Gluon nonlocal operator mixing in lattice QCD
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913646342307840 |
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| author | Gavriel, Demetrianos Panagopoulos, Haralambos Spanoudes, Gregoris |
| author_facet | Gavriel, Demetrianos Panagopoulos, Haralambos Spanoudes, Gregoris |
| contents | In this study, we explore the renormalization of a comprehensive set of gauge-invariant gluon nonlocal operators on the lattice. We calculate the renormalization factors for these operators in the modified Minimal Subtraction $(\rm \overline{MS})$ scheme up to one-loop, using both dimensional and lattice regularizations in the Wilson gluon action. To facilitate a non-perturbative renormalization approach, we examine an appropriate version of the modified regularization-invariant (${\rm RI}'$) scheme and determine the conversion factors from this scheme to $\rm \overline{MS}$. As an integral part of this procedure, by employing symmetry arguments on the lattice, we identify the mixing pattern of these operators under renormalization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07266 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gluon nonlocal operator mixing in lattice QCD Gavriel, Demetrianos Panagopoulos, Haralambos Spanoudes, Gregoris High Energy Physics - Lattice In this study, we explore the renormalization of a comprehensive set of gauge-invariant gluon nonlocal operators on the lattice. We calculate the renormalization factors for these operators in the modified Minimal Subtraction $(\rm \overline{MS})$ scheme up to one-loop, using both dimensional and lattice regularizations in the Wilson gluon action. To facilitate a non-perturbative renormalization approach, we examine an appropriate version of the modified regularization-invariant (${\rm RI}'$) scheme and determine the conversion factors from this scheme to $\rm \overline{MS}$. As an integral part of this procedure, by employing symmetry arguments on the lattice, we identify the mixing pattern of these operators under renormalization. |
| title | Gluon nonlocal operator mixing in lattice QCD |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2501.07266 |