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The long-distance behaviour of the vector-vector correlator from pion-pion scattering

https://doi.org/10.22323/1.430.0073

Paul, Srijit; Hanlon, Andrew D.; Hoerz, Ben; Mohler, Daniel; Morningstar, Colin; Wittig, Hartmut (April 2023, 39th International Symposium on Lattice Field Theory)

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 pion-pion 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 − 2)𝜇 experiment and theory.
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I=1 $$\pi$$-$$\pi$$ scattering at the physical point

https://doi.org/10.22323/1.396.0551

Paul, Srijit; Hanlon, Andrew; Hörz, Ben; Mohler, Daniel; Morningstar, Colin; Wittig, Hartmut (May 2022, Pos proceedings of science)

We present a preliminary analysis of I = 1 π π scattering at the physical point. We make use of the stochastic variant of the distillation framework (also known as sLapH) to compute the relevant two-point correlation matrices using a basis of single and multihadron interpolating operators to estimate the low energy spectra. We perform the Lüscher analysis to determine the scattering phase shift which is finding good agreement with the experimentally obtained phase shifts.
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$P$ -wave nucleon-pion scattering amplitude in the $Δ (1232)$ channel from lattice QCD

https://doi.org/10.1103/PhysRevD.103.094508

Silvi, Giorgio; Paul, Srijit; Alexandrou, Constantia; Krieg, Stefan; Leskovec, Luka; Meinel, Stefan; Negele, John; Petschlies, Marcus; Pochinsky, Andrew; Rendon, Gumaro; et al (May 2021, Physical Review D)
null (Ed.)
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$I = 1 / 2$ $S$ -wave and $P$ -wave $K π$ scattering and the $κ$ and $K^{*}$ resonances from lattice QCD

https://doi.org/10.1103/PhysRevD.102.114520

Rendon, Gumaro; Leskovec, Luka; Meinel, Stefan; Negele, John; Paul, Srijit; Petschlies, Marcus; Pochinsky, Andrew; Silvi, Giorgio; Syritsyn, Sergey (December 2020, Physical Review D)
null (Ed.)
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