Nonperturbative renormalization of asymmetric staple-shaped operators in twisted mass lattice QCD
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arXiv
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| Main Authors: | , , , , , , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866916110604959744 |
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| author | Alexandrou, Constantia Bacchio, Simone Cichy, Krzysztof Constantinou, Martha Feng, Xu Jansen, Karl Liu, Chuan Sen, Aniket Spanoudes, Gregoris Steffens, Fernanda Tarello, Jacopo |
| author_facet | Alexandrou, Constantia Bacchio, Simone Cichy, Krzysztof Constantinou, Martha Feng, Xu Jansen, Karl Liu, Chuan Sen, Aniket Spanoudes, Gregoris Steffens, Fernanda Tarello, Jacopo |
| contents | 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 $γ_0$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2305_11824 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nonperturbative renormalization of asymmetric staple-shaped operators in twisted mass lattice QCD Alexandrou, Constantia Bacchio, Simone Cichy, Krzysztof Constantinou, Martha Feng, Xu Jansen, Karl Liu, Chuan Sen, Aniket Spanoudes, Gregoris Steffens, Fernanda Tarello, Jacopo High Energy Physics - Lattice High Energy Physics - Phenomenology 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 $γ_0$ 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. |
| title | Nonperturbative renormalization of asymmetric staple-shaped operators in twisted mass lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2305.11824 |