Preprint

PUBDB-2025-01126

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Nonperturbative renormalization of asymmetric staple-shaped operators in twisted mass lattice QCD

Alexandrou, C. (Corresponding author)Extern* ; Bacchio, S. ; Cichy, K.Extern* ; Constantinou, M. ; Feng, X.DESY* ; Jansen, K.DESY* ; Liu, C. ; Sen, A. ; Spanoudes, G. ; Steffens, F.Extern* ; Tarello, J.

2023

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Please use a persistent id in citations: doi:10.3204/PUBDB-2025-01126

Report No.: arXiv:2305.11824

Abstract: Staple-shaped Wilson line operators are necessary for the study of transverse momentum-dependent parton distribution functions (TMDPDFs) in lattice QCD and beyond. In this work, we study the renormalization of such operators in the general case of an asymmetric staple. We analyze the mixing pattern of these operators using their symmetry properties, where we find that the possible mixing is restricted within groups of four operators. We then present numerical results using the regularization independent momentum subtraction (RI/MOM) scheme to study the importance of mixing using one operator in particular, the γ0 operator. Based on these results, we consider the short distance ratio (SDR) scheme, which is desirable in the absence of mixing. Finally, we investigate a variant of the RI/MOM scheme, where the renormalization factors are computed at short distances.

Keyword(s): parton: distribution function ; renormalization: nonperturbative ; mass: twist ; mixing ; lattice field theory ; asymmetry ; regularization ; Wilson loop ; transverse momentum dependence ; numerical calculations

Note: 20 pages, 14 figures

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Contributing Institute(s):

1. Centre f. Quantum Techno. a. Application (CQTA)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)196253076 - TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik (196253076) (196253076)

Experiment(s):

1. No specific instrument

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Database coverage:
; ; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Alexandrou, C. (Corresponding author)Extern* ; Bacchio, S. ; Cichy, K.Extern* ; Constantinou, M. ; Feng, X.DESY* ; Jansen, K.DESY* ; Liu, C. ; Sen, A. ; Spanoudes, G. ; Steffens, F.Extern* ; Tarello, J.
Nonperturbative renormalization of asymmetric staple-shaped operators in twisted mass lattice QCD
Physical review / D 108(11), 114503 (2023) [10.1103/PhysRevD.108.114503]2023     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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