Massless and massive one-loop three-point functions in negative dimensional approach

  • A.T. Suzuki
  • E.S. Santos
  • A.G.M. Schmidt
Theoretical Physics

DOI: 10.1140/epjc/s2002-01035-0

Cite this article as:
Suzuki, A., Santos, E. & Schmidt, A. Eur. Phys. J. C (2002) 26: 125. doi:10.1140/epjc/s2002-01035-0

Abstract.

In this article we present the complete massless and massive one-loop triangle diagram results using the negative dimensional integration method (NDIM). We consider the following cases: massless internal fields; one massive, two massive with the same mass m and three equal masses for the virtual particles. Our results are given in terms of hypergeometric and hypergeometric-type functions of the external momenta (and masses for the massive cases) where the propagators in the Feynman integrals are raised to arbitrary exponents and the dimension of the space-time is D. Our approach reproduces the known results; it produces other solutions as yet unknown in the literature as well. These new solutions occur naturally in the context of NDIM revealing a promising technique to solve Feynman integrals in quantum field theories.

Copyright information

© Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002

Authors and Affiliations

  • A.T. Suzuki
    • 1
  • E.S. Santos
    • 1
  • A.G.M. Schmidt
    • 1
  1. 1.Universidade Estadual Paulista Instituto de Física Teórica, Rua Pamplona 145 São Paulo, SP CEP 01405-900, Brazil BR
  2. 2. Universidade Federal do Paraná, Departamento de Física Caixa Postal 19044 Curitiba PR CEP 81531-990, Brazil BR

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