their justification, this book is a systematic treatment of perturbative QCD. As well as giving a mathematical treatment, the book relates the concepts to experimental data, giving strong motivations for the methods. It also examines in detail transverse-momentum-dependent parton densities, an increasingly important subject not normally treated in other books. Ideal for graduate students starting their work in high-energy physics, it will also interest experienced researchers wanting a clear account of the subject. First published in 2011, this title has been reissued as an Open Access publication on Cambridge Core.

Quantum chromodynamics. --- Perturbation (Mathematics)

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