+ \frac{3}{2}\,
\widetilde{H}_{tS}^2\Big]\Bigg\}\,,\end{aligned}$$

where

$$\begin{aligned}
&&H_0 = \frac{2\,m_{B_q}\,|\overrightarrow{p}_P|}{\sqrt{q^2}}\,F_{+}(q^2)\,,\qquad
H_t = \frac{m_{B_q}^2 - m_P^2}{\sqrt{q^2}}\,F_0(q^2)\,,\qquad
H_S=\frac{m_{B_q}^2 - m_P^2}{m_b(\mu) - m_{c}(\mu)}\,F_0(q^2)\,,\qquad
H_T=\frac{8\,m_{B_q}|\overrightarrow{p}_P|}{m_{B_q} + m_P}\,F_T\,, \nonumber \\
&&H_{T0}=H_T\,T_L + \frac{\sqrt{q^2}}{m_l}\,H_0\,G_V\,, \qquad
\widetilde{H}_{T0}=H_T\,\widetilde{T}_L + \frac{\sqrt{q^2}}{m_l}\,H_0\,\widetilde{G}_V\,,\qquad
H_{0T}=H_0\,G_V + \frac{\sqrt{q^2}}{m_l}\,H_T\,T_L\,, \nonumber \\
&&\widetilde{H}_{0T}=H_0\,\widetilde{G}_V + \frac{\sqrt{q^2}}{m_l}\,H_T\,\widetilde{T}_L\,,\qquad
H_{tS} = H_t\,G_V + \frac{\sqrt{q^2}}{m_l}\,H_S\,G_S\,, \qquad
\widetilde{H}_{tS} = H_t\,\widetilde{G}_V + \frac{\sqrt{q^2}}{m_l}\,H_S\,\widetilde{G}_S\,.\end{aligned}$$

Similarly

$$\begin{aligned}
&&\frac{d\Gamma^V}{dq^2}(+) =
\frac{8\,N\,|\overrightarrow{p}_P|\,}{3}\Bigg\{\frac{m_l^2}{q^2}\Big[\widetilde{\mathcal A}_{TAV}^2 + \frac{1}{2}\,\mathcal A^2_{AVT} +
\frac{3}{2}\,\mathcal A_{tP}^2\Big]\Bigg\}\,,\qquad
\frac{d\Gamma^V}{dq^2}(-) =
\frac{8\,N\,|\overrightarrow{p}_P|\,}{3}\Bigg\{\frac{m_l^2}{q^2}\Big[\mathcal A_{TAV}^2 + \frac{1}{2}\,\widetilde{\mathcal A}^2_{AVT} +
\frac{3}{2}\,\widetilde{\mathcal A}_{tP}^2\Big]\Bigg\}\,,\end{aligned}$$

where

$$\begin{aligned}
&&\mathcal A^2_{TAV} = \Big(\mathcal A_{T_0}\,T_L + \frac{\sqrt{q^2}}{m_l}\,\mathcal A_0\,G_A\Big)^2 + 
\Big(\mathcal A_{T_2}\,T_L + \frac{\sqrt{q^2}}{m_l}\,\mathcal A_{||}\,G_A\Big)^2 +
\Big(\mathcal A_{T_1}\,T_L + \frac{\sqrt{q^2}}{m_l}\,\mathcal A_{\perp}\,G_V\Big)^2 \,, \nonumber \\
&&\widetilde{\mathcal A}^2_{TAV} = \Big(\mathcal A_{T_0}\,\widetilde{T}_L + \frac{\sqrt{q^2}}{m_l}\,\mathcal A_0\,\widetilde{G}_A\Big)^2 + 
\Big(\mathcal A_{T_2}\,\widetilde{T}_L + \frac{\sqrt{q^2}}{m_l}\,\mathcal A_{||}\,\widetilde{G}_A\Big)^2 +
\Big(\mathcal A_{T_1}\,\widetilde{T}_L + \frac{\sqrt{q^2}}{m_l}\,\mathcal A_{\perp}\,\widetilde{G}_V\Big)^2 \,, \nonumber \\
&&\mathcal A^2_{AVT} = \Big(\mathcal A_0\,G_A + \frac{\sqrt{q^2}}{m_l}\,\mathcal A_{T_0}\,T_L\Big)^2 +
\Big(\mathcal A_{||}\,G_A + \frac{\sqrt{q^2}}{m_l}\,\mathcal A_{T_2}\,T_L\Big)^2 +
\Big(\mathcal A_{\perp}\,G_V + \frac{\sqrt{q^2}}{m_l}\,\mathcal A_{T_1}\,T_L\Big)^2\,, \nonumber \\
&&\widetilde{\mathcal A}^2_{AVT} = \Big(\mathcal A_0\,\widetilde{G}_A + \frac{\sqrt{q^2}}{m_l}\,\mathcal A_{T_0}\,\widetilde{T}_L\Big)^2 +
\Big(\mathcal A_{||}\,\widetilde{G}_A + \frac{\sqrt{q^2}}{m_l}\,\mathcal A_{T_2}\,\widetilde{T}_L\Big)^2 +
\Big(\mathcal A_{\perp}\,\widetilde{G}_V + \frac{\sqrt{q^2}}{m_l}\,\mathcal A_{T_1}\,\widetilde{T}_L\Big)^2\,,\nonumber \\
&&\mathcal{A}_{tP}=\mathcal{A}_t\,G_A + \frac{\sqrt{q^2}}{m_l}\,\mathcal{A}_P\,G_P \,,\qquad\qquad
\mathcal{\widetilde{A}}_{tP}=\mathcal{A}_t\,\widetilde{G}_A + \frac{\sqrt{q^2}}{m_l}\,\mathcal{A}_P\,\widetilde{G}_P\end{aligned}$$

and

$$\begin{aligned}
&&\mathcal{A}_\parallel=\frac{2(m_{B_q}+m_V)A_1(q^2)}{\sqrt 2}\,,\qquad
\mathcal{A}_\perp=-\frac{4m_{B_q}V(q^2)|\vec p_V|}{\sqrt{2}(m_{B_q}+m_V)}\,,\qquad
\mathcal A_{T_1}=-\frac{8\sqrt{2}\,m_{B_q}\,|\overrightarrow{p}_V|}{\sqrt{q^2}}\,T_1\,, \nonumber \\
&&\mathcal{A}_t=\frac{2m_{B_q}|\vec p_V|A_0(q^2)}{\sqrt {q^2}}\,,\qquad
\mathcal{A}_P=-\frac{2m_{B_q}|\vec p_V|A_0(q^2)}{(m_b(\mu)+m_c(\mu))}\,, \qquad
\mathcal A_{T_2}=-\frac{4\sqrt{2}(m_{B_q}^2 - m_{V}^2)}{\sqrt{q^2}}\,T_2\,, \nonumber \\
&&\mathcal{A}_0=\frac{1}{2\,m_V\,\sqrt{q^2}}\Big[\Big(\,m_{B_q}^2-m_V^2-q^2\Big)(m_{B_q}+m_V)A_1(q^2)\,-\,\frac{4M_B^2|\vec p_V|^2}{m_{B_q}+m_V}A_2(q^2)
\Big]\,, \nonumber\\
&&\mathcal A_{T_0} = \frac{2}{m_V}\,\Big[-\Big(m_{B_q}^2 + 