Fitting Correlated Hadron Mass Spectrum Data

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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14 pages, Latex text, followed by 3 postscript figures in self-unpacking file. Also available at ftp://suna.amtp.liv.ac.uk/p

Scientific paper

10.1103/PhysRevD.51.3745

We discuss fitting hadronic Green functions versus time $t$ to extract mass values in quenched lattice QCD. These data are themselves strongly correlated in $t$. With only a limited number of data samples, the method of minimising correlated $\chi^2$ is unreliable. We explore several methods of modelling the correlations among the data set by a few parameters which then give a stable and sensible fit even if the data sample is small. In particular these models give a reliable estimate of the goodness of fit.

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