  Minijet production in $\sqrt{s} = 5.5$ TeV Pb+Pb collisions at the LHC is
expected to produce a gluon-dominated plasma with large initial temperatures
and energy densities. We discuss the implications of the high initial
temperatures on the screening mass and on the relative suppression of members
of the $\Upsilon$ family. We demonstrate that $p_T$-dependence of the
$\Upsilon'/\Upsilon$ ratio is only expected if a quark-gluon plasma with
significant energy density is present, and that the precise dependence of this
ratio will strongly constrain the QGP models. We also propose that the $p_T$
spectra of the $\Upsilon$ resonances themselves will provide valuable
information by comparing these spectra to that of the $Z$ boson, which should
not be influenced by plasma production.
