Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-04-28
Can.J.Phys. 78 (2000) 769-777
Physics
High Energy Physics
High Energy Physics - Theory
6 pages, 7 figures, Revtex
Scientific paper
10.1139/cjp-78-8-769
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.
Schmidt Alexandre G. M.
Suzuki Alfredo T.
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