An Algorithm to Compute Born Scattering Amplitudes without Feynman Graphs

Details An Algorithm to Compute Born Scattering Amplitudes without Feynman Graphs An Algorithm to Compute Born Scattering Amplitudes without Feynman Graphs

1995-07-05

arxiv.org/abs/hep-ph/9507237v1

Phys.Lett.B358:332-338,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages , latex, 2 postscript figures appended

Scientific paper

10.1016/0370-2693(95)00971-M

In this paper we suggest an {\it iterative} algorithm to compute automatically the scattering matrix elements of any given effective lagrangian, $\Gamma$. By exploiting the relation between $\Gamma$ and the connected Green function generator, $Z$, we provide a formula which does not require the use of the Feynman graphs and it is suitable to implement a numerical routine. By means of this algorithm we have built a relatively simple and fast fortran code which we have used to calculate, at the tree level, the rate of four fermion production at LEP I\negthinspace{I} (finding a very good agreement with previous calculation) with and without the emission of one observable photon.

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