Introduction to Soft-Collinear Effective Theory electronic resource by Thomas Becher, Alessandro Broggio, Andrea Ferroglia.
Material type: TextSeries: Lecture Notes in PhysicsPublication details: Cham : Springer International Publishing : Imprint: Springer, 2015Description: XI, 206 p. 64 illus., 50 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319148489Subject(s): physics | Quantum field theory | String theory | Elementary particles (Physics) | Physics | Elementary Particles, Quantum Field Theory | Quantum Field Theories, String TheoryDDC classification: 539.72 LOC classification: QC793-793.5QC174.45-174.52Online resources: Click here to access onlineFrom the Contents: Introduction -- The Strategy of Regions -- Scalar SCET -- Generalization to QCD -- Resummation by RG Evolution -- Threshold Resummation in Drell-Yan Production -- Transverse Momentum Resummation -- n-Jet Processes and IR Divergences of Gauge Theory Amplitudes -- Applications of SCET -- Summary of Notations and Conventions -- One-Loop Integrals -- Inverse Derivative Operator -- Wilson Lines and Gauge Transformations -- Momentum-Space Feynman Rules for Soft Wilson Lines -- Decoupling Transformation and the Gluon Kinetic Term -- Integrals for Transverse PDFs at NLO -- Color Space Formalism -- Anomalous Dimensions.
Among resummation techniques for perturbative QCD in the context of collider and flavor physics, soft-collinear effective theory (SCET) has emerged as both a powerful and versatile tool, having been applied to a large variety of processes, from B-meson decays to jet production at the LHC. This book provides a concise, pedagogical introduction to this technique. It discusses the expansion of Feynman diagrams around the high-energy limit, followed by the explicit construction of the effective Lagrangian - first for a scalar theory, then for QCD. The underlying concepts are illustrated with the quark vector form factor at large momentum transfer, and the formalism is applied to compute soft-gluon resummation and to perform transverse-momentum resummation for the Drell-Yan process utilizing renormalization group evolution in SCET. Finally, the infrared structure of n-point gauge-theory amplitudes is analyzed by relating them to effective-theory operators. This text is suitable for graduate students and non-specialist researchers alike as it requires only basic knowledge of perturbative QCD.
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