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

TL;DR

This paper calculates the two-loop QCD renormalization and anomalous dimension of the scalar diquark operator, providing essential higher-order corrections for QCD studies involving diquarks and their role in weak interactions.

Contribution

It presents the first two-loop calculation of the scalar diquark operator's anomalous dimension in QCD, advancing the precision of theoretical predictions involving diquarks.

Findings

Two-loop anomalous dimension in the $ar{MS}$ scheme computed.

Analysis of scale dependence of diquark matrix elements performed.

Enhanced understanding of diquark contributions in weak Hamiltonian.

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 $\bar{{\rm MS}}$ scheme is used to study the QCD renormalization scale dependence of diquark matrix elements of the $\Delta S=1$ effective weak Hamiltonian.