Power suppressed operators and gauge invariance in soft-collinear effective theory

2003/03/31 by C. Bauer, Christian W. Bauer, Dan Pirjol +1 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Effective field theory #Gauge (firearms) #Gauge boson #Gauge fixing #Gauge theory #Introduction to gauge theory #Invariant (physics) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Power (physics) #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Theoretical physics #hep-ph

paper · pdf · doi:10.1103/physrevd.68.034021

published as Phys.Rev. D68 (2003) 034021 · 15 pages, journal version

arxiv created 2003/07/10 · openalex publication_date 2003/08/28 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The form of collinear gauge invariance for power suppressed operators in the soft-collinear effective theory (SCET) is discussed. Using a field redefinition we show that it is possible to make any power suppressed ultrasoft-collinear operators invariant under the original leading order gauge transformations. Our manipulations avoid gauge fixing. The Lagrangians to O(\ensuremathλ²) are given in terms of these new fields. We then give a simple procedure for constructing power suppressed soft-collinear operators in SCET_II by using an intermediate theory SCET_I.

Citations

• Factorization, effective field theory, and decays
• An effective field theory for collinear and soft gluons: Heavy to light decays
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