The mixing of two-pion and vector-meson states using staggered fermions

Autor:	Frech, Fabian J., Stokes, Finn M., Szabo, Kalman K., Toth, Balint C.
Rok vydání:	2023
Předmět:	High Energy Physics - Lattice
Druh dokumentu:	Working Paper
Popis:	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 $\pi\pi$ contributions to the resting $\rho$-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. Comment: 8 pages, 2 tables, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.00514 Zobrazit plný text záznamu View this record from Arxiv