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

2023/12/31 by Fabian Frech, Finn M. Stokes, Frech, Fabian J. +5
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2401.00514

openalex publication_date 2023/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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