I want to check whether my result for the invariant amplitude of the electron-electron scattering (to lowest order in $\alpha$; t+u channels) is correct or not.
I can't find any reference that has the result explicitly. Can someone point out some kind of database of scattering amplitudes?
Edit: for completeness I post my result (which might have an error) $$|\mathcal{M}|^2=\frac{2e^4}{u^2t^2}\left((s^2-8m^4)[(t+u)^2+u^4+t^4]+8m^2ut(4m^2-3s)\right)$$
Update: I managed to do the calculation using CompHEP+Mathematica.
On CompHEP I selected the QED model and calculated the diagrams for $e^-e^- \rightarrow e^-e^-$ from which I get the two contributions to the process (t+u channels). Then I exported the symbolic computation of the squared diagrams to Mathematica code which gives $$ \frac{2e^4}{t^2 \left(-4 m^2+s+t\right)^2} (64 m^8+16 m^6 (t-6 s)+4 m^4 \left(13 s^2+3 s t+3 t^2\right)-4 m^2 \left(3 s^3+3 s^2 t+3 s t^2+2 t^3\right)+\left(s^2+s t+t^2\right)^2)$$ where the denominator is clearly $t^2u^2$ by using $s+t+u=4m^2$ but the rest is not so trivial to put in the same form as my equation for $|\mathcal{M}|^2$. So if I substitute the value of $u$ on my first equation I get something that doesn't look anything like the second equation. Therefore my first equation is wrong.
Note: I compared the second equation with the expression for the differential cross section of the Møller scattering from a book and it is consistent.
