  We substantially refine our previously developed model for the suppression of
Upsilon mesons in the quark-gluon plasma (QGP) formed in 2.76 TeV PbPb
collisions at the LHC. It accounts for gluodissociation of the six bottomium
states Y(nS), chi_b(nP) with n = 1,2,3, collisional damping of these states as
described in a complex potential, screening of the real part of the potential,
and the subsequent decay cascade. In the hydrodynamical calculation of the
expanding fireball, we take into account the effect of transverse expansion on
the suppression factors, and finite transverse momenta of the heavy mesons in
the medium. The running of the coupling is considered, resulting in larger
gluodissociation decay widths. The initial central temperature is found to be
550 MeV at 0.1 fm/c. Our results are in good agreement with recent
centrality-dependent CMS and ALICE data. The calculated suppression of the
excited states relative to the ground state Y(1S) is not strong enough in
peripheral collisions. Additional mechanisms are discussed. Predictions for
5.52 TeV are made.
