2010

A recursive approach to the reduction of tensor Feynman integrals

Diakonidis, Theodoros, Fleischer, Jochem, Riemann, Tord et al.

Understand

We describe a new, convenient, recursive tensor integral reduction scheme for one-loop $n$-point Feynman integrals.

The reduction is based on the algebraic Davydychev-Tarasov formalism where the tensors are represented by scalars with shifted dimensions and indices, and then expressed by conventional scalars with generalized recurrence relations.
The scheme is worked out explicitly for up to $n=6$ external legs and for tensor ranks $R\leq n$.
The tensors are represented by scalar one- to four-point functions in $d$ dimensions.

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T. Diakonidis, J. Fleischer, T. Riemann, and J. B. Tausk, A recursive reduction of tensor Feynman integrals
Original
2010
Closest in time.
J. Fleischer and F. Jegerlehner, Radiative Corrections to Higgs Decays in the Extended Weinberg-Salam Model
2026
Closest in time.

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