The nonlinear final state of short-pulse lasers is examined using fully exp
licit particle-in-cell simulations. A new long-wavelength hosing instabilit
y is found to be dominant after a few Rayleigh lengths of propagation. This
instability causes self-trapped electrons to be displaced off axis; we fin
d that ion motion is important at the highest densities studied. A possible
explanation for this instability is given based on a new variational princ
iple analysis for short-pulse lasers propagating in underdense plasma.