Tensor decomposition for bosonic and fermionic scattering amplitudes

In this paper, we elaborate on a method to decompose multiloop multileg scattering amplitudes into Lorentz-invariant form factors, which exploits the simplifications that arise from considering four-dimensional external states. We propose simple and general approach applies both fermionic bosonic allows us identify minimal number of physically relevant can be related one-to-one independent helicity amplitudes. discuss explicitly its applicability various four- five-point for LHC physics.