DOI 10.1007/s100529900074
Feynman integrals with tensorial structure
in the negative dimensional integration scheme
A.T. Suzuki - A.G.M. Schmidt
Universidade Estadual Paulista - Instituto de Física Teórica, R.Pamplona, 145, São Paulo SP CEP 01405-900, Brazil
Received: 3 November 1998 /Published online: 3 August 1999
Abstract
The negative-dimensional integration method (NDIM) is revealing itself as a very
useful technique for computing massless and/or massive Feynman integrals,
covariant and noncovariant alike. Up until now, however, the illustrative
calculations done using such method have been mostly covariant scalar
integrals,
without numerator factors. We show here how those integrals with tensorial
structures also can be handled straightforwardly and easily.
However, contrary to the absence of significant features in the usual approach,
here the NDIM also allows us to come across surprising unsuspected bonuses.
Toward this end, we present two alternative ways of working out the integrals
and
illustrate them by taking the easiest Feynman integrals in this category that
emerge in the computation of a standard one-loop self-energy diagram. One of
the novel and heretofore unsuspected bonuses is that there are degeneracies in
the
way one can express the final result for the referred Feynman integral.
Copyright Springer-Verlag
