A Recursive reduction of tensor Feynman integrals
Jul, 2009
6 pages
Published in:
- Phys.Lett.B 683 (2010) 69-74
e-Print:
- 0907.2115 [hep-ph]
Report number:
- DESY-09-101,
- BI-TP-2009-15,
- HEPTOOLS-09-020,
- SFB-CPP-09-63
View in:
Citations per year
Abstract: (Elsevier)
We perform a new, recursive reduction of one-loop n -point rank R tensor Feynman integrals [in short: ( n , R ) -integrals] for n ⩽ 6 with R ⩽ n by representing ( n , R ) -integrals in terms of ( n , R − 1 ) - and ( n − 1 , R − 1 ) -integrals. We use the known representation of tensor integrals in terms of scalar integrals in higher dimension, which are then reduced by recurrence relations to integrals in generic dimension. With a systematic application of metric tensor representations in terms of chords, and by decomposing and recombining these representations, a recursive reduction for the tensors is found. The procedure represents a compact, sequential algorithm for numerical evaluations of tensor Feynman integrals appearing in next-to-leading order contributions to massless and massive three- and four-particle production at LHC and ILC, as well as at meson factories.- NLO computations
- QCD
- QED
- Feynman integrals
- representation: tensor
- Feynman graph: higher-order
- higher-dimensional
- CERN LHC Coll
- ILC Coll
- n-point function
References(0)
Figures(0)
Loading ...