Two-Loop QCD Renormalization and Anomalous Dimension of the Scalar Diquark Operator

Abstract

The renormalization of the scalar diquark operator and its anomalous dimension is calculated at two-loop order in QCD, enabling higher-order QCD studies of diquarks. As an application of our result, the two-loop diquark anomalous dimension in the $\overline{\mathrm{MS}}$ scheme is used to study the QCD renormalization scale dependence of diquark matrix elements of the $\Delta S=1$ effective weak Hamiltonian.

Version 3 corrects an error in Table 1 and associated results. 7 pages, 4 embedded eps figures

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• Mass Uncertainties of f0(600) and f0(1370) and their Effects on Determination of the Quark and Glueball Admixtures of the I=0 Scalar Mesons
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Cited by in corpus (2)

• Heavy-light diquark masses from QCD sum rules and constituent diquark models of tetraquarks
• Applications of Diagrammatic Renormalization Methods in QCD Sum-Rules