Renormalization of pinned elastic systems: How does it work beyond one loop?

We study the field theories for pinned elastic systems at equilibrium and a t depinning. Their beta functions differ to two loops by novel "anomalous'' terms. At equilibrium we find a roughness zeta = 0.208 298 04 epsilon + 0. 006 858 epsilon (2) (random bond), zeta = epsilon /3 (random field). At dep inning we prove two-loop renomalizability and that random field attracts sh orter range disorder. We find zeta = epsilon /3(1 + 0.143 31 epsilon), epsi lon = 4 - d, in violation of the conjecture zeta = E/3, solving the discrep ancy with simulations. For long range elasticity zeta = epsilon /3(1 + 0.39 7 35 epsilon), epsilon = 2 - d, much closer to the experimental value (appr oximate to0.5 both for liquid helium contact line depinning and slow crack fronts) than the standard prediction 1/3.