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

Filippo Palombi·Carlos Pena·Stefan Sint
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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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Filippo Palombi, Carlos Pena, Stefan Sint. 2004-08-11. NLO anomalous dimension of multiplicatively renormalizable four-fermion operators in Schroedinger Functional schemes. https://arxiv.org/abs/hep-lat/0408018

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