Paper Citation Record · LEDGER

Reducing full one-loop amplitudes to scalar integrals at the integrand level

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 18 inbound Pith citation observations for arXiv:hep-ph/0609007.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
hep-ph/0609007 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 18 of 18 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:55:26.425229Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
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External citation measurements

729
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation a94a88f6-eefc-4491-b22a-d710671e158e · inbound

The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations cites this paper.

The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-11T12:52:14.217273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0da2d300-7ee8-4cfa-87d0-7c8b267bae01 · inbound

A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons cites this paper.

A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-05-25T14:35:56.993204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a73d10f5-c88f-4284-9e89-7c11ea8e585c · inbound

Multi-Quark Colour Decompositions from Unitarity cites this paper.

Multi-Quark Colour Decompositions from Unitarity Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-14T14:55:26.425229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5c66e1f-7413-4d1e-83c1-f1d1210c47dd · inbound

Gravity loop integrands from the ultraviolet cites this paper.

Gravity loop integrands from the ultraviolet Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-14T05:08:29.286439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37c4cec9-04d6-449a-82ba-b339641bff39 · inbound

Renormalization of effective field theories via on-shell methods: the case of axion-like particles cites this paper.

Renormalization of effective field theories via on-shell methods: the case of axion-like particles Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 89

Resolution: unresolved; no resolver link, observed 2026-08-11T21:49:44.074795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7af12653-00ee-4897-af34-49f128b6cad7 · inbound

Feynman Integral Reduction without Integration-By-Parts cites this paper.

Feynman Integral Reduction without Integration-By-Parts Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-05-23T07:05:29.485466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9b04ed74-6bcb-4c0c-a2e7-7d96d5ada7fc · inbound

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function cites this paper.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.348536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94c1e4c3-f9df-44d0-9c2a-9c584f74db81 · inbound

{\tt ggxy}: a flexible library to compute gluon-induced cross sections cites this paper.

{\tt ggxy}: a flexible library to compute gluon-induced cross sections Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T10:50:51.069181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3f3f1ab-8f4b-4f8d-952d-977feb498020 · inbound

Tensor Reduction of Sunset by Generating Function cites this paper.

Tensor Reduction of Sunset by Generating Function Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T15:44:57.152524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f348b8eb-65d5-45b8-b2ee-5feea4253932 · inbound

Complete NLO corrections to off-shell $\boldsymbol{t\bar{t}}$ production in the $\boldsymbol{\ell+j}$ decay channel cites this paper.

Complete NLO corrections to off-shell $\boldsymbol{t\bar{t}}$ production in the $\boldsymbol{\ell+j}$ decay channel Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-05-16T20:43:24.875782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 85839be9-8af0-4921-8624-804492649283 · inbound

Complete NLO corrections to off-shell $\boldsymbol{t\bar{t}}$ production in the $\boldsymbol{\ell+j}$ decay channel cites this paper.

Complete NLO corrections to off-shell $\boldsymbol{t\bar{t}}$ production in the $\boldsymbol{\ell+j}$ decay channel Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-03T15:06:58.989047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71779035-a30d-49fe-a503-9c09889812b5 · inbound

Twisted Feynman Integrals: from generating functions to spin-resummed post-Minkowskian dynamics cites this paper.

Twisted Feynman Integrals: from generating functions to spin-resummed post-Minkowskian dynamics Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-05-16T19:58:23.408563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c1c49b8f-6e1e-42a5-a307-20f5cb1628c2 · inbound

QCD Scattering Amplitudes and Prescriptive Unitarity cites this paper.

QCD Scattering Amplitudes and Prescriptive Unitarity Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T05:18:14.306377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e34bd833-a431-4965-bf09-d3f43570f581 · inbound

Pseudo-Evanescent Feynman Integrals from Local Subtraction cites this paper.

Pseudo-Evanescent Feynman Integrals from Local Subtraction Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:21:07.888386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a24d09eb-9b5e-4e32-8dd0-689f01b3499b · inbound

Monte Carlo Event Generators for Future Lepton Colliders cites this paper.

Monte Carlo Event Generators for Future Lepton Colliders Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-06-26T12:09:28.435555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8bc5964e-66d1-40de-8d29-402463e97f5d · inbound

An Optimal Transportation Approach for Improved Confidence Intervals cites this paper.

An Optimal Transportation Approach for Improved Confidence Intervals Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-12T13:00:43.137180Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de27a48d-eac9-416a-a7a1-b1324d0c46ca · inbound

Planar loop integrands from cuts in $D$ dimensions cites this paper.

Planar loop integrands from cuts in $D$ dimensions Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 52

Resolution: verified exact; local_arxiv, observed 2026-07-01T17:25:51.112120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 80093f17-a847-40f2-8467-3bf0976f9130 · inbound

Multi-scale improved predictions for $\boldsymbol{pp \to t\bar{t}W^+ +X}$ cites this paper.

Multi-scale improved predictions for $\boldsymbol{pp \to t\bar{t}W^+ +X}$ Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 49

Resolution: unresolved; no resolver link, observed 2026-07-14T04:05:56.860770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.