deletions | additions       diff --git a/Theory.tex b/Theory.tex  index c2e1cdd..1878543 100644  --- a/Theory.tex  +++ b/Theory.tex 
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\begin{eqnarray}  A_v+\delta A_v = - 2i\sin\theta_W \left( F_{1V}^X + F_{2V}^X \right) & \ , & B_v+\delta B_v = - 2i\sin\theta_W F_{1A}^X \ , \\ \delta C_v = -2i\sin\theta_W F_{2V}^X & \ , & \delta D_v = -2\sin\theta_W F_{2A}^X \ .   \end{eqnarray}  The expected sensitivities on the anomalous top-quark couplings can be derived in any of these parameterizations. Although originally derived with that of Ref.~\cite{Grzadkowski_2000}, the final estimates presented in this study, however, use the parameterization of Ref.~\cite{Baer_2013}, for an easy comparison. For the same reason, although \cross{although  it is not needed, needed,}  the same restrictions as in Ref.~\cite{Baer_2013} are applied here: only the six CP conserving form factors are considered (i.e., the two $F_{2A}^X$ are both assumed to vanish), and either the four form factors $F_{1V,A}^X$ are varied simultaneously while the the two $F_{2V}^X$ are fixed to their standard model values, or vice-versa. A careful reading of Ref.~\cite{Baer_2013} shows that the form factor $F_{1A}^\gamma$ was also kept to its standard model value, as a non-zero value would lead to gauge-invariance violation. It is straightforward to show that, under these restrictions, the three parameterizations lead to the same sensitivities on $F_i$, $\tilde{F}_i$ and $A,B,C,D$ (with a multiplicative factor $2\sin\theta_W \sim 0.96$ for the latter set). The tree-level angular and energy distributions of the lepton arising from the ${\rm t \bar t}$ semi-leptonic decays are known analytically as a function of the incoming beam polarizations and the centre-of-mass energy~\cite{Grzadkowski_2000}:   \begin{equation}