}_{g},b_{1},b_{2})
   \nonumber \\ & &
   \big\{ {\phi}_{B1}\, \big[ {\phi}_{M}^{a}\,
   \big( {\phi}_{M^{\prime}}^{p}- {\phi}_{M^{\prime}}^{t}\big)\,
   \big( x_{1}+\bar{x}_{3}-2\big)
   + {\phi}_{M^{\prime}}^{a}\, \big( {\phi}_{M}^{p}
   +{\phi}_{M}^{t} \big)\, \big( 2-x_{2}\big) \big]
   \nonumber \\ & & -
  {\phi}_{B2}\,\big[ {\phi}_{M}^{a}\, \big( {\phi}_{M^{\prime}}^{p}-
  {\phi}_{M^{\prime}}^{t}\big)\, \big( x_{1}-x_{3}\big)
   + {\phi}_{M^{\prime}}^{a}\, \big( {\phi}_{M}^{p}
  +{\phi}_{M}^{t} \big) \big] \big\}_{b_{2}=b_{3}}
   \label{amp-a03-03},
   \end{eqnarray}
 
 
   \begin{eqnarray}
   \mathcal{A}_{h}^{LL} &=&
  {\int} dx_{1}\,dx_{2}\,dx_{3}\,db_{1}\,db_{2}\,
   C_{i}(t_{h})\, {\alpha}_{s}(t_{h})\,
   H_{gh}({\omega}_{g},{\beta}_{h},b_{1},b_{2})
   \nonumber \\ & &
   \big\{ \big( {\phi}_{B1}-{\phi}_{B2} \big)
   \big( \bar{x}_{3}-x_{1} \big) \big[
  {\phi}_{M}^{a}\,{\phi}_{M^{\prime}}^{a}
  +\big({\phi}_{M}^{p}+{\phi}_{M}^{t} \big)\,
   \big( {\phi}_{M^{\prime}}^{p}-{\phi}_{M^{\prime}}^{t} \big) \big]
   \nonumber \\ & &
  +{\phi}_{B1}\, x_{2}\, \big({\phi}_{M}^{p}-{\phi}_{M}^{t}\big)\,
   \big({\phi}_{M^{\prime}}^{p} +{\phi}_{M^{\prime}}^{t} \big)
   \big\}_{b_{2}=b_{3}}
   \label{amp-a04-01},
   \end{eqnarray}
 
   \begin{eqnarray}
   \mathcal{A}_{h}^{LR} &=&
  {\int} dx_{1}\,dx_{2}\,dx_{3}\,db_{1}\,db_{2}\,
   C_{i}(t_{h})\, {\alpha}_{s}(t_{h})\,
   H_{gh}({\omega}_{g},{\beta}_{h},b_{1},b_{2})
   \nonumber \\ & &
   \big\{ \big( {\phi}_{B1}-{\phi}_{B2} \big)\,
   \big(\bar{x}_{3}-x_{1}\big)\,
   \big({\phi}_{M}^{p}-{\phi}_{M}^{t}\big)\,
   \big({\phi}_{M^{\prime}}^{p}+{\phi}_{M^{\prime}}^{t}\big)
   \nonumber \\ & & +\,
  {\phi}_{B1}\,x_{2}\, \big[ {\phi}_{M}^{a}\,{\phi}_{M^{\prime}}^{a}
   + \big({\phi}_{M}^{p}+ {\phi}_{M}^{t}\big)\,
   \big( {\phi}_{M^{\prime}}^{p}-{\phi}_{M^{\prime}}^{t} \big)
   \big] \big\}_{b_{2}=b_{3}}
   \label{amp-a04-02},
   \end{eqnarray}
 
   \begin{eqnarray}
   \mathcal{A}_{h}^{SP} &=&
  {\int} dx_{1}\,dx_{2}\,dx_{3}\,db_{1}\,db_{2}\,
   C_{i}(t_{h})\, {\alpha}_{s}(t_{h})\,
   H_{gh}({\omega}_{g},{\beta}_{h},b_{1},b_{2})
   \nonumber \\ & &
   \big\{ {\phi}_{B1}\, \big[ x_{2}\, {\phi}_{M^{\prime}}^{a}\,
   \big({\phi}_{M}^{p}+{\phi}_{M}^{t}\big)
   + \big(x_{1}-\bar{x}_{3}\big)\,
   {\phi}_{M}^{a}\,\big( {\phi}_{M^{\prime}}^{p}
  -{\phi}_{M^{\prime}}^{t} \big) \big]
   \nonumber \\ & & -\,
  {\phi}_{B2}\, x_{2}\, {\phi}_{M^{\prime}}^{a}\,
   \big({\phi}_{M}^{p}+{\phi}_{M}^{t}\big) \big\}_{b_{2}=b_{3}}
   \label{amp-a04-03},
   \end{eqnarray}
 
 
    \begin{equation}
    H_{cd}({\alpha},{\beta},b_{i},b_{j})\, =\,
    b_{i}\,b_{j}\, \big\{ {\theta}(b_{i}-b_{j})\,
    K_{0}\big(b_{i}\sqrt{{\alpha}}\big)\,
    I_{0}\big(b_{j}\sqrt{{\alpha}}\big)
    +\big(b_{i}\,{\leftrightarrow}\,b_{j}\big)
    \big\}\,K_{0}\big(b_{j}\sqrt{{\beta}}\big)
    \label{amp-e03-04},
    \end{equation}
 
    \begin{eqnarray}
    H_{ef}({\omega},{\beta},b_{i},b_{j}) &=&
    -\frac{{\pi}^{2}}{4}\,b_{i}\,b_{j}\,
    \big\{ {\theta}(b_{i}-b_{j})\, \big[
    J_{0}\big(b_{i}\sqrt{{\beta}}\big)
    +i\,Y_{0}\big(b_{i}\sqrt{{\beta}}\big) \big]\,
    J_{0}\big(b_{j}\sqrt{{\beta}}\big)
    \nonumber \\ & & \hspace{0.1\textwidth}
    +\big(b_{i}\,{\leftrightarrow}\,b_{j}\big) \big\}
    \big\{ J_{0}\big(b_{i}\sqrt{\omega}\big)
    +i\,Y_{0}\big(b_{i}\sqrt{\omega}\big) \big\}
    \label{amp-a01-04},
    \end{eqnarray}
 
    \begin{eqnarray}
    H_{gh}({\omega},{\beta},b_{i},b_{j}) &=&
    i\,\frac{{\pi}}{2}\,b_{i}\,b_{j}\, \big\{ \big[
     J_{0}\big(b_{i}\sqrt{{\omega}}\big)+i\,
     Y_{0}\big(b_{i}\sqrt{{\omega}}\big) \big]\,
     J_{0}\big(b_{j}\sqrt{{\omega}}\big)
    +\big(b_{i}\,{\leftrightarrow}\,b_{j}\big) \big\}
    \nonumber \\ & & \hspace{-0.01\textwidth}
    \big\{ i\,\frac{\pi}{2}\,{\theta} ({\beta})\,\big[
     J_{0}\big(b_{i}\sqrt{ {\beta}}\big)+i\,
     Y_{0}\big(b_{i}\sqrt{ {\beta}}\big) \big] +
   {\theta}(-{\beta})\,K_{0}\big(b_{i}\sqrt{-{\beta}}\big) \big\}
    \label{amp-a03-04},
    \end{eqnarray}
 
 
   \begin{equation}
  {\alpha}_{g}\, =\, x_{1}\,x_{2}\,m_{B}^{2}
   \label{amp-e01-05},
   \end{equation}
 
   \begin{equation}
  {\omega}_{g}\, =\, x_{2}\,\bar{x}_{3}\,m_{B}^{2}
   \label{amp-a01-05},
   \end{equation}
 
   \begin{equation}
  {\beta}_{a}\, =\, x_{2}\,m_{B}^{2}
   \label{amp-e01-06},
   \end{equation}
 
   \begin{equation}
  {\beta}_{b}\, =\, x_{1}\,m_{B}^{2}
   \label{amp-e02-06},
   \end{equation}
 
   \begin{equation}
  {\beta}_{c}\, =\,x_{2}\, ( x_{1}-\bar{x}_{3} )\, m_{B}^{2}
   \label{amp-e03-06},
   \end{equation}
 
   \begin{equation}
  {\beta}_{d}\, =\,x_{2}\,( x