Syzygy solutions for IBP reduction are systematically constructed as maximal minors of certificate matrices derived from the leading Landau singularities of Feynman diagrams.
Complete reduction of integrals in two-loop five-light-parton scattering amplitudes
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
abstract
We reduce all the most complicated Feynman integrals in two-loop five-light-parton scattering amplitudes to basic master integrals, while other integrals can be reduced even easier. Our results are expressed as systems of linear relations in the block-triangular form, very efficient for numerical calculations. Our results are crucial for complete next-to-next-to-leading order quantum chromodynamics calculations for three-jet, photon, and/or hadron production at hadron colliders. To determine the block-triangular relations, we develop an efficient and general method, which may provide a practical solution to the bottleneck problem of reducing multiloop multiscale integrals.
representative citing papers
NNLO QCD predictions for ttW production with two-loop amplitudes evaluated explicitly in the generalised leading-colour limit.
NNLO QCD predictions for ttW production at hadron colliders using direct two-loop amplitude computation in the generalised leading-colour limit.
Kira 2.0 implements finite-field coefficient reconstruction for IBP reductions and improved user-equation handling, yielding lower memory use and faster performance on state-of-the-art problems.
citing papers explorer
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Compact Syzygies for Feynman Integrals from Landau Singularities
Syzygy solutions for IBP reduction are systematically constructed as maximal minors of certificate matrices derived from the leading Landau singularities of Feynman diagrams.
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NNLO QCD predictions for $t\bar{t}W$ production at the LHC
NNLO QCD predictions for ttW production with two-loop amplitudes evaluated explicitly in the generalised leading-colour limit.
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NNLO QCD predictions for $t\bar t W$ production at hadron colliders
NNLO QCD predictions for ttW production at hadron colliders using direct two-loop amplitude computation in the generalised leading-colour limit.
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Integral Reduction with Kira 2.0 and Finite Field Methods
Kira 2.0 implements finite-field coefficient reconstruction for IBP reductions and improved user-equation handling, yielding lower memory use and faster performance on state-of-the-art problems.