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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.16930 |
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| _version_ | 1866915389477224448 |
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| author | Tuo, Xin-Yu Feng, Xu |
| author_facet | Tuo, Xin-Yu Feng, Xu |
| contents | This study investigates finite-volume effects in physical processes that involve the combination of long-range hadronic matrix elements with electroweak loop integrals. We adopt the approach of implementing the electroweak part as the infinite-volume version, which is denoted as the EW$_\infty$ method in this work. A general approach is established for correcting finite-volume effects in cases where the hadronic intermediate states are dominated by either a single particle or two particles. For the single-particle case, this work derives the infinite volume reconstruction (IVR) method from a new perspective. For the two-particle case, we provide the correction formulas for power-law finite-volume effects and unphysical terms with exponentially divergent time dependence. The finite-volume formalism developed in this study has broad applications, including the QED corrections in various processes and the two-photon exchange contribution in $K_L\toμ^+μ^-$ or $η\toμ^+μ^-$ decays. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16930 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite-volume formalism for physical processes with an electroweak loop integral Tuo, Xin-Yu Feng, Xu High Energy Physics - Lattice This study investigates finite-volume effects in physical processes that involve the combination of long-range hadronic matrix elements with electroweak loop integrals. We adopt the approach of implementing the electroweak part as the infinite-volume version, which is denoted as the EW$_\infty$ method in this work. A general approach is established for correcting finite-volume effects in cases where the hadronic intermediate states are dominated by either a single particle or two particles. For the single-particle case, this work derives the infinite volume reconstruction (IVR) method from a new perspective. For the two-particle case, we provide the correction formulas for power-law finite-volume effects and unphysical terms with exponentially divergent time dependence. The finite-volume formalism developed in this study has broad applications, including the QED corrections in various processes and the two-photon exchange contribution in $K_L\toμ^+μ^-$ or $η\toμ^+μ^-$ decays. |
| title | Finite-volume formalism for physical processes with an electroweak loop integral |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2407.16930 |