  We present new results of next-to-leading order (NLO) electroweak corrections
to doubly-polarized cross sections of $W^+W^-$ production at the LHC. The
calculation is performed for the leptonic final state of $e^+\mu_e \mu^-
\bar{\nu}_\mu$ using the double-pole approximation in the diboson
center-of-mass frame. NLO QCD corrections and subleading contributions from the
$gg$, $b\bar{b}$, $\gamma\gamma$ induced processes are taken into account in
the numerical results. We found that NLO EW corrections are small for angular
distributions but can reach tens of percent for transverse momentum
distributions at high energies, e.g. reaching $-40\%$ at $p_{T,e}\approx 300$
GeV. In these high $p_T$ regions, EW corrections are largest for the
doubly-transverse mode.
