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NLO anomalous dimension of multiplicatively renormalizable four-fermion operators in Schroedinger Functional schemes

2004/08/11 by Filippo Palombi, Carlos Peña, Palombi, Filippo +4
Physics and Astronomy · #Advanced Frequency and Time Standards #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/0408018

3 pages, 1 figure, parallel talk given at LATTICE 2004, Fermilab, June 21-26, 2004

arxiv created 2004/08/11 · openalex publication_date 2004/08/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Renormalization constants for multiplicatively renormalizable parity-odd four-fermion operators are computed in various different Schroedinger Functional (SF) schemes and lattice regularizations with Wilson quarks at one-loop order in perturbation theory. Our results are used in the calculation of their NLO anomalous dimensions, through matching to continuum schemes. They also enable a comparison of the two-loop perturbative RG running to the previously obtained nonperturbative one in the region of small renormalized coupling.

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