Pith. sign in

Paper Citation Record · LEDGER

General finite two-loop amplitude integrand for photoproduction in quark annihilation

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.

pith.paper-citation-record.v1
2509.07805 v1

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T21:50:31.074775Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T17:42:01.641712Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T17:21:07.703901Z

Reference resolution

54 of 54 outbound references displayed

  • verified exact23
  • verified fuzzy5
  • unresolved23
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0f0b5026-ccbc-4e4e-87c7-f6ba3c033981 · outbound

This paper cites Sen,Asymptotic Behavior of the Wide Angle On-Shell Quark Scattering Amplitudes in Nonabelian Gauge Theories,Phys.

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

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:27.971274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:27.971274Z digest=sha256:ce52a392d98469dd0136e2a6a8ea9d3daa6cc6410dbcfb93c6d618f61f34b038

Observation 35a7b053-9035-45fc-be31-78e60c38349a · outbound

This paper cites The Singular Behaviour of QCD Amplitudes at Two-loop Order.

General finite two-loop amplitude integrand for photoproduction in quark annihilation The Singular Behaviour of QCD Amplitudes at Two-loop Order

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:28.051278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:28.051278Z digest=sha256:158e26bee25ccf2255ffba9ee1b750a78531523c68847c0c6ff94167ce0a6844

Observation 3565c848-b636-4647-95bd-8ac0dccf6230 · outbound

This paper cites Multi-loop Amplitudes and Resummation.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Multi-loop Amplitudes and Resummation

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:28.111805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:28.111805Z digest=sha256:dad248ea796fc8e8f7ba25ae4125b98f883df712ed7a148487fb4ea039729a44

Observation e609727c-2bff-4304-97c5-5c2fc8dea0e7 · outbound

This paper cites Universal structure of subleading infrared poles in gauge theory amplitudes.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Universal structure of subleading infrared poles in gauge theory amplitudes

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:28.201753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:28.201753Z digest=sha256:79af9c1e33eb258d91e0609a286729cf335cfddc5f49d848b10054fd9233a24e

Observation 6ae20913-48a4-4210-b2f2-c61bf61881bf · outbound

This paper cites Collins,Foundations of perturbative QCD, vol.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Collins,Foundations of perturbative QCD, vol

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:28.280368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:28.280368Z digest=sha256:5879251aef8cb0852db08d2b414bf5169fb4622f8458bcf10ef85e374a0a7d8a

Observation ca2b4f11-9153-489c-a414-45dcc52ac197 · outbound

This paper cites Hard-Soft-Collinear Factorization to All Orders.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Hard-Soft-Collinear Factorization to All Orders

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:28.335867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:28.335867Z digest=sha256:2886d53c2601fb685d9668ca5424a19260ef6baac8ddefc543c9b0a55c32b7d1

Observation 0668d01a-eeec-4fc2-b196-cafecfd33021 · outbound

This paper cites Ultraviolet divergences and factorization for coordinate-space amplitudes.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Ultraviolet divergences and factorization for coordinate-space amplitudes

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.609299Z

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.

source=pdf_text observed=2026-08-04T21:50:28.404117Z digest=sha256:2fb037438e85cf703ccc79a2b51d35bcb9893e34edb5f37e4c32e37e33c3d72b

Observation 2b4be38c-bbfd-4d5c-9367-5d78900cb55b · outbound

This paper cites A Forest Formula to Subtract Infrared Singularities in Amplitudes for Wide-angle Scattering.

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

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:28.486850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:28.486850Z digest=sha256:07236ea11aac3e59158b302d096d7624b8a91f568f68c6f0682a8667813de68d

Observation 255300a7-434e-47fa-9f0e-6c53c8718e88 · outbound

This paper cites Locally finite two-loop QCD amplitudes from IR universality for electroweak production.

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

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:28.550892Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:28.550892Z digest=sha256:0cf027bebe1159c511bc6a2fe45fd5d45f84e3c422fdd9f4d41a14fb0d00050b

Observation 3cf0cbdb-e95d-440b-a959-a3d250b87cf8 · outbound

This paper cites Locally finite two-loop amplitudes for electroweak production through gluon fusion.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Locally finite two-loop amplitudes for electroweak production through gluon fusion

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:28.636249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:28.636249Z digest=sha256:c1df96a69f9c1eb6179ebfa0b9a33848c55f6ec5dcd898b887c4430cfae6a8b9

Observation 14cbb151-e0fe-4493-b2c8-84f5f2c1a95e · outbound

This paper cites Haindl,Local form factor subtraction for three-loop QCD corrections to electroweak production in quark-antiquark annihilation,JHEP06(2025) 257 [2502.00572].

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

Resolution
verified exact
arxiv_id, observed 2026-08-04T21:50:31.566686Z

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.

source=pdf_text observed=2026-08-04T21:50:28.699718Z digest=sha256:678b5b6c6b0821a4b26bc193a31e104219cba26c311fb215913fc14b4709eb14

Observation 81a33e60-319c-4ee4-8c32-b1984d016a2a · outbound

This paper cites Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation.

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

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:28.753237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:28.753237Z digest=sha256:34da5481584849a0c5d60b656dfa402e5fd656f89e630c00f142ec850231b6de

Observation 18fdeca2-2a4a-4a63-af1c-f58ce45d95be · outbound

This paper cites Sterman,Mass Divergences in Annihilation Processes.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Sterman,Mass Divergences in Annihilation Processes

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:50:31.698307Z

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.

source=pdf_text observed=2026-08-04T21:50:28.845157Z digest=sha256:1f5fa6d734cf42bab026b44b8407043fbb4f417807486943985c848d170093f5

Observation fa87e4e4-f3eb-4928-b2d0-01f35870be2e · outbound

This paper cites Sterman,Mass Divergences in Annihilation Processes.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Sterman,Mass Divergences in Annihilation Processes

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:50:31.688736Z

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.

source=pdf_text observed=2026-08-04T21:50:28.889526Z digest=sha256:d15031156671a369a7125554fa7b308cb8f6d3580f3f1e7b89d5f16688861ec0

Observation b9038997-049e-4ba3-a5c5-c02b30304dc1 · outbound

This paper cites Kermanschah and M.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Kermanschah and M

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:28.934767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:28.934767Z digest=sha256:3a016684f13d6379babc2ab1984a9fe0a3e886df3298203547cbc138a5f30897

Observation b037046f-bf2d-4ce9-9db5-208dd6032931 · outbound

This paper cites Numerical Loop-Tree Duality: contour deformation and subtraction.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Numerical Loop-Tree Duality: contour deformation and subtraction

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.532372Z

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.

source=pdf_text observed=2026-08-04T21:50:29.008063Z digest=sha256:3904fe006b360bcb36495b73c9bfe2f976eba79096ff7bde48a6382bae5e124d

Observation a3d1a410-93eb-4632-b178-0e9d48fc1c04 · outbound

This paper cites Bodwin,Factorization of the Drell-Yan Cross-Section in Perturbation Theory,Phys.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:50:31.679024Z

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.

source=pdf_text observed=2026-08-04T21:50:29.057947Z digest=sha256:497e056547bf5047214da00e9f2198ff92c0e892775e529ee7474da6edba4d5b

Observation 75f0886a-344d-435f-8230-fc13af4c415c · outbound

This paper cites Collins, D.E.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Collins, D.E

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:50:31.668756Z

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.

source=pdf_text observed=2026-08-04T21:50:29.105514Z digest=sha256:bf3f6d9bdd0bfa2ed1db611c32d8aaaedb391414e06d9e2e5e102ef969db1ae2

Observation 033f88a3-12f9-4bb7-961b-5cbd58d32179 · outbound

This paper cites Sterman,An Introduction to quantum field theory, Cambridge University Press (8, 1993).

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:50:31.658581Z

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.

source=pdf_text observed=2026-08-04T21:50:29.203140Z digest=sha256:8344bcbf28f17060a516f6b3b15c2c3fb0ec07bb665f0779c6c434d5184169f3

Observation 99b3ddb9-9ad3-405d-b2ae-064c948cbefd · outbound

This paper cites Partons, Factorization and Resummation, TASI95.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Partons, Factorization and Resummation, TASI95

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:29.274905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:29.274905Z digest=sha256:e471ab1f701b942b767464246484b5eb5050e348e63081586b1fdcb68c4e9b1f

Observation f6fb3836-c956-43fd-9bb4-a4f1f04670fa · outbound

This paper cites Local infrared safety in time-ordered perturbation theory.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Local infrared safety in time-ordered perturbation theory

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:29.350261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:29.350261Z digest=sha256:06285e5958c5be527be84bf2591dd0ba4c9b2b9206996dcbd3fd6fcb2c58cb05

Observation a9efaeea-ea8d-4728-b38c-851fb93b00b9 · outbound

This paper cites From loops to trees by-passing Feynman's theorem.

General finite two-loop amplitude integrand for photoproduction in quark annihilation From loops to trees by-passing Feynman's theorem

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:29.455595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:29.455595Z digest=sha256:f7ff16cda1603c883a5b330e3c3ba9626da9a8bb10437f2b53c6d85de5f70544

Observation 518d9256-bc94-47fd-a5e7-fc97e7f738cf · outbound

This paper cites Causality, unitarity thresholds, anomalous thresholds and infrared singularities from the loop-tree duality at higher orders.

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

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.490931Z

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.

source=pdf_text observed=2026-08-04T21:50:29.540991Z digest=sha256:0e69b0a5ec5f93263f733e4288ae3da041396dee828900c0a701858e86345275

Observation 8c29cc0e-9ae7-4135-b3f2-379c73b4a2f8 · outbound

This paper cites Open loop amplitudes and causality to all orders and powers from the loop-tree duality.

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

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.477623Z

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.

source=pdf_text observed=2026-08-04T21:50:29.673686Z digest=sha256:92b8125b23396272c2c82702d20fa0c4044c4e7164ca92cd0788f65524848ada

Observation b2b7719d-1977-41b4-8b04-654727c1a97e · outbound

This paper cites Mathematical properties of nested residues and their application to multi-loop scattering amplitudes.

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

Resolution
metadata mismatch
local_arxiv, observed 2026-08-04T21:50:31.463600Z

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.

source=pdf_text observed=2026-08-04T21:50:29.801040Z digest=sha256:498c9837916e4229b13d175f37c4db72e05057a2343978611758e5b08e6b876f

Observation de7294ec-0c02-4887-b974-7ccb4632f0ba · outbound

This paper cites Causality and loop-tree duality at higher loops.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Causality and loop-tree duality at higher loops

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.450274Z

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.

source=pdf_text observed=2026-08-04T21:50:29.900648Z digest=sha256:dcf9474bed9b99e0759d44489aef65c265a028f226334d477de9f7d0c00b8017

Observation b64919f3-49d1-4736-a731-dc4b38989cb9 · outbound

This paper cites Loop Tree Duality for multi-loop numerical integration.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Loop Tree Duality for multi-loop numerical integration

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.436117Z

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.

source=pdf_text observed=2026-08-04T21:50:29.994519Z digest=sha256:ecda595345b1fda9969fdc9e6aeaf9211bc55960c3d76269a44a42ead742a898

Observation 3c5ab204-b9d6-4ee3-a08e-079169ecc1d4 · outbound

This paper cites Causal representation of multi-loop Feynman integrands within the loop-tree duality.

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

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:30.075636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:30.075636Z digest=sha256:948eb27e89ec8378910b02fd25368350cb30be2642efb8b20e709ac9ce5a9bcb

Observation 149f6551-486f-41e8-80d2-2f37b9421364 · outbound

This paper cites Universal opening of four-loop scattering amplitudes to trees.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Universal opening of four-loop scattering amplitudes to trees

Reference 29

Resolution
metadata mismatch
local_arxiv, observed 2026-08-04T21:50:31.412084Z

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.

source=pdf_text observed=2026-08-04T21:50:30.209050Z digest=sha256:fab917c5b94127d790260088c32c5c50e3d9abd384f79d344c2262b5b3a80ea5

Observation 1bf9ec82-f505-484e-8841-ba24081f7250 · outbound

This paper cites Manifestly Causal Loop-Tree Duality.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Manifestly Causal Loop-Tree Duality

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:30.337929Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:30.337929Z digest=sha256:ae558b2398030ddbf9e5549c386a37e43477aa9404d16b23bdf79c633d6bcac8

Observation 98a7b377-2e34-477f-9807-1f4b7e102a40 · outbound

This paper cites Capatti, V.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Capatti, V

Reference 31

Resolution
verified exact
doi, observed 2026-08-04T21:50:31.106158Z

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.

source=pdf_text observed=2026-08-04T21:50:30.395343Z digest=sha256:4bf54e413d18b67af6bb9951a21feed1114ab1ebd575ef815584a104c6a9696c

Observation 4402dbe0-3650-4d6b-83a2-15c6bd3c451d · outbound

This paper cites Geometrical approach to causality in multi-loop amplitudes.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Geometrical approach to causality in multi-loop amplitudes

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.389656Z

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.

source=pdf_text observed=2026-08-04T21:50:30.451710Z digest=sha256:e5518a99ad7305785e72c37f3a2a812b92cb182c411e3b5cfa1246f458c85ae2

Observation a10ceab5-f59c-4be1-ae3b-70f596f8f478 · outbound

This paper cites Loop-tree duality from vertices and edges.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Loop-tree duality from vertices and edges

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.374685Z

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.

source=pdf_text observed=2026-08-04T21:50:30.529874Z digest=sha256:04d34c944506f0898c65d0e433ff84bb086d2cd7990de8cc0e8e9d845259f071

Observation ec00bc38-67b2-4909-8c48-20f814f94ae0 · outbound

This paper cites Lotty -- The loop-tree duality automation.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Lotty -- The loop-tree duality automation

Reference 34

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.362512Z

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.

source=pdf_text observed=2026-08-04T21:50:30.630506Z digest=sha256:efdd0222cc5e2d136e2b3e4d8fcbc3240db7eb33dbd5df4e18c836d955109abb

Observation fc2df81c-5960-420c-a6cd-ad9a87b62ac5 · outbound

This paper cites Physical Representations for Scattering Amplitudes and the Wavefunction of the Universe.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Physical Representations for Scattering Amplitudes and the Wavefunction of the Universe

Reference 35

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.349670Z

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.

source=pdf_text observed=2026-08-04T21:50:30.723295Z digest=sha256:aa06b4960845928c4a5ac9d21578e7e377612c842b5e0e23bace31ec99ed5a84

Observation ce40262f-32ce-4627-a197-0c88fdf8c2e4 · outbound

This paper cites Amplitudes within causal loop-tree duality.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Amplitudes within causal loop-tree duality

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.335591Z

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.

source=pdf_text observed=2026-08-04T21:50:30.805191Z digest=sha256:cc0948c7b1e5ff9dfbdefd80b3474423aebe1496ab3a7ec785508d5419a7ceee

Observation b573bc4e-bec1-46b4-8f9b-eca8058b2c9d · outbound

This paper cites From five-loop scattering amplitudes to open trees with the Loop-Tree Duality.

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

Resolution
metadata mismatch
local_arxiv, observed 2026-08-04T21:50:31.322608Z

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.

source=pdf_text observed=2026-08-04T21:50:30.851518Z digest=sha256:e96e71f25940e333db67eb0da2c2b35c0820a94dabe0b57580b8a3fec6f41847

Observation f2fc0fcb-177d-46c1-a22a-e3675f098aa9 · outbound

This paper cites Exposing the threshold structure of loop integrals.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Exposing the threshold structure of loop integrals

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.309525Z

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.

source=pdf_text observed=2026-08-04T21:50:30.947062Z digest=sha256:e0d7c18a4ff75a23c1b64d2be57fb11e9b60c0c6593db3a87911d2cf37a62e71

Observation 33efe54d-5b8e-41f0-a99e-bae72bd99ee1 · outbound

This paper cites Derivation of the Cross-Free Family representation for the box diagram.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Derivation of the Cross-Free Family representation for the box diagram

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.295498Z

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.

source=pdf_text observed=2026-08-04T21:50:30.997184Z digest=sha256:d2353912e02ca0e32eada079fe72123d05b3c4bbddb2496d9989e6a604208259

Observation e589c635-c84e-4532-8482-52ef8f6b5191 · outbound

This paper cites Numerical integration of the double- and triple-box integrals using threshold subtraction.

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

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.282011Z

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.

source=pdf_text observed=2026-08-04T21:50:31.027610Z digest=sha256:240a64b94537a426ed8ccbb8a515dd97c79e2f454e59087ac7e93bccec214d0c

Observation f9bc7805-0004-4039-bf5f-fddd4075332c · outbound

This paper cites Techniques for QCD calculations by numerical integration.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Techniques for QCD calculations by numerical integration

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.269218Z

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.

source=pdf_text observed=2026-08-04T21:50:31.031123Z digest=sha256:e9e98dd742adc2d2cece6e1634f121a316f73535540648d9bf6aa61c3fd253b8

Observation 40f7324f-7645-44fc-86e2-416a7942b689 · outbound

This paper cites Numerical integration of one-loop Feynman diagrams for N-photon amplitudes.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Numerical integration of one-loop Feynman diagrams for N-photon amplitudes

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.256274Z

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.

source=pdf_text observed=2026-08-04T21:50:31.034576Z digest=sha256:0efe27d7cf16ed2d675d1bf366f1dc02f11d964c171c7941a15498e73c8081c1

Observation aa0d47a6-924d-4eba-b090-91b17ef62a3a · outbound

This paper cites Direct numerical integration of one-loop Feynman diagrams for N-photon amplitudes.

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

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.242869Z

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.

source=pdf_text observed=2026-08-04T21:50:31.037798Z digest=sha256:31590eb2724d01f97b22d7c90651ca40ce4911fea0b4ef1bce539a22f8f79007

Observation 6f8e7bc6-f6cf-4492-a513-4afbef45f91e · outbound

This paper cites Numerical NLO QCD calculations.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Numerical NLO QCD calculations

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:31.040955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:31.040955Z digest=sha256:5c554a92b2e41a728cddd76bded22627e855fe2306b2226a13db6cee9142fa3d

Observation f12d70e5-8d45-4643-8649-338d90d6f2eb · outbound

This paper cites A simple formula for the infrared singular part of the integrand of one-loop QCD amplitudes.

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

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.220359Z

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.

source=pdf_text observed=2026-08-04T21:50:31.044493Z digest=sha256:3e2411fcad9d1f3e9b9288b11fc8a1bcf75d30090ce21cd2a8d968762e1e04db

Observation ef34261a-7832-4fb2-b449-8903e3a77f79 · outbound

This paper cites Efficiency improvements for the numerical computation of NLO corrections.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Efficiency improvements for the numerical computation of NLO corrections

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.206218Z

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.

source=pdf_text observed=2026-08-04T21:50:31.047987Z digest=sha256:d42579d67ec0468be771a887b98ff17aaf2c06afeaf7d95e95012027b06796b2

Observation 45c82735-4700-4f1e-8f3c-f2652c1b5557 · outbound

This paper cites NLO results for five, six and seven jets in electron-positron annihilation.

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

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:31.051281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:31.051281Z digest=sha256:e4c0db21e9af772e8b7f101fe1c0e86aa85e7a31a86d5d0ddbabf7fe27869f37

Observation ebaf7ed2-8575-4851-a0d6-6ec01ee1d64a · outbound

This paper cites Direct numerical integration for multi-loop integrals.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Direct numerical integration for multi-loop integrals

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.183062Z

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.

source=pdf_text observed=2026-08-04T21:50:31.054418Z digest=sha256:6e077d8cc318f127bbd69f1850bd6ef933d73bb828890b77b4b15d21fa139bc9

Observation 9d85ed18-512b-45bc-8b5a-3b5ec5cf3166 · outbound

This paper cites To $d$, or not to $d$: Recent developments and comparisons of regularization schemes.

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

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:31.058020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:31.058020Z digest=sha256:fce7405a4e57eb6c4f1b306ccc89e9be1ff3c9613a235f3bacf159769457c46d

Observation cfa8bc81-b350-4dc0-beda-6c0f78990126 · outbound

This paper cites Numerical integration of subtraction terms.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Numerical integration of subtraction terms

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.159465Z

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.

source=pdf_text observed=2026-08-04T21:50:31.061648Z digest=sha256:f119dcc9592f0325539dce032247fc4650566f0898062f15caf0ce58a1cbb453

Observation 179ef349-e4c6-4d64-863d-92b439c41fe1 · outbound

This paper cites Local Unitarity: a representation of differential cross-sections that is locally free of infrared singularities at any order.

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

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:31.064969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:31.064969Z digest=sha256:dc0a10ec2aa4b26c7446265b4e0d9b534101dee206334b26fc6d7c7719c89743

Observation 4157f11c-cca2-4f43-ba00-7d509608391e · outbound

This paper cites May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations.

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

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:31.068221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:31.068221Z digest=sha256:8fb31c566a6b6cae50647942d0032628feb804904536beffd90f1a6547584b0c

Observation 36e78ba2-3cf5-4a72-91c5-b1cd68400934 · outbound

This paper cites Numerical integration of loop integrals through local cancellation of threshold singularities.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Numerical integration of loop integrals through local cancellation of threshold singularities

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:31.071664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:31.071664Z digest=sha256:de49c9f80ae6a6421fb95f0d173e4ff4b204ceb2050c040ef0a038cec68f1086

Observation a9b488dc-64b7-4a34-91f8-b7c298065508 · outbound

This paper cites Towards multiloop local renormalization within Causal Loop-Tree Duality.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Towards multiloop local renormalization within Causal Loop-Tree Duality

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:31.074775Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:31.074775Z digest=sha256:215a38f38f1fc3022e028f85ba04030853cec75e0189828d24174d19c1d8f2ce

Pith citing papers

Observation 9d8d42ac-f1dc-4001-9935-89e974b0faa2 · inbound

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

Pseudo-Evanescent Feynman Integrals from Local Subtraction General finite two-loop amplitude integrand for photoproduction in quark annihilation

Reference 31

Resolution
verified exact
arxiv_id, observed 2026-05-11T17:21:07.706809Z

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.

source=pdf_text observed=2026-05-08T17:42:01.641712Z digest=sha256:e4962ba090d0d77986b00f0d3b322afa0f3704700ff40546beb3277e6e8b820c