Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2012-02-03
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, 1 figure. Contribution to Proceedings of "10th International Symposium on Radiative Corrections (Applications of Quan
Scientific paper
We report on some recent developments in algebraic tensor reduction of one-loop Feynman integrals. For 5-point functions, an efficient tensor reduction was worked out recently and is now available as numerical C++ package, PJFry, covering tensor ranks until five. It is free of inverse 5-point Gram determinants, and inverse small 4-point Gram determinants are treated by expansions in higher-dimensional 3-point functions. By exploiting sums over signed minors, weighted with scalar products of chords (or, equivalently, external momenta), extremely efficient expressions for tensor integrals contracted with external momenta were derived. The evaluation of 7-point functions is discussed. In the present approach one needs for the reductions a $(d+2)$-dimensional scalar 5-point function in addition to the usual scalar basis of 1- to 4-point functions in the generic dimension $d=4-2 \epsilon$. When exploiting the four-dimensionality of the kinematics, this basis is sufficient. We indicate how the $(d+2)$-dimensional 5-point function can be evaluated.
Fleischer Jochem
Riemann Tord
Yundin Valery
No associations
LandOfFree
New results for algebraic tensor reduction of Feynman integrals does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with New results for algebraic tensor reduction of Feynman integrals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New results for algebraic tensor reduction of Feynman integrals will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-5045