Simple patterns for non-linear susceptibilities near T_c

Non-linear susceptibilities upto the eighth order have been constructed in QCD with 2 flavours of dynamical quarks. Beyond leading order, they exhibit peaks at the cross over temperature, T_c. By analyzing their behaviour in detail, we find that the dominant contributions near T_c come from a set of operators with a remarkably simple topology. Any effective theory of QCD near T_c must be able to explain these regularities.