We find the leading electro-weak corrections to the HQET/NRQCD Lagrangian. These corrections appear in the Wilson coefficients of the two and four quark operators and are considered here up to $mathcal{O}(1/m^3)$ at one-loop order. The two quark operators up to this order will include new CP-violating terms, which we derived analogously to the CP preserving QCD result at one-loop order.
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