[Tex/LaTex] How to choose the location of equation numbering

equationsnumbering

The location of the equation numbering is placed automatically. How is it possible to choose where should it be? For example in the attached picture the index G.13 appears at the bottom, how can I put in the second line?
I tried to work with \nonumber but didn't manage to.enter image description here

code:

\begin{equation}\begin{split}
&\widetilde{K}(x_{\perp},\, y_{\perp},\, z_{\perp},\, z_{\perp}^{\prime})\,=\,\frac{\alpha_{s}^{2}}{16\pi^{4}\left((X^{\prime})^{2}Y^{2}-X^{2}(Y^{\prime})^{2}\right)}\left(\frac{(Y^{\prime})^{2}}{Z^{2}}-\frac{(Y^{\prime})^{4}X^{2}}{(X^{\prime})^{2}Z^{2}Y^{2}}-\frac{Y^{4}(X^{\prime})^{2}}{Z^{2}X^{2}(Y^{\prime})^{2}}+\frac{Y^{2}}{Z^{2}}\right.\\
&+\frac{(X^{\prime})^{2}Y^{2}}{Z^{2}(Y^{\prime})^{2}}-\frac{X^{2}}{Z^{2}}-\frac{(X^{\prime})^{2}}{Z^{2}}+\frac{X^{2}(Y^{\prime})^{2}}{Z^{2}Y^{2}}+\frac{(X^{\prime})^{2}(X-Y)^{2}}{X^{2}Z^{2}}-\frac{(Y^{\prime})^{2}(X-Y)^{2}}{Z^{2}Y^{2}}-\frac{Y^{2}(X-Y)^{2}}{Z^{2}(Y^{\prime})^{2}}\\
&\left.+\frac{X^{2}(X-Y)^{2}}{(X^{\prime})^{2}Z^{2}}+\frac{Y^{2}(X-Y)^{2}}{X^{2}(Y^{\prime})^{2}}-\frac{(X-Y)^{2}}{(X^{\prime})^{2}}-\frac{(X-Y)^{2}}{X^{2}}+\frac{(Y^{\prime})^{2}(X-Y)^{2}}{(X^{\prime})^{2}Y^{2}}\right)\ln\left(\frac{X^{2}}{(X^{\prime})^{2}}\right)+\left(x_{\perp}\leftrightarrow y_{\perp}\right),\\
\end{split}\end{equation}

Best Answer

I propose one of these three solutions:

Either use the fleqn environment from nccmath, which aligns equations on the leftmargin, and an `aligned environment. It requires $4$ lines for the equation to fit between margins.

Or use the flalign environment from amsmath. It requires only $3$ lines, and the placement of the tag in on the middle line, using `\notag on the 1st and last lines.

Or use the split environment, and \mathrlap for the end of the third line which is a little too long, whereas it doesn't require space for the equation number. I also simplified your code, replacing (…^{\prime})^2 with a simple …'^2, and for a better spacing, I replaced the many \left( … \right) pairs with \biggl( … \biggr), or ( … ), if they were not necessary.

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[showframe]{geometry}%
 \usepackage{mathtools, nccmath}

\begin{document}

\mbox{}
  \begin{equation}
    \begin{aligned}\widetilde{K}(x_{ ⊥ },\, y_{ ⊥ },\, z_{ ⊥ },\, z_{ ⊥ }^{\prime}) = {} & \frac{\alpha_{s}^{2}}{16\pi^{4}(X'^{2}Y^{2}-X^{2}Y'^{2})} \biggl[\frac{Y'^{2}}{Z^{2}}-\frac{Y'^{4}X^{2}}{X'^{2}Z^{2}Y^{2}} - \frac{Y^{4}X'^{2}}{Z^{2}X^{2}Y'^{2}} \\%
          & + \frac{Y^{2}}{Z^{2}} + \frac{X'^{2}Y^{2}}{Z^{2}Y'^{2}} - \frac{X^{2}}{Z^{2}} - \frac{X'^{2}}{Z^{2}} + \frac{X^{2}Y'^{2}}{Z^{2}Y^{2}} + \frac{X'^{2}(X-Y)^{2}}{X^{2}Z^{2}} \\ %
          & - \frac{Y'^{2}(X-Y)^{2}}{Z^{2}Y^{2}} - \frac{Y^{2}(X-Y)^{2}}{Z^{2}Y'^{2}} +\frac{X^{2}(X-Y)^{2}}{X'^{2}Z^{2}}+\frac{Y^{2}(X-Y)^{2}}{X^{2}Y'^{2}} \\
          & - \frac{(X-Y)^{2}}{X'^{2}} - \frac{(X-Y)^{2}}{X^{2}} + \frac{Y'^{2}(X-Y)^{2}}{X'^{2}Y^{2}}\biggr] \ln\biggl(\frac{X^{2}}{X'^{2}}\biggr) + (x_{ ⊥ }\leftrightarrow y_{ ⊥ }),
      \end{aligned}
    \end{equation}
    \bigskip

    \begin{flalign} & \widetilde{K}(x_{ ⊥ } ,\, y_{ ⊥ },\, z_{ ⊥ },\, z_{ ⊥ }') = \frac{\alpha_{s}^{2}}{16\pi^{4}(X'^{2}Y^{2}-X^{2}Y'^{2})} \left[\frac{Y'^{2}}{Z^{2}}-\frac{Y'^{4}X^{2}}{X'^{2}Z^{2}Y^{2}} - \frac{Y^{4}X'^{2}}{Z^{2}X^{2}Y'^{2}} + \frac{Y^{2}}{Z^{2}} \right. \notag\\%
        & + \frac{X'^{2}Y^{2}}{Z^{2}Y'^{2}} - \frac{X^{2}}{Z^{2}} - \frac{X'^{2}}{Z^{2}} + \frac{X^{2}Y'^{2}}{Z^{2}Y^{2}} + \frac{X'^{2}(X-Y)^{2}}{X^{2}Z^{2}} - \frac{Y'^{2}(X-Y)^{2}}{Z^{2}Y^{2}} - \frac{Y^{2}(X-Y)^{2}}{Z^{2}Y'^{2}} \\ %
      & +\frac{X^{2}(X-Y)^{2}}{X'^{2}Z^{2}}+\frac{Y^{2}(X-Y)^{2}}{X^{2}Y'^{2}} -\frac{(X-Y)^{2}}{X'^{2}}-\frac{(X-Y)^{2}}{X^{2}}+ \frac{Y'^{2}(X-Y)^{2}}{X'^{2}Y^{2}}\biggr]\!\ln\biggl(\frac{X^{2}}{X'^{2}}\biggr)+(x_{ ⊥ }\leftrightarrow y_{ ⊥ }),\notag
    \end{flalign}
    \bigskip

    \begin{equation}
    \begin{split}
     & \widetilde{K}(x_{\perp},\, y_{\perp},\, z_{\perp},\, z_{\perp}^{\prime}) = \frac{\alpha_{s}^{2}}{16\pi^{4}(X'^{2}Y^{2}-X^{2}Y'^{2})}%
    \biggl[\frac{Y'^{2}}{Z^{2}}-\frac{Y'^{4}X^{2}}{X'^{2}Z^{2}Y^{2}}%
    -\frac{Y^{4}X'^{2}}{Z^{2}X^{2}Y'^{2}}\mathrlap{+\frac{Y^{2}}{Z^{2}}}\\
    {}+{} &\frac{X'^{2}Y^{2}}{Z^{2}Y'^{2}}-\frac{X^{2}}{Z^{2}}-\frac{X'^{2}}{Z^{2}}%
    +\frac{X^{2}Y'^{2}}{Z^{2}Y^{2}}+\frac{X'^{2}(X-Y)^{2}}{X^{2}Z^{2}}%
    -\frac{Y'^{2}(X-Y)^{2}}{Z^{2}Y^{2}}-\frac{Y^{2}(X-Y)^{2}}{Z^{2}Y'^{2}}\\
    {}+{} &\frac{X^{2}(X-Y)^{2}}{X'^{2}Z^{2}}+\frac{Y^{2}(X-Y)^{2}}{X^{2}Y'^{2}}%
    -\frac{(X-Y)^{2}}{X'^{2}}-\frac{(X-Y)^{2}}{X^{2}}%
    +\frac{Y'^{2}(X-Y)^{2}}{X'^{2}Y^{2}}\biggr]\!\ln\biggl(\frac{X^{2}}{X'^{2}}\biggr)%
    +(x_{\perp}\mathrlap{\leftrightarrow y_{\perp}),}
    \end{split}
    \end{equation}

\end{document} 

enter image description here