  The dielectric response of liquids reflects both, reorientation of single
molecular dipoles and collective modes, i.e., dipolar cross-correlations. A
recent theory predicts the latter to produce an additional slow peak in the
dielectric loss spectrum. Following this idea we argue that in supercooled
liquids the high-frequency power law exponent of the dielectric loss $\beta$
should be correlated with the degree of dipolar order, i.e., the Kirkwood
correlation factor $g_K$. This notion is confirmed for 25 supercooled liquids.
While our findings support recent theoretical work the results are shown to
violate the earlier Kivelson-Madden theory.
