Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14279/33736
Title: Gauge-invariant renormalization of four-quark operators
Authors: Constantinou, M. 
Costa, Marios 
Herodotou, Herodotos 
Panagopoulos, Haris 
Spanoudes, Gregoris 
Major Field of Science: Natural Sciences
Field Category: Physical Sciences
Issue Date: 10-Oct-2024
Source: Physical Review D, 2024, vol. 110, iss. 7
Volume: 110
Issue: 7
Journal: Physical Review D 
Abstract: We study the renormalization of four-quark operators in one-loop perturbation theory. We employ a coordinate-space gauge-invariant renormalization scheme (GIRS), which can be advantageous compared to other schemes, especially in nonperturbative lattice investigations. From our perturbative calculations, we extract the conversion factors between GIRS and the modified minimal subtraction scheme (MS¯) at the next-to-leading order. As a by-product, we also obtain the relevant anomalous dimensions in the GIRS scheme. A formidable issue in the study of the four-quark operators is that operators with different Dirac matrices mix among themselves upon renormalization. We focus on both parity-conserving and parity-violating four-quark operators, which change flavor numbers by two units (ΔF=2). The extraction of the conversion factors entails the calculation of two-point Green's functions involving products of two four-quark operators, as well as three-point Green's functions with one four-quark and two bilinear operators. The significance of our results lies in their potential to refine our understanding of QCD phenomena, offering insights into the precision of Cabibbo-Kobayashi-Maskawa (CKM) matrix elements and shedding light on the nonperturbative treatment of complex mixing patterns associated with four-quark operators.
URI: https://hdl.handle.net/20.500.14279/33736
ISSN: 24700010
DOI: 10.1103/PhysRevD.110.074506
Type: Article
Affiliation : Temple University 
University of Cyprus 
Rinnoco Ltd 
Cyprus University of Technology 
Publication Type: Peer Reviewed
Appears in Collections:Άρθρα/Articles

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