We present a dynamical lattice calculation with two flavors for bottomonium
states with an additional gluonic excitation. Using improved actions for t
he quarks and gauge fields at a lattice spacing of a approximate to0.1 fm,
we find 10,977(61)(62) GeV for the energy of the lowest lying b (b) over ba
rg hybrid, where the first error is statistical and the second denotes the
systematic uncertainty due to the determination of scale. In a parallel que
nched simulation we demonstrate explicitly that vacuum polarization effects
are less than 10% of the splitting with the ground state.