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A comparison of spectral reconstruction methods applied to non-zero temperature NRQCD meson correlation functions

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arxiv 2112.04201 v1 pith:M2K4W6H2 submitted 2021-12-08 hep-lat

A comparison of spectral reconstruction methods applied to non-zero temperature NRQCD meson correlation functions

classification hep-lat
keywords spectralfastsumfunctionmethodstemperatureanisotropicappliedapproach
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present results from the fastsum collaboration's programme to determine the spectrum of the bottomonium system as a function of temperature. Three different methods of extracting spectral information are discussed: a Maximum Likelihood approach using a Gaussian spectral function for the ground state, the Backus Gilbert method, and the Kernel Ridge Regression machine learning procedure. We employ the fastsum anisotropic lattices with 2+1 dynamical quark flavours, with temperatures ranging from 47 to 375 MeV.

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