On the asymptotic behavior of Feynman diagrams

A theorem generalizing Weinberg's theorem on the asymptotic behavior of Feynman diagrams is proved. In the theorem one considers not only the principal terms but also the subsequent terms of the asymptotic behavior. It is shown that when the momenta tend to infinity in the Euclidean domain the regularized matrix elements of the Feynman diagrams can be represented as polynomials in powers of the momenta and their logarithms, plus terms that decrease faster than any negative power of the momenta.