Numerical Approach to One-Loop Integrals
نویسندگان
چکیده
منابع مشابه
Recursive numerical calculus of one - loop tensor integrals
A numerical approach to compute tensor integrals in one-loop calculations is presented. The algorithm is based on a recursion relation which allows to express high rank tensor integrals as a function of lower rank ones. At each level of iteration only inverse square roots of Gram determinants appear. For the phase-space regions where Gram determinants are so small that numerical problems are ex...
متن کاملDimensionally Regulated One-Loop Integrals
We describe methods for evaluating one-loop integrals in 4−2 dimensions. We give a recursion relation that expresses the scalar n-point integral as a cyclicly symmetric combination of (n− 1)point integrals. The computation of such integrals thus reduces to the calculation of box diagrams (n = 4). The tensor integrals required in gauge theory may be obtained by differentiating the scalar integra...
متن کاملA Fully Numerical Approach to One-Loop Amplitudes
We suggest a new approach for the automatic and fully numerical evaluation of oneloop scattering amplitudes in perturbative quantum field theory. We use suitably formulated dispersion relations to perform the calculation as a convolution of treelevel amplitudes. This allows to take advantage of the iterative numerical algorithms for the evaluation of leading order matrix elements. Preprint subm...
متن کاملgolem95: A numerical program to calculate one-loop tensor integrals with up to six external legs
Golem95: a numerical program to calculate one-loop tensor integrals with up to six external legs Abstract We present a program for the numerical evaluation of form factors entering the calculation of one-loop amplitudes with up to six external legs. The program is written in Fortran95 and performs the reduction to a certain set of basis integrals numerically, using a formalism where inverse Gra...
متن کاملScalar One-Loop Integrals using the Negative-Dimension Approach
We study massive one-loop integrals by analytically continuing the Feynman integral to negative dimensions as advocated by Halliday and Ricotta and developed by Suzuki and Schmidt. We consider n-point one-loop integrals with arbitrary powers of propagators in general dimension D. For integrals with m mass scales and q external momentum scales, we construct a template solution valid for all n wh...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1992
ISSN: 0033-068X
DOI: 10.1143/ptp.87.1233