PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Hadron Spectroscopy and Interactions
The long-distance behaviour of the vector-vector correlator from 𝝅𝝅 scattering
S.Β Paul*, A.D.Β Hanlon, B.Β Hoerz, D.Β Mohler, C.Β Morningstar and H.Β Wittig
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Published on: April 06, 2023
We present the estimation of the long distance behaviour of the vector-vector correlator computed
on a lattice QCD ensemble generated with 2 + 1 flavour physical Wilson clover quarks. The long
distance regime of the correlator is dominated by multi-hadronic scattering states. We reconstruct
the correlator in this regime using the πœ‹πœ‹ scattering states in the 𝐼 = 1 channel. The vector-vector
correlator appears in the integrand to estimate the hadronic vacuum polarization contributions to
the anomalous magnetic moment of the muon. Therefore, an improved estimation of the correlator
will help resolve the tension between (𝑔 βˆ’ 2)πœ‡ experiment and theory.
DOI: https://doi.org/10.22323/1.430.0073
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