Otro
Negative dimensional approach for scalar two-loop three-point and three-loop two-point integrals
Registro en:
Canadian Journal of Physics. Ottawa: Natl Research Council Canada, v. 78, n. 8, p. 769-777, 2000.
0008-4204
10.1139/cjp-78-8-769
WOS:000089523800004
Autor
Suzuki, A. T.
Schmidt, AGM
Resumen
The well-known D-dimensional Feynman integrals were shown, by Halliday and Ricotta, to be capable of undergoing analytic continuation into the domain of negative values for the dimension of space-time. Furthermore, this could be identified with Grassmannian integration in positive dimensions. From this possibility follows the concept of negative-dimensional integration for loop integrals in field theories. Using this technique, we evaluate three two-loop three-point scalar integrals, with five and six massless propagators, with specific external kinematic configurations (two legs on-shell), and four three-loop two-point scalar integrals. These results are given for arbitrary exponents of propagators and dimension, in Euclidean space, and the particular cases compared to results published in the literature.