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We introduce a method to quantify the quality-of-fit between data andobservables depending on the large scale Galactic magnetic field. We combineWMAP5 polarized synchrotron data and Rotation Measures of extragalactic sourcesin a joint analysis to obtain best fit parameters and confidence levels for GMFmodels common in the literature. None of the existing models provide a good fitin both the disk and halo regions, and in many instances best-fit parametersare quite different than the original values. We note that probing a very largeparameter space is necessary to avoid false likelihood maxima. The thermal andrelativistic electron densities are critical for determining the GMF from theobservables but they are not well constrained. We show that somecharacteristics of the electron densities can already be constrained using ourmethod and with future data it may be possible to carry out a self-consistentanalysis in which models of the GMF and electron densities are simultaneouslyoptimized.

Constraining models of the large scale Galactic magnetic field with WMAP5 polarization data and extragalactic Rotation Measure sources