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We study the zero temperature random field Ising model as a model for noiseand avalanches in hysteretic systems. Tuning the amount of disorder in thesystem, we find an ordinary critical point with avalanches on all lengthscales. Using a mapping to the pure Ising model, we Borel sum the $6-\epsilon$expansion to $O(\epsilon^5)$ for the correlation length exponent. We sketch anew method for directly calculating avalanche exponents, which we perform to$O(\epsilon)$. Numerical exponents in 3, 4, and 5 dimensions are in goodagreement with the analytical predictions.Comment: 134 pages in REVTEX, plus 21 figures. The first two figures can be  obtained from the references quoted in their respective figure captions, the  remaining 19 figures are supplied separately in uuencoded forma

Hysteresis, avalanches, and disorder-induced critical scaling: A renormalization-group approach