Paper Citation Record · LEDGER

Angular phase-space integrals with four denominators through Mellin--Barnes

As of 7 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2508.15952.

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

pith.paper-citation-record.v1
2508.15952 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T17:42:27.271575Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

verified exact4
verified fuzzy4
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9bb483bc-b8bb-4f1b-bf9f-843d40550daf · outbound

This paper cites Angular integrals in d dimensions.

Angular phase-space integrals with four denominators through Mellin--Barnes Angular integrals in d dimensions

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:25.857790Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50b3ded2-05c9-488a-9273-43d10bff71f7 · outbound

This paper cites Soft triple-real radiation for Higgs production at N3LO.

Angular phase-space integrals with four denominators through Mellin--Barnes Soft triple-real radiation for Higgs production at N3LO

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:25.984662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cbd78a44-66cd-404b-a723-45e27f49aa08 · outbound

This paper cites Phase-space integrals through Mellin-Barnes representation.

Angular phase-space integrals with four denominators through Mellin--Barnes Phase-space integrals through Mellin-Barnes representation

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:26.228365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d48cfa0a-499f-468b-809d-e1c6b6c03918 · outbound

This paper cites NNLO phase-space integrals for semi-inclusive deep-inelastic scattering.

Angular phase-space integrals with four denominators through Mellin--Barnes NNLO phase-space integrals for semi-inclusive deep-inelastic scattering

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:26.375259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 074f4dd3-7f88-4c5f-aca6-2ec711bedee2 · outbound

This paper cites Schellekens, PERTURBATIVE QCD AND LEPTON PAIR PRODUCTION (6, 1981).

Angular phase-space integrals with four denominators through Mellin--Barnes Schellekens, PERTURBATIVE QCD AND LEPTON PAIR PRODUCTION (6, 1981)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:42:28.162815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 962f39b4-d076-4b11-b370-7df539248140 · outbound

This paper cites van Neerven, Dimensional Regularization of Mass and Infrared Singularities in Two Loop On-shell Vertex Functions , Nucl.Phys.

Angular phase-space integrals with four denominators through Mellin--Barnes van Neerven, Dimensional Regularization of Mass and Infrared Singularities in Two Loop On-shell Vertex Functions , Nucl.Phys

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:42:28.143656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 7dc4f209-938c-492c-9833-0cc0e102ceac · outbound

This paper cites Beenakker, H.

Angular phase-space integrals with four denominators through Mellin--Barnes Beenakker, H

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:42:28.113102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 74ae6119-2f89-47d1-b460-d9abec1a25a4 · outbound

This paper cites New ideas for handling of loop and angular integrals in D-dimensions in QCD.

Angular phase-space integrals with four denominators through Mellin--Barnes New ideas for handling of loop and angular integrals in D-dimensions in QCD

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:26.865619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75ee01c6-bec7-4d54-b8bd-6329eadf27f2 · outbound

This paper cites Asymptotic behavior of angular integrals in the massless limit.

Angular phase-space integrals with four denominators through Mellin--Barnes Asymptotic behavior of angular integrals in the massless limit

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-05T17:42:27.948534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation e11834aa-2ec9-4edf-abc8-0c1f054bd5e0 · outbound

This paper cites Expansion by regions meets angular integrals.

Angular phase-space integrals with four denominators through Mellin--Barnes Expansion by regions meets angular integrals

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:27.062816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e65fa4a-7b54-4c86-a47c-b3a1d2db2b4b · outbound

This paper cites Haug and F.

Angular phase-space integrals with four denominators through Mellin--Barnes Haug and F

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:27.176494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7cfaa5ac-75b3-4731-ad2c-07882c49cfb6 · outbound

This paper cites Haug, V.A.

Angular phase-space integrals with four denominators through Mellin--Barnes Haug, V.A

Reference 12

Resolution: verified exact; raw_fallback, observed 2026-08-05T17:42:27.775536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a314224f-8338-44f4-af30-011edd9a9888 · outbound

This paper cites Towards semi-inclusive deep inelastic scattering at next-to-next-to-leading order.

Angular phase-space integrals with four denominators through Mellin--Barnes Towards semi-inclusive deep inelastic scattering at next-to-next-to-leading order

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-05T17:42:27.622465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2b098fff-f960-4e12-90ac-0808613ca38d · outbound

This paper cites Large Transverse Momentum in Semi-Inclusive Deeply Inelastic Scattering Beyond Lowest Order.

Angular phase-space integrals with four denominators through Mellin--Barnes Large Transverse Momentum in Semi-Inclusive Deeply Inelastic Scattering Beyond Lowest Order

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-05T17:42:27.573332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 7e5a4b88-3127-40a9-b3d3-3510d94ca011 · outbound

This paper cites Numerical evaluation of multiple polylogarithms.

Angular phase-space integrals with four denominators through Mellin--Barnes Numerical evaluation of multiple polylogarithms

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:27.201958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 547e0628-13c7-47e9-bdf9-67250c360fe2 · outbound

This paper cites HandyG -- rapid numerical evaluation of generalised polylogarithms in Fortran.

Angular phase-space integrals with four denominators through Mellin--Barnes HandyG -- rapid numerical evaluation of generalised polylogarithms in Fortran

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:27.208802Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe01bb5b-c6b0-47d3-af31-9796e2b67826 · outbound

This paper cites The Tropical Geometry of Subtraction Schemes.

Angular phase-space integrals with four denominators through Mellin--Barnes The Tropical Geometry of Subtraction Schemes

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:27.215487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac0b1488-0b71-4ed2-b645-94e145c0a79f · outbound

This paper cites Analytical Result for Dimensionally Regularized Massless On-shell Double Box.

Angular phase-space integrals with four denominators through Mellin--Barnes Analytical Result for Dimensionally Regularized Massless On-shell Double Box

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:27.223067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7ea3bea-d3d6-419f-be66-a3c0f5df2b05 · outbound

This paper cites Non-planar massless two-loop Feynman diagrams with four on-shell legs.

Angular phase-space integrals with four denominators through Mellin--Barnes Non-planar massless two-loop Feynman diagrams with four on-shell legs

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:27.232113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4262222f-cedd-49d6-b280-741c58a13b1e · outbound

This paper cites Automatized analytic continuation of Mellin-Barnes integrals.

Angular phase-space integrals with four denominators through Mellin--Barnes Automatized analytic continuation of Mellin-Barnes integrals

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:27.240998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a0faf58-cb2d-42ed-8a1b-b8797da6eed6 · outbound

This paper cites PolyLogTools - Polylogs for the masses.

Angular phase-space integrals with four denominators through Mellin--Barnes PolyLogTools - Polylogs for the masses

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:27.248212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd4624f7-9a21-4226-9d75-36571bc3e83b · outbound

This paper cites Mathematical aspects of scattering amplitudes.

Angular phase-space integrals with four denominators through Mellin--Barnes Mathematical aspects of scattering amplitudes

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:27.257678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation affeac18-0850-49c0-baf4-5e734b3d90fb · outbound

This paper cites Chetyrkin and F.V.

Angular phase-space integrals with four denominators through Mellin--Barnes Chetyrkin and F.V

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:42:28.091420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 93891921-9755-4750-90af-4e1d889bb15a · outbound

This paper cites High-precision calculation of multi-loop Feynman integrals by difference equations.

Angular phase-space integrals with four denominators through Mellin--Barnes High-precision calculation of multi-loop Feynman integrals by difference equations

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:27.271575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.