Techniques for one-loop tensor integrals in many-particle processes

We briefly sketch the methods for a numerically stable evaluation of tensor one-loop integrals that have been used in the calculation of the complete electroweak one-loop corrections to e+e−→4 fermions. In particular, the improvement of the new methods over the conventional Passarino–Veltman reduction is illustrated for some 4-point integrals in the delicate limits of small Gram (and other kinematical) determinants.