The mixing of two-pion and vector-meson states using staggered fermions
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917557409153024 |
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| author | Frech, Fabian J. Stokes, Finn M. Szabo, Kalman K. Toth, Balint C. |
| author_facet | Frech, Fabian J. Stokes, Finn M. Szabo, Kalman K. Toth, Balint C. |
| contents | In this study we employ staggered fermions to calculate the two-pion taste singlet states at rest. Leveraging the Clebsch-Gordan coefficients of the symmetry group associated with staggered fermions, we effectively compute the $ππ$ contributions to the resting $ρ$-meson correlator. To discern the distinct energy states involved, we adopt a generalized eigenvalue problem-solving approach. This work will provide insight into the important role played by the two-pion contribution to the anomalous magnetic moment of the muon.
In this paper we present our group theoretic considerations and preliminary results on the contribution of two-pion states to the rho meson correlation function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00514 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The mixing of two-pion and vector-meson states using staggered fermions Frech, Fabian J. Stokes, Finn M. Szabo, Kalman K. Toth, Balint C. High Energy Physics - Lattice In this study we employ staggered fermions to calculate the two-pion taste singlet states at rest. Leveraging the Clebsch-Gordan coefficients of the symmetry group associated with staggered fermions, we effectively compute the $ππ$ contributions to the resting $ρ$-meson correlator. To discern the distinct energy states involved, we adopt a generalized eigenvalue problem-solving approach. This work will provide insight into the important role played by the two-pion contribution to the anomalous magnetic moment of the muon. In this paper we present our group theoretic considerations and preliminary results on the contribution of two-pion states to the rho meson correlation function. |
| title | The mixing of two-pion and vector-meson states using staggered fermions |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2401.00514 |