Diboson production at the LHC is a process of great importance both in the context of tests of the SM and for direct searches for new physics. In this paper we present a phenomenological study of mathrm {W}mathrm {W} (rightarrow mathrm {e^+}nu _{mathrm {e}}mathrm {mu ^-}bar{nu }_{mu }), mathrm {W}mathrm {Z} (rightarrow mathrm {e^-}overline{nu }_{mathrm{e}} mu ^+ mu ^-), and mathrm {Z}mathrm {Z} (rightarrow mathrm {e^+}mathrm {e^-}mu ^+ mu ^-) production considering event selections of interest for the anomalous triple-gauge-boson-coupling searches at the LHC: we provide theoretical predictions within the Standard Model at NLO QCD and NLO EW accuracy and study the effect of the anomalous triple-gauge-boson interactions at NLO QCD. For mathrm {W}mathrm {W} and mathrm {Z}mathrm {Z} the contribution of the loop-induced mathrm {g}mathrm {g}rightarrow mathrm {W}^+mathrm {W}^- and mathrm {g}mathrm {g}rightarrow mathrm {Z}mathrm {Z} processes is included. Anomalous triple-gauge-boson interactions are parametrized in the EFT framework. This paper is the first application of Recola2 in the EFT context.