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Analytic representation of all planar two-loop five-point Master Integrals with one off-shell leg

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arxiv 2009.13917 v2 pith:F3PNNSDV submitted 2020-09-29 hep-ph hep-th

Dhimiter D. Canko , Costas G. Papadopoulos , Nikolaos Syrrakos This is my paper · ORCID
classification hep-phhep-th
keywords analyticfive-pointintegralsmasteroff-shellplanartwo-loopapproach
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present analytic expressions in terms of polylogarithmic functions for all three families of planar two-loop five-point Master Integrals with one off-shell leg. The calculation is based on the Simplified Differential Equations approach. The results are relevant to the study of many $2\to 3$ scattering processes of interest at the LHC, especially for the leading-color $W+2$ jets production.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Complete function space for planar two-loop six-particle scattering amplitudes

    hep-ph 2025-01 conditional novelty 8.0 of 10

    Planar two-loop six-particle massless master integrals are solved analytically up to weight four as Chen iterated integrals, with a complete 245-letter alphabet and a validated numerical implementation.

  2. Planar Six-Point Feynman Integrals for Four-Dimensional Gauge Theories

    hep-ph 2024-12 accept novelty 8.0 of 10

    All planar two-loop six-point master integrals for four-dimensional gauge theories are computed, and nine-propagator topologies are shown to decouple in the four-dimensional limit.

  3. Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes

    hep-ph 2026-03 accept novelty 7.0 of 10

    First analytic two-loop leading-colour amplitudes for top-Yukawa-induced b bbar H production in the heavy-top limit, with Mathematica and C++ code.

  4. Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons

    hep-th 2025-12 conditional novelty 7.0 of 10

    A general two-loop formula is obtained for all n-point 10d null polygon correlators in planar N=4 SYM, expressed in a conformal-integral basis and verified numerically at 11 points.

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