Matching factors forΔS=1four-quark operators in RI/SMOM schemes

2011/04/26 by Christoph Lehner, Christian Sturm · 40 citations
Mathematics · Physics and Astronomy · #Algorithm #Artificial intelligence #Black Holes and Theoretical Physics #Computer science #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Regularization (linguistics) #Renormalization #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.84.014001

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 84(1) (American Physical Society) · 22 pages, 5 figures

arxiv created 2011/04/26 · openalex publication_date 2011/07/05 · arxiv updated 2011/08/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The nonperturbative renormalization of four-quark operators plays a significant role in lattice studies of flavor physics. For this purpose, we define regularization-independent symmetric momentum-subtraction (RI/SMOM) schemes for \ensuremathΔS=1 flavor-changing four-quark operators and provide one-loop matching factors to the MS scheme in naive dimensional regularization. The mixing of two-quark operators is discussed in terms of two different classes of schemes. We provide a compact expression for the finite one-loop amplitudes, which allows for a straightforward definition of further RI/SMOM schemes.

Citations

• An upgraded analysis of ɛ′/ɛ at the next-to-leading order
• Three loop anomalous dimension of non-singlet quark currents in the RI′ scheme
• Quark mass renormalization in the and RI schemes up to the NNLO order
• Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
• / at the NLO: 10 Years Later

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