present in the Eq.(\[amp-img-fhiggs\]) [@kuchina].

Hence, the two modes of the imaginary part of the scattering amplitude are given by

$$\begin{aligned}
(\textrm{Im}A)_{L} \simeq \left( \frac{1}{\pi s^{3}} \right) 4Q^{2} \, \alpha_{s}^{2} \, \alpha \sum_{q} e^{2}_{q} \left[ \frac{N^{2}_{c} - 1}{N^{2}_{c}} \right] V \int d\alpha_{\ell} \; d^{2}\boldsymbol{l} \; \frac{d^{2}\boldsymbol{k}}{\boldsymbol{k}^{6}} \left[ \frac{(1 - \alpha_{\ell})\Gamma_{1}}{\alpha_{\ell}(D^{2}_{1})} + \frac{\Gamma_{2}}{D_{1}D_{2}} \right],\end{aligned}$$

and $$\begin{aligned}
\!\!\!\!\!\!\!\! (\textrm{Im}A)_{T} \simeq \frac{V}{\pi^{2} s^{3}} \sum_{q} e^{2}_{q} \left[ \frac{N^{2}_{c} - 1}{N^{2}_{c}} \right] \!\! \int d\alpha_{\ell} \; d^{2}\boldsymbol{l} \; \frac{d^{2}\boldsymbol{k}}{\boldsymbol{k}^{6}} \!\! \left[ \frac{(1 - \alpha_{\ell})(-s^{2} g_{\mu\nu} \, \Gamma^{\mu\nu}_{1} + 4Q^{2}\pi \Gamma_{1} )}{\alpha_{\ell}D^{2}_{1}} + \frac{\left( - s^{2} g_{\mu\nu} \, \Gamma^{\mu\nu}_{2} + 4Q^{2}\pi \Gamma_{2} \right)}{D_{1}D_{2}} \right] ,\end{aligned}$$

where $\Gamma_{i}$ and $\Gamma^{\mu\nu}_{i}$ are trace functions of the form

$$\begin{aligned}
\Gamma_{1} &=& \textrm{Tr} \left[ (\hspace*{-00.10cm}{\not{\hbox{\kern-1.5pt $q$}}}- \hspace*{-00.20cm} {\not{\hbox{\kern-.3pt $l$}}}) \hspace*{-00.10cm} {\not{\hbox{\kern-2.pt $p$}}}\hspace*{-00.10cm} {\not{\hbox{\kern-.3pt $l$}}}\hspace*{-00.10cm} \not{\hbox{\kern-2.5pt $p$}} \hspace*{00.05cm} (\hspace*{-00.10cm}{\not{\hbox{\kern-.3pt $l$}}}+ \hspace*{-00.20cm} {\not{\hbox{\kern-1.5pt $k$}}}) \hspace*{-00.10cm} {\not{\hbox{\kern-2.pt $p$}}}\hspace*{-00.10cm} {\not{\hbox{\kern-.3pt $l$}}}\hspace*{-00.05cm} {\not{\hbox{\kern-2.pt $p$}}}\hspace*{00.05cm} \right] \\
\Gamma_{2} &=& \textrm{Tr} \left[ (\hspace*{-00.10cm}{\not{\hbox{\kern-1.5pt $q$}}}- \hspace*{-00.20cm} {\not{\hbox{\kern-.3pt $l$}}}) \hspace*{-00.10cm} {\not{\hbox{\kern-2.pt $p$}}}\hspace*{00.10cm} (\hspace*{-00.10cm}{\not{\hbox{\kern-1.5pt $k$}}}+ \hspace*{-00.20cm} {\not{\hbox{\kern-.3pt $l$}}}- \hspace*{-00.20cm} {\not{\hbox{\kern-1.5pt $q$}}}) \hspace*{-00.10cm} {\not{\hbox{\kern-2.pt $p$}}}\hspace*{00.10cm} (\hspace*{-00.10cm}{\not{\hbox{\kern-1.5pt $k$}}}+ \hspace*{-00.20cm} {\not{\hbox{\kern-.3pt $l$}}}) \hspace*{-00.10cm} {\not{\hbox{\kern-2.pt $p$}}}\hspace*{-00.10cm} {\not{\hbox{\kern-.3pt $l$}}}\hspace*{-00.05cm} \not{\hbox{\kern-2.5pt $p$}} \hspace*{00.05cm} \right] \\
\Gamma^{\mu\nu}_{1} &=& \textrm{Tr} \left[ (\hspace*{-00.10cm}{\not{\hbox{\kern-1.5pt $q$}}}- \hspace*{-00.20cm} {\not{\hbox{\kern-.3pt $l$}}}) \hspace*{00.05cm} \gamma^{\mu} \hspace*{-00.15cm} {\not{\hbox{\kern-.3pt $l$}}}\hspace*{-00.05cm} {\not{\hbox{\kern-2.pt $p$}}}\hspace*{00.10cm} (\hspace*{-00.10cm} {\not{\hbox{\kern-.3pt $l$}}}+ \hspace*{-00.20cm} {\not{\hbox{\kern-1.5pt 