  We present a large-$S$ study of a quantum spin ice Hamiltonian, introduced by
Huang, et al., [PRL 112, 167203 (2014)], on the kagome lattice. This model
involves a competition between the frustrating Ising term of classical kagome
ice, a Zeeman magnetic field $h$,and a nearest-neighbor transverse spin-flip
term $S^x_iS^x_j - S^y_iS^y_j$. Recent Quantum Monte Carlo (QMC) simulations by
Carrasquilla, et al., [Nature Communications, 6, 7421, (2015)], uncovered lobes
of a disordered phase for large Ising interaction and $h\neq 0$ -- a putative
quantum spin liquid phase. Here, we examine the nature of this model using
large-$S$ expansion. We show that the ground state properties generally have
the same trends with those observed in QMC simulations. In particular, the
large-$S$ ground state phase diagram captures the existence of the disordered
lobes.
