Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T21:50:31.074775Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 1 inbound Pith citation observation for arXiv:2509.07805.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T21:50:31.074775Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-08T17:42:01.641712Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T17:21:07.703901Z
54 of 54 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 0f0b5026-ccbc-4e4e-87c7-f6ba3c033981 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Sen,Asymptotic Behavior of the Wide Angle On-Shell Quark Scattering Amplitudes in Nonabelian Gauge Theories,Phys
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 35a7b053-9035-45fc-be31-78e60c38349a · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation The Singular Behaviour of QCD Amplitudes at Two-loop Order
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3565c848-b636-4647-95bd-8ac0dccf6230 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Multi-loop Amplitudes and Resummation
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e609727c-2bff-4304-97c5-5c2fc8dea0e7 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Universal structure of subleading infrared poles in gauge theory amplitudes
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ae20913-48a4-4210-b2f2-c61bf61881bf · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Collins,Foundations of perturbative QCD, vol
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca2b4f11-9153-489c-a414-45dcc52ac197 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Hard-Soft-Collinear Factorization to All Orders
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0668d01a-eeec-4fc2-b196-cafecfd33021 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Ultraviolet divergences and factorization for coordinate-space amplitudes
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2b4be38c-bbfd-4d5c-9367-5d78900cb55b · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation A Forest Formula to Subtract Infrared Singularities in Amplitudes for Wide-angle Scattering
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 255300a7-434e-47fa-9f0e-6c53c8718e88 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Locally finite two-loop QCD amplitudes from IR universality for electroweak production
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3cf0cbdb-e95d-440b-a959-a3d250b87cf8 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Locally finite two-loop amplitudes for electroweak production through gluon fusion
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 14cbb151-e0fe-4493-b2c8-84f5f2c1a95e · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Haindl,Local form factor subtraction for three-loop QCD corrections to electroweak production in quark-antiquark annihilation,JHEP06(2025) 257 [2502.00572]
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 81a33e60-319c-4ee4-8c32-b1984d016a2a · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 18fdeca2-2a4a-4a63-af1c-f58ce45d95be · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Sterman,Mass Divergences in Annihilation Processes
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fa87e4e4-f3eb-4928-b2d0-01f35870be2e · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Sterman,Mass Divergences in Annihilation Processes
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b9038997-049e-4ba3-a5c5-c02b30304dc1 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Kermanschah and M
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b037046f-bf2d-4ce9-9db5-208dd6032931 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Numerical Loop-Tree Duality: contour deformation and subtraction
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a3d1a410-93eb-4632-b178-0e9d48fc1c04 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Bodwin,Factorization of the Drell-Yan Cross-Section in Perturbation Theory,Phys
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 75f0886a-344d-435f-8230-fc13af4c415c · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Collins, D.E
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 033f88a3-12f9-4bb7-961b-5cbd58d32179 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Sterman,An Introduction to quantum field theory, Cambridge University Press (8, 1993)
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 99b3ddb9-9ad3-405d-b2ae-064c948cbefd · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Partons, Factorization and Resummation, TASI95
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f6fb3836-c956-43fd-9bb4-a4f1f04670fa · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Local infrared safety in time-ordered perturbation theory
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a9efaeea-ea8d-4728-b38c-851fb93b00b9 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation From loops to trees by-passing Feynman's theorem
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 518d9256-bc94-47fd-a5e7-fc97e7f738cf · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Causality, unitarity thresholds, anomalous thresholds and infrared singularities from the loop-tree duality at higher orders
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8c29cc0e-9ae7-4135-b3f2-379c73b4a2f8 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Open loop amplitudes and causality to all orders and powers from the loop-tree duality
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b2b7719d-1977-41b4-8b04-654727c1a97e · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Mathematical properties of nested residues and their application to multi-loop scattering amplitudes
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation de7294ec-0c02-4887-b974-7ccb4632f0ba · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Causality and loop-tree duality at higher loops
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b64919f3-49d1-4736-a731-dc4b38989cb9 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Loop Tree Duality for multi-loop numerical integration
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3c5ab204-b9d6-4ee3-a08e-079169ecc1d4 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Causal representation of multi-loop Feynman integrands within the loop-tree duality
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 149f6551-486f-41e8-80d2-2f37b9421364 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Universal opening of four-loop scattering amplitudes to trees
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1bf9ec82-f505-484e-8841-ba24081f7250 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Manifestly Causal Loop-Tree Duality
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98a7b377-2e34-477f-9807-1f4b7e102a40 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Capatti, V
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4402dbe0-3650-4d6b-83a2-15c6bd3c451d · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Geometrical approach to causality in multi-loop amplitudes
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a10ceab5-f59c-4be1-ae3b-70f596f8f478 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Loop-tree duality from vertices and edges
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ec00bc38-67b2-4909-8c48-20f814f94ae0 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Lotty -- The loop-tree duality automation
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fc2df81c-5960-420c-a6cd-ad9a87b62ac5 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Physical Representations for Scattering Amplitudes and the Wavefunction of the Universe
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ce40262f-32ce-4627-a197-0c88fdf8c2e4 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Amplitudes within causal loop-tree duality
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b573bc4e-bec1-46b4-8f9b-eca8058b2c9d · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation From five-loop scattering amplitudes to open trees with the Loop-Tree Duality
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f2fc0fcb-177d-46c1-a22a-e3675f098aa9 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Exposing the threshold structure of loop integrals
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 33efe54d-5b8e-41f0-a99e-bae72bd99ee1 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Derivation of the Cross-Free Family representation for the box diagram
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e589c635-c84e-4532-8482-52ef8f6b5191 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Numerical integration of the double- and triple-box integrals using threshold subtraction
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f9bc7805-0004-4039-bf5f-fddd4075332c · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Techniques for QCD calculations by numerical integration
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 40f7324f-7645-44fc-86e2-416a7942b689 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Numerical integration of one-loop Feynman diagrams for N-photon amplitudes
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation aa0d47a6-924d-4eba-b090-91b17ef62a3a · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Direct numerical integration of one-loop Feynman diagrams for N-photon amplitudes
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6f8e7bc6-f6cf-4492-a513-4afbef45f91e · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Numerical NLO QCD calculations
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f12d70e5-8d45-4643-8649-338d90d6f2eb · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation A simple formula for the infrared singular part of the integrand of one-loop QCD amplitudes
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ef34261a-7832-4fb2-b449-8903e3a77f79 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Efficiency improvements for the numerical computation of NLO corrections
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 45c82735-4700-4f1e-8f3c-f2652c1b5557 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation NLO results for five, six and seven jets in electron-positron annihilation
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ebaf7ed2-8575-4851-a0d6-6ec01ee1d64a · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Direct numerical integration for multi-loop integrals
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9d85ed18-512b-45bc-8b5a-3b5ec5cf3166 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation To $d$, or not to $d$: Recent developments and comparisons of regularization schemes
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cfa8bc81-b350-4dc0-beda-6c0f78990126 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Numerical integration of subtraction terms
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 179ef349-e4c6-4d64-863d-92b439c41fe1 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Local Unitarity: a representation of differential cross-sections that is locally free of infrared singularities at any order
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4157f11c-cca2-4f43-ba00-7d509608391e · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36e78ba2-3cf5-4a72-91c5-b1cd68400934 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Numerical integration of loop integrals through local cancellation of threshold singularities
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a9b488dc-64b7-4a34-91f8-b7c298065508 · outbound
General finite two-loop amplitude integrand for photoproduction in quark annihilation Towards multiloop local renormalization within Causal Loop-Tree Duality
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9d8d42ac-f1dc-4001-9935-89e974b0faa2 · inbound
Pseudo-Evanescent Feynman Integrals from Local Subtraction General finite two-loop amplitude integrand for photoproduction in quark annihilation
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.