Introduction to Soft-Collinear Effective Theory

By T. Becher, A. Broggio, A. Ferroglia. 2014

249 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/80ac008b31c4f74776b3c03b7c41df2cdd06c612

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In Nuclear and High Energy Physics

1. A. Larkoski
2. R. Rattazzi
3. C. Frye
4. B. Bellazzini
5. F. Riva
6. K. Yan
7. M. Schwartz
8. M. Riembau

Citations in the corpus

• Factorization for groomed jet substructure beyond the next-to-leading logarithm (2016, methodology): “Alternatively, one can use the method of regions approach [54, 55], or the on-shell phase space approach [56–58].”
• Towards an all-orders calculation of the electroweak bubble wall velocity (2020, background): “(34) could alternatively be obtained by matching the result of the full QFT to the soft limit [26], and by rewriting the factorized form of the matrix element M a→b in Sec.”
• Positive moments for scattering amplitudes (2020, background): “[34]), it is easy to see that these are finite, as the positive powers of collinear momenta associated with the Goldstone derivative interactions always compensate putative divergences in collinear propagators.”