On FASTSUM Generation 2L ensembles, Backus-Gilbert and Tikhonov reconstructions agree on the Upsilon ground-state mass, but the decay width is dominated by reconstruction smearing and high-temperature broadening is unresolved.
Novel Bottomonium Results
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abstract
We present the latest results from the use of the Backus-Gilbert method for reconstructing the spectra of NRQCD bottomonium mesons using anisotropic FASTSUM ensembles at non-zero temperature. We focus in particular on results from the $\eta_b$, $\Upsilon$, $\chi_{b1}$ and $h_b$ generated from Tikhonov-regularized Backus-Gilbert coefficient sets. We extend previous work on the Laplace shifting theorem as a means of resolution improvement and present new results from its use. We conclude with a discussion of the limitations of the improvement routine and elucidate a connection with Parisi-Lepage statistical scaling.
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The NRQCD $\Upsilon$ spectrum at non-zero temperature using Backus-Gilbert regularisations
On FASTSUM Generation 2L ensembles, Backus-Gilbert and Tikhonov reconstructions agree on the Upsilon ground-state mass, but the decay width is dominated by reconstruction smearing and high-temperature broadening is unresolved.