The axial-vector form factor of the nucleon in a finite box
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912889198084096 |
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| author | Hermsen, Felix Isken, Tobias Lutz, Matthias F. M. Timmermans, Rob G. E. |
| author_facet | Hermsen, Felix Isken, Tobias Lutz, Matthias F. M. Timmermans, Rob G. E. |
| contents | We consider the axial-vector form factor of the nucleon in a finite box. Starting from the chiral Lagrangian with nucleon and Delta-isobar degrees of freedom, we address, at the one-loop level, the impact of two types of finite-volume effects. On the one hand, there are the implicit effects from the in-box values of the nucleon and Delta-isobar masses. On the other hand, there are the explicit effects caused by computing the in-box loop integrals with the values of the nucleon and Delta-isobar masses obtained in the infinite-volume limit. Selected numerical results are shown for three lattice ensembles. We show that the implicit effects dominate the in-box form factor. Our results are presented in terms of a set of basis functions that generalize the Passarino-Veltman reduction scheme to the finite-box case, such that only scalar loop integrals have to be performed. The techniques we developed are more generally relevant for lattice studies of hadronic quantities. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_11902 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The axial-vector form factor of the nucleon in a finite box Hermsen, Felix Isken, Tobias Lutz, Matthias F. M. Timmermans, Rob G. E. High Energy Physics - Lattice High Energy Physics - Phenomenology We consider the axial-vector form factor of the nucleon in a finite box. Starting from the chiral Lagrangian with nucleon and Delta-isobar degrees of freedom, we address, at the one-loop level, the impact of two types of finite-volume effects. On the one hand, there are the implicit effects from the in-box values of the nucleon and Delta-isobar masses. On the other hand, there are the explicit effects caused by computing the in-box loop integrals with the values of the nucleon and Delta-isobar masses obtained in the infinite-volume limit. Selected numerical results are shown for three lattice ensembles. We show that the implicit effects dominate the in-box form factor. Our results are presented in terms of a set of basis functions that generalize the Passarino-Veltman reduction scheme to the finite-box case, such that only scalar loop integrals have to be performed. The techniques we developed are more generally relevant for lattice studies of hadronic quantities. |
| title | The axial-vector form factor of the nucleon in a finite box |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2504.11902 |