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The dominant contributions to W-+ H+- production at the LHC are thetree-level b anti-b annihilation and the gg fusion. We perform for the case ofthe complex MSSM a complete calculation of the NLO EW corrections to the banti-b annihilation channel and a consistent combination with othercontributions including the standard and SUSY QCD corrections and the ggfusion, with resummation of the leading radiative corrections to thebottom-Higgs couplings and the neutral Higgs-boson propagators. We observe alarge CP-violating asymmetry, arising mainly from the gg channel.Comment: 33 pages, 21 figures, a few typos corrected, one reference adde

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>W</mml:mi><mml:mo>∓</mml:mo></mml:msup><mml:msup><mml:mi>H</mml:mi><mml:mo>±</mml:mo></mml:msup></mml:math>production and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math>asymmetry at the LHC

W∓H±production andCPasymmetry at the LHC