  $W^+W^-\gamma$ production in proton-proton collision provides a window to the
mechanism of electroweak symmetry breaking and a direct accessment to triple
and quartic gauge couplings. Precision study of gauge boson self-interactions
may also provide evidence of existence of new physics beyond the Standard
Model. In this paper, we study the $W^+W^-\gamma$ production at the LHC and
future higher energy proton-proton colliders at the QCD+EW NLO including parton
shower effects. We find that the contributions from the photon-induced (i.e.,
$q\gamma$- and $\gamma\gamma$-initiated) channels are non-negligible since the
photon luminosity can be enhanced significantly with the increment of colliding
energy, and the large real jet emission QCD and EW corrections can be depressed
sufficiently by applying the jet veto event selection scheme. Moreover, we also
investigate the theoretical errors arising from the PDF uncertainty and the
factorization/renormalization scale dependence.
