The Sequential Empirical Bayes Method: An Adaptive Constrained-Curve Fitting Algorithm for Lattice QCD

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dc.creatorChen, Ying
dc.creatorDong, Shao-Jing
dc.creatorDraper, Terrence
dc.creatorHorvath, Ivan
dc.creatorLiu, Keh-Fei
dc.creatorMathur, Nilmani
dc.creatorTamhankar, Sonali
dc.creatorSrinivasan, Cidambi
dc.creatorLee, Frank X.
dc.creatorZhang, Jianbo
dc.date2004-05-03
dc.date.accessioned2026-07-07T03:39:07Z
dc.date.available2026-07-07T03:39:07Z
dc.descriptionWe introduce the ``Sequential Empirical Bayes Method'', an adaptive constrained-curve fitting procedure for extracting reliable priors. These are then used in standard augmented-$χ^2$ fits on separate data. This better stabilizes fits to lattice QCD overlap-fermion data at very low quark mass where {\it a priori} values are not otherwise known. Lessons learned (including caveats limiting the scope of the method) from studying artificial data are presented. As an illustration, from local-local two-point correlation functions, we obtain masses and spectral weights for ground and first-excited states of the pion, give preliminary fits for the $a_0$ where ghost states (a quenched artifact) must be dealt with, and elaborate on the details of fits of the Roper resonance and $S_{11}(N^{1/2-})$ previously presented elsewhere. The data are from overlap fermions on a quenched $16^3\times 28$ lattice with spatial size $La=3.2 {\rm fm}$ and pion mass as low as $\sim 180 {\rm MeV}$.
dc.description37 pages, 16 figures, uses apsrev.bst
dc.identifierhttps://arxiv.org/abs/hep-lat/0405001
dc.identifierhttp://arxiv.org/abs/hep-lat/0405001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/38801
dc.subjectHigh Energy Physics - Lattice
dc.titleThe Sequential Empirical Bayes Method: An Adaptive Constrained-Curve Fitting Algorithm for Lattice QCD
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