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Paper Citation Record · LEDGER

Soft Factorisation and Exponentiation from Schwinger-Space Geometry

As of 11 August 2026, this Paper Citation Record lists 100 of 106 outbound references and 0 inbound Pith citation observations for arXiv:2506.15603.

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

pith.paper-citation-record.v1
2506.15603 v1

Coverage vector

measured 100 of 106 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:00:29.988503Z

measured 100 of 100 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

100 of 106 outbound references displayed

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  • verified fuzzy9
  • unresolved87
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External citation measurements

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Outbound references

Observation b745a0cc-5f32-4a30-a493-4e426205974f · outbound

This paper cites The Infrared Structure of Perturbative Gauge Theories.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Infrared Structure of Perturbative Gauge Theories

Reference 1

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Observation cd9c02d2-056f-4a31-905b-cd58de972a92 · outbound

This paper cites Bloch and A.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Bloch and A

Reference 2

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Observation 2ea1569e-c68e-4646-b467-e67109ef0d96 · outbound

This paper cites Doria, J.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Doria, J

Reference 3

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Observation d876330e-f057-4ed7-8e2e-232bc9e125d8 · outbound

This paper cites Di’Lieto, S.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Di’Lieto, S

Reference 4

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source=pdf_text observed=2026-08-07T00:00:17.399347Z digest=sha256:203dc1902175a09be019647c8550e0cb99d4b1421272a34d48cd48c3b8700407

Observation 87c496c8-9a6f-4517-8610-ff9117a75009 · outbound

This paper cites On the non-cancellation of infrared singularities in collisions of massive quarks.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry On the non-cancellation of infrared singularities in collisions of massive quarks

Reference 5

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source=pdf_text observed=2026-08-07T00:00:17.525744Z digest=sha256:e34b251b362e2a206d3d535c383cc9e31cb83aa636db34dc6054ea18999b8ba3

Observation 8927a55c-c17c-4977-8688-9ccd1d0be712 · outbound

This paper cites Kinoshita, Mass singularities of Feynman amplitudes , J.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Kinoshita, Mass singularities of Feynman amplitudes , J

Reference 6

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Observation efc04fa1-61e9-42c0-b97f-26be78692c9e · outbound

This paper cites Lee and M.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Lee and M

Reference 7

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source=pdf_text observed=2026-08-07T00:00:17.774908Z digest=sha256:e5a117f661dd2dc32557f18d6ad9aeb55405dcfd67015c566b232a649a96b853

Observation cc130d0f-59e2-4afb-a03b-c3f74b1a2691 · outbound

This paper cites Infrared Finiteness and Forward Scattering.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Infrared Finiteness and Forward Scattering

Reference 8

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Observation ea39ccaa-341e-467e-96ae-8b64b9e6fdac · outbound

This paper cites Sterman and S.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Sterman and S

Reference 9

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source=pdf_text observed=2026-08-07T00:00:18.013836Z digest=sha256:054ffe63922395e9af4e23a03ebf720f7fa0bc20e8454c7a6b917d4562b60ba1

Observation a99d48d0-23c9-43d1-9cba-34836a19118e · outbound

This paper cites Clavelli, Jet Invariant Mass in Quantum Chromodynamics , Phys.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Clavelli, Jet Invariant Mass in Quantum Chromodynamics , Phys

Reference 10

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source=pdf_text observed=2026-08-07T00:00:18.121301Z digest=sha256:3b596caabe8fe2565db3faf6c841e336b0e65108372e2665ecf64cea8fa5725b

Observation 864a5e57-0e22-4737-bbb0-1c14a67af855 · outbound

This paper cites Farhi, A QCD Test for Jets , Phys.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Farhi, A QCD Test for Jets , Phys

Reference 11

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source=pdf_text observed=2026-08-07T00:00:18.275013Z digest=sha256:16cb67695f7fd9f14878f8de8d8f221b167d2d95d96516be720e8b3467bf0e77

Observation 5b78eeff-fe66-4f55-ab87-c6b93babe1e7 · outbound

This paper cites Catani, G.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Catani, G

Reference 12

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Observation 1ce3d048-1112-4238-88ba-29763f63b5fe · outbound

This paper cites Catani, L.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Catani, L

Reference 13

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source=pdf_text observed=2026-08-07T00:00:18.505070Z digest=sha256:67d87714837c9986ec5d428627fd9564edba67b6c8ee0dd160f99795516fc4e1

Observation b8428b31-638c-45c9-bf85-35deb36b8c6d · outbound

This paper cites On Determining $\alpha_s(m_Z)$ from Dijets in $e^+e^-$ Thrust.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry On Determining $\alpha_s(m_Z)$ from Dijets in $e^+e^-$ Thrust

Reference 14

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source=pdf_text observed=2026-08-07T00:00:18.684753Z digest=sha256:efd0f348f208b96effbf89eeb7964fa5a744a28c87f33ee5e9e0eee21affee92

Observation 9e5b4645-0e4c-4d9f-b139-7fa82202db67 · outbound

This paper cites A Precise Determination of $\alpha_s$ from the Heavy Jet Mass Distribution.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry A Precise Determination of $\alpha_s$ from the Heavy Jet Mass Distribution

Reference 15

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source=pdf_text observed=2026-08-07T00:00:18.877519Z digest=sha256:19aff6a27104c8dfe6031e8f9593c0e46dae2e5486746c9101c39b7a61c41c4f

Observation d6daa05b-c30c-4d87-9abb-544b6c146c2c · outbound

This paper cites Jet Substructure at the Large Hadron Collider: A Review of Recent Advances in Theory and Machine Learning.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Jet Substructure at the Large Hadron Collider: A Review of Recent Advances in Theory and Machine Learning

Reference 16

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source=pdf_text observed=2026-08-07T00:00:19.081410Z digest=sha256:387092f3ff0c7d9387f81fda0524c7f358f3a66ff37eeae792e646c45cff2c7e

Observation 7d1cedaa-6072-4b4c-a127-801b9d19a569 · outbound

This paper cites Looking inside jets: an introduction to jet substructure and boosted-object phenomenology.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Looking inside jets: an introduction to jet substructure and boosted-object phenomenology

Reference 17

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Observation 1177b752-b89f-4acd-aaba-bbe62af29398 · outbound

This paper cites Snowmass White Paper: S-matrix Bootstrap.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Snowmass White Paper: S-matrix Bootstrap

Reference 18

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source=pdf_text observed=2026-08-07T00:00:19.390123Z digest=sha256:fa7d90b6e5793e58d6a638479dccad907a3a147f0e5a6729c7a09bab56ab5b87

Observation 5154968c-4bf8-4017-91e1-97b3a72e5179 · outbound

This paper cites Dollard, Asymptotic Convergence and the Coulomb Interaction , Journal of Mathematical Physics 5 (1964) 729.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Dollard, Asymptotic Convergence and the Coulomb Interaction , Journal of Mathematical Physics 5 (1964) 729

Reference 19

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source=pdf_text observed=2026-08-07T00:00:19.544918Z digest=sha256:609c6f978493ba19f3ce2cfc8ab0c462ae8c2500fd602b1eabdf8c7900ea5810

Observation 15c79ae7-2f52-4263-974b-1e32e88aa601 · outbound

This paper cites Dollard, Quantum-Mechanical Scattering Theory for Short-Range and Coulomb Interactions, The Rocky Mountain Journal of Mathematics (1971) 5.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Dollard, Quantum-Mechanical Scattering Theory for Short-Range and Coulomb Interactions, The Rocky Mountain Journal of Mathematics (1971) 5

Reference 20

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Observation ff824ecd-1fc8-40bb-bfc7-5eebf9c03c24 · outbound

This paper cites Chung, Infrared Divergence in Quantum Electrodynamics, Phys.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Chung, Infrared Divergence in Quantum Electrodynamics, Phys

Reference 21

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source=pdf_text observed=2026-08-07T00:00:19.808454Z digest=sha256:d0c5c9d4a3541ce245a53f17aa8ac205b0ba61893596de4b7ccfe91d9cdd6d79

Observation 1d5e8d0c-bfdc-4729-af18-d23ce20dc9f0 · outbound

This paper cites Kulish and L.D.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Kulish and L.D

Reference 22

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Observation dc07e235-e82e-45e6-81ca-92bcf0ec9d9a · outbound

This paper cites A Finite $S$-Matrix.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry A Finite $S$-Matrix

Reference 23

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Observation e294b2d1-c541-431d-aa22-d1cf9da55bd8 · outbound

This paper cites An $S$-Matrix for Massless Particles.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry An $S$-Matrix for Massless Particles

Reference 24

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Observation 64aa2e31-565a-41e0-a01f-e5294c365c6f · outbound

This paper cites Infrared singularities of scattering amplitudes in perturbative QCD.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Infrared singularities of scattering amplitudes in perturbative QCD

Reference 25

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Observation 2b1d845b-91b7-4143-8e80-e947384fc8f7 · outbound

This paper cites Infrared singularities in QCD amplitudes.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Infrared singularities in QCD amplitudes

Reference 26

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Observation 4da76455-a592-4141-9d36-8ee7a79815f2 · outbound

This paper cites On the Structure of Infrared Singularities of Gauge-Theory Amplitudes.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry On the Structure of Infrared Singularities of Gauge-Theory Amplitudes

Reference 27

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Observation 6ab71f46-09f0-4f66-a23c-022aeca8402a · outbound

This paper cites Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes

Reference 28

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Observation 706d7755-9043-4da5-bab8-1ae27b965e59 · outbound

This paper cites Collins, D.E.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Collins, D.E

Reference 29

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Observation f26f9bf3-e139-486e-9695-b08e1f359dcf · outbound

This paper cites Collins, D.E.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Collins, D.E

Reference 30

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Observation 71c49145-66e3-4e70-98dd-4736470df172 · outbound

This paper cites Collins, D.E.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Collins, D.E

Reference 31

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Observation 21a573d5-e40f-47c6-869d-aaeb04bf78f6 · outbound

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

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Sen, Asymptotic Behavior of the Wide Angle On-Shell Quark Scattering Amplitudes in Nonabelian Gauge Theories , Phys

Reference 32

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Observation 1b1208aa-de1e-496f-a405-30eca9c029a3 · outbound

This paper cites Collins, D.E.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Collins, D.E

Reference 33

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source=pdf_text observed=2026-08-07T00:00:21.560839Z digest=sha256:7276b6521aa6e83132a77818bcb357eddd871a2ebd458fbfffbbe5a5f4200776

Observation 524215db-f999-4a32-9b31-8192c839d3db · outbound

This paper cites Factorization of Hard Processes in QCD.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Factorization of Hard Processes in QCD

Reference 34

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Observation 46a7e427-9d61-4f53-9f71-763ab18040f8 · outbound

This paper cites Sudakov Factorization and Resummation.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Sudakov Factorization and Resummation

Reference 35

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source=pdf_text observed=2026-08-07T00:00:21.856119Z digest=sha256:5cdc8b16566433e908f4ae0c663b32b7e6f54b1469ab9a6237108166e2ef5e9e

Observation 69be0bcf-e52b-4c43-aebf-a1b7532b903d · outbound

This paper cites Evolution of Color Exchange in QCD Hard Scattering.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Evolution of Color Exchange in QCD Hard Scattering

Reference 36

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source=pdf_text observed=2026-08-07T00:00:21.974754Z digest=sha256:d42977e130e3c6c8b32bf4a5e4423bbb5f1c13b5293d93ede383bff5e5dd11f4

Observation 0153dd9d-91eb-4ae3-b369-86acfca0ec1a · outbound

This paper cites The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole

Reference 37

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source=pdf_text observed=2026-08-07T00:00:22.167100Z digest=sha256:5c248cdd4db2908b0640612e067a84827f9cb5c46c0688d0a85bf1747e5336b5

Observation 22f90022-1f64-4703-841f-a27a9a0771d3 · outbound

This paper cites An on-shell approach to factorization.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry An on-shell approach to factorization

Reference 38

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source=pdf_text observed=2026-08-07T00:00:22.314749Z digest=sha256:69e8772ab2837eba088760bb495b2204a7f80e49f8de133ab45c0fa24c4fed71

Observation f77ede96-e463-4a1f-967c-fa53141b5385 · outbound

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

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Hard-Soft-Collinear Factorization to All Orders

Reference 39

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Observation 736e313e-3ef0-4172-a7d8-b63c5d433984 · outbound

This paper cites Summing Sudakov logarithms in B -> X_s + gamma in effective field theory.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Summing Sudakov logarithms in B -> X_s + gamma in effective field theory

Reference 40

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source=pdf_text observed=2026-08-07T00:00:22.516293Z digest=sha256:ffc6e8c2437341dc35b4f9676ddbaed51a870e712ca81ea8803b320119cdac99

Observation 0273d1ed-43ce-451e-91bc-268220b98570 · outbound

This paper cites Soft-Collinear Factorization in Effective Field Theory.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Soft-Collinear Factorization in Effective Field Theory

Reference 41

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source=pdf_text observed=2026-08-07T00:00:22.651453Z digest=sha256:e3d2421a1f9c20fddf4d4fae664fa64972cf6d844e03cc6ae8275092bae24085

Observation 3f0c001f-f6f0-467a-83e4-79e9d8b19f47 · outbound

This paper cites Soft-collinear effective theory and heavy-to-light currents beyond leading power.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Soft-collinear effective theory and heavy-to-light currents beyond leading power

Reference 42

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source=pdf_text observed=2026-08-07T00:00:22.788422Z digest=sha256:f4f87b4b268c53361950d28df13869de6c36399d950b33b495219ed0b10e898c

Observation 239705fe-ec41-4798-8e3f-54a6b968c8f3 · outbound

This paper cites Stewart, Lectures on the Soft-Collinear Effective Theory , Lectures on the Soft-Collinear Effective Theory, MIT Open Courseware (2013).

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Stewart, Lectures on the Soft-Collinear Effective Theory , Lectures on the Soft-Collinear Effective Theory, MIT Open Courseware (2013)

Reference 43

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source=pdf_text observed=2026-08-07T00:00:22.902592Z digest=sha256:2b8f43d66bfc08e06baf8a6a1c3a32b2aceb8be94b6db4f6d1c94e243b64bbdc

Observation a4ec9dbf-c1e7-4e27-815d-3ebb03d70372 · outbound

This paper cites Introduction to Soft-Collinear Effective Theory.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Introduction to Soft-Collinear Effective Theory

Reference 44

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source=pdf_text observed=2026-08-07T00:00:23.000201Z digest=sha256:a799272af89fb8877a80375a0da67f8540b5c281a0456feca4bae79b7f9f336a

Observation 6764a254-ceef-4e4a-846a-af4ce5d45892 · outbound

This paper cites Polyakov, Gauge Fields as Rings of Glue , Nucl.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Polyakov, Gauge Fields as Rings of Glue , Nucl

Reference 45

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source=pdf_text observed=2026-08-07T00:00:23.144753Z digest=sha256:eeba3eaa7635e6a802bbb65a25c6cf98133e00322cdf701faf85fece8ce02c4f

Observation 01533582-49a6-4958-ba5f-e9696213be50 · outbound

This paper cites Arefeva, Quantum Contour Field Equations , Phys.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Arefeva, Quantum Contour Field Equations , Phys

Reference 46

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source=pdf_text observed=2026-08-07T00:00:23.190040Z digest=sha256:2309e8d1fe014a2ba41fce1ec6a1a1a53fbd3defccc3dfc9a9a56fd4f2849995

Observation 6a11ec01-fe73-43a8-a9dd-9f1c8001eb1b · outbound

This paper cites Dotsenko and S.N.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Dotsenko and S.N

Reference 47

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source=pdf_text observed=2026-08-07T00:00:23.270154Z digest=sha256:8f848bdb48ae25b8233410d39c32742de94006ca34524794bd1af906de7f1976

Observation 0737f669-8748-4769-8b1e-e19b1a9c418b · outbound

This paper cites Brandt, F.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Brandt, F

Reference 48

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source=pdf_text observed=2026-08-07T00:00:23.345544Z digest=sha256:f2571dca20049177e0c820ca24c780da45d9fd1606617b93984ff2211416d57e

Observation 7eccef39-276d-4543-9bdd-a551fbf52568 · outbound

This paper cites Korchemsky and A.V.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Korchemsky and A.V

Reference 49

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source=pdf_text observed=2026-08-07T00:00:23.469035Z digest=sha256:0881b6bf303ce4ad9e4d02d2fd6c4a45e2ff1f8410cb1144b00f266c8d50624d

Observation b7a58e7d-3ddd-4973-93e8-c2baac07aca1 · outbound

This paper cites Korchemsky and A.V.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Korchemsky and A.V

Reference 50

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source=pdf_text observed=2026-08-07T00:00:23.629327Z digest=sha256:61d5cdeb7ec00ab04116fae1375511d5cd5ea6421261da352e8490cea492c5fa

Observation 35f380e3-7bd1-4184-a017-8901abd3f4c2 · outbound

This paper cites Korchemsky and A.V.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Korchemsky and A.V

Reference 51

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source=pdf_text observed=2026-08-07T00:00:23.754052Z digest=sha256:bf124134dabdd86e84c4ca767221aaf9a15857e767b5974749ee02cb22ef305c

Observation c48ca561-2e1a-4f04-8eb1-770a80b8836e · outbound

This paper cites The Massive Soft Anomalous Dimension Matrix at Two Loops.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Massive Soft Anomalous Dimension Matrix at Two Loops

Reference 52

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verified exact
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source=pdf_text observed=2026-08-07T00:00:23.862985Z digest=sha256:e88edf9daf0b166b60c42542df4675d49d27d24c5086f98e6ceebc1a466f8da6

Observation 5a014e26-bfb2-41b1-b1b1-cf5400958c2c · outbound

This paper cites Two-loop divergences of massive scattering amplitudes in non-abelian gauge theories.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Two-loop divergences of massive scattering amplitudes in non-abelian gauge theories

Reference 53

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source=pdf_text observed=2026-08-07T00:00:23.989599Z digest=sha256:d61c6cfa6b31fb355579e54b9fd29dd7d5f5fa6b6376a95d295064d3cd394359

Observation 05617e56-acab-49be-a644-575055c31854 · outbound

This paper cites Two-loop divergences of scattering amplitudes with massive partons.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Two-loop divergences of scattering amplitudes with massive partons

Reference 54

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source=pdf_text observed=2026-08-07T00:00:24.100678Z digest=sha256:42a2c5fda34555904288c5ce609a4af8df699331b80d07e66959fc72645e6da9

Observation b6987d15-a989-4826-a66c-7ffa0c84a858 · outbound

This paper cites Three-loop corrections to the soft anomalous dimension in multi-leg scattering.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Three-loop corrections to the soft anomalous dimension in multi-leg scattering

Reference 55

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source=pdf_text observed=2026-08-07T00:00:24.307877Z digest=sha256:33efe908f897428745dadbbd380b83825af8fec0556e985604186cd582985138

Observation f5557e8d-f701-4080-8b92-0542645f3c5f · outbound

This paper cites Bootstrapping the QCD soft anomalous dimension.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Bootstrapping the QCD soft anomalous dimension

Reference 56

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source=pdf_text observed=2026-08-07T00:00:24.469970Z digest=sha256:436bd6646a45429e29cf0ef062f3e73fc8bf6a4a233450d8430041e6a6be00ea

Observation ec50a625-cdcb-4396-aa2c-e366fa398bc8 · outbound

This paper cites Infrared singularities of multi-leg QCD amplitudes with a massive parton at three loops.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Infrared singularities of multi-leg QCD amplitudes with a massive parton at three loops

Reference 57

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source=pdf_text observed=2026-08-07T00:00:24.577686Z digest=sha256:e662b264dcbed99b4fa53bead18ca5b6c07b31369db1be6d033067d01c92ae02

Observation 403e3736-e646-4b6a-b868-34a5903677e0 · outbound

This paper cites The Three-Loop Splitting Functions in QCD: The Non-Singlet Case.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 58

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source=pdf_text observed=2026-08-07T00:00:24.759411Z digest=sha256:0d46505b39bca754dc4ac8a80c93eedb2cf268502f86b8c774e9d38311a2ff2c

Observation 04017ee5-e87e-4f7d-9cc9-55898144710f · outbound

This paper cites The Three-Loop Splitting Functions in QCD: The Singlet Case.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 59

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source=pdf_text observed=2026-08-07T00:00:24.864769Z digest=sha256:e5eadef8cc2fff30e5e44de2641f6b8433f0e6388b09c47a6b53cb9b560a07c5

Observation 3b70e76a-37e2-47fc-bed4-f469d9776c9f · outbound

This paper cites Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles

Reference 60

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source=pdf_text observed=2026-08-07T00:00:25.004149Z digest=sha256:e4a2f5b7d2a69924c379828754f8096135c51a0b39b6b22abc46cf859ba73fd3

Observation b52458ba-d357-45f5-935a-9ebf83ff4061 · outbound

This paper cites The full four-loop cusp anomalous dimension in $\mathcal{N}=4$ super Yang-Mills and QCD.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The full four-loop cusp anomalous dimension in $\mathcal{N}=4$ super Yang-Mills and QCD

Reference 61

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source=pdf_text observed=2026-08-07T00:00:25.146965Z digest=sha256:2c0a5c2067e1eb17b05b18ed8c1ab4214f4eb3e961c51d5670cc7ef0ea3982d4

Observation 1829427b-f7f1-4769-92c6-76d3d1d2ac9f · outbound

This paper cites Cusp and collinear anomalous dimensions in four-loop QCD from form factors.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Cusp and collinear anomalous dimensions in four-loop QCD from form factors

Reference 62

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source=pdf_text observed=2026-08-07T00:00:25.259282Z digest=sha256:da134a5ecb34e52d505d73602f8766f42fb58e2cd18d1464c5e1370797768209

Observation 3dd12e90-8a3f-46c7-8c2b-9b67c9ef9af2 · outbound

This paper cites Two-loop corrections to Higgs boson production.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Two-loop corrections to Higgs boson production

Reference 63

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source=pdf_text observed=2026-08-07T00:00:25.361956Z digest=sha256:add5ae745b502af53e2986f7cf5cf864d4300bc5f5f6554e215c4886bd348b9c

Observation 8c9fd256-b959-4543-b06d-969a0d7dbbd2 · outbound

This paper cites The Quark Form Factor at Higher Orders.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Quark Form Factor at Higher Orders

Reference 64

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source=pdf_text observed=2026-08-07T00:00:25.590943Z digest=sha256:0f36c6a86c5773fb1b7b9f1d49ec9796b39c29ae8e572601fcbd314f94683587

Observation 11f770f9-5d9d-495e-a016-15533b36b2b7 · outbound

This paper cites Three-Loop Results for Quark and Gluon Form Factors.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Three-Loop Results for Quark and Gluon Form Factors

Reference 65

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source=pdf_text observed=2026-08-07T00:00:25.724754Z digest=sha256:ef3aae11420c998d889f11300eb7e2cf908b0d262ec90ec3baf0007044517985

Observation 3e633afb-8899-43c7-817f-b5586e43221e · outbound

This paper cites Four-loop collinear anomalous dimensions in QCD and $\mathcal{N} = 4$ super Yang-Mills.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Four-loop collinear anomalous dimensions in QCD and $\mathcal{N} = 4$ super Yang-Mills

Reference 66

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source=pdf_text observed=2026-08-07T00:00:25.847619Z digest=sha256:cb250b96bce15eaf3a89f02527cb838a0dece1b2ac869a48f9f474914968e422

Observation 8299c91b-db55-4998-aeef-c4929ee3092e · outbound

This paper cites Weinberg, Infrared photons and gravitons , Phys.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Weinberg, Infrared photons and gravitons , Phys

Reference 67

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source=pdf_text observed=2026-08-07T00:00:25.966183Z digest=sha256:de6e3007cf4558b979f75324066ac11dae679751c203bfcfb90575c5717f6b08

Observation 54484019-0d49-4593-a390-675f156a0b6c · outbound

This paper cites Yennie, S.C.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Yennie, S.C

Reference 68

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source=pdf_text observed=2026-08-07T00:00:26.084766Z digest=sha256:20bc7fe57d483091973ada29ef400b07ba199a2b2c8fa64629c53bb216af6cab

Observation 930c8e18-89a7-4164-a309-c7570185705f · outbound

This paper cites QED as a many-body theory of worldlines: I. General formalism and infrared structure.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry QED as a many-body theory of worldlines: I. General formalism and infrared structure

Reference 69

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source=pdf_text observed=2026-08-07T00:00:26.175801Z digest=sha256:72c70f8c92cbed9cdc8349223e497c8bb843cf133d064495db62c5a657ec7e6e

Observation d3387dfc-9715-428b-8247-ca1f9adad621 · outbound

This paper cites QED as a many-body theory of worldlines: II. All-order S-matrix formalism.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry QED as a many-body theory of worldlines: II. All-order S-matrix formalism

Reference 70

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verified exact
local_arxiv, observed 2026-08-07T00:00:31.613996Z

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source=pdf_text observed=2026-08-07T00:00:26.284738Z digest=sha256:d6adfc7b93ea3ffdd263f50fc74c26c1a0678b2c3a1b0c9af68d31a86595a2f9

Observation 5bf19337-67e1-4c26-839f-e610ce4748fd · outbound

This paper cites Feynman Integrals.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Feynman Integrals

Reference 71

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source=pdf_text observed=2026-08-07T00:00:26.387836Z digest=sha256:65f8cc528947b225a0572358392dc91e364da7e6d156861de55e36d343697a82

Observation af490a29-7cec-4c7d-bc86-ccb70b4e9dcc · outbound

This paper cites What is the $i\varepsilon$ for the S-matrix?.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry What is the $i\varepsilon$ for the S-matrix?

Reference 72

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source=pdf_text observed=2026-08-07T00:00:26.476053Z digest=sha256:d408b6f7114fa6a9fbf1bfe560a39e384903cc58c3b305c388a0bd6dd1f98e55

Observation 7a9f09ab-0618-40c5-ac7e-e52eec794abb · outbound

This paper cites Maclagan and B.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Maclagan and B

Reference 73

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source=pdf_text observed=2026-08-07T00:00:26.572172Z digest=sha256:f76f6ae18a7e33f7b6b1a7308de314f0a540f9cc70c133a3b630ca65a663205d

Observation 4a566952-72b4-4c30-bcc9-d9d8087bd48c · outbound

This paper cites The on-shell expansion: from Landau equations to the Newton polytope.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The on-shell expansion: from Landau equations to the Newton polytope

Reference 74

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source=pdf_text observed=2026-08-07T00:00:26.681155Z digest=sha256:38e585a3023ca76a140ebd55931ea9fdb76e1d5fec00fa304fb4e47ff7a17284

Observation 1b03ea60-30a8-4ec2-b78f-bb1cdb606154 · outbound

This paper cites Identifying regions in wide-angle scattering via graph-theoretical approaches.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Identifying regions in wide-angle scattering via graph-theoretical approaches

Reference 75

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source=pdf_text observed=2026-08-07T00:00:26.797349Z digest=sha256:7382b817f9180ad61c98fcad387a882739495786f218b0fd12e5f26aba3246cc

Observation 821cfb43-4a8e-4d74-bb61-75c270c2b43d · outbound

This paper cites Dissecting polytopes: Landau singularities and asymptotic expansions in $2\to 2$ scattering.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Dissecting polytopes: Landau singularities and asymptotic expansions in $2\to 2$ scattering

Reference 76

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source=pdf_text observed=2026-08-07T00:00:26.935306Z digest=sha256:9ba26cde834d8c038c87af17d8849e6d62f28ae036ed53f3a7acfa5987e9006e

Observation 922f3cce-c4dd-4459-8c44-6d0fb8fb1fdc · outbound

This paper cites Bjorken, Experimental tests of Quantum electrodynamics and spectral representations of Green ’s functions in perturbation theory, Ph.D.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Bjorken, Experimental tests of Quantum electrodynamics and spectral representations of Green ’s functions in perturbation theory, Ph.D

Reference 77

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raw_fallback, observed 2026-08-07T00:00:34.941626Z

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source=pdf_text observed=2026-08-07T00:00:27.105594Z digest=sha256:1e54af7f9f781c3206fe71fff7ab4cff16629b6076e1d8d0afb8bb5244988eb9

Observation e4c9f9c4-b62e-4cc2-b235-62c67690be75 · outbound

This paper cites Landau, On analytic properties of vertex parts in quantum field theory , Nucl.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Landau, On analytic properties of vertex parts in quantum field theory , Nucl

Reference 78

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raw_fallback, observed 2026-08-07T00:00:34.724847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:00:27.145889Z digest=sha256:45e194b669c8693a2409e56f091daa98a6a1a7021bffb3bf6a7ce2b1deba2a8c

Observation c1936bf7-33e9-434f-8af6-962e6b9c0d41 · outbound

This paper cites Nakanishi, Ordinary and Anomalous Thresholds in Perturbation Theory , Prog.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Nakanishi, Ordinary and Anomalous Thresholds in Perturbation Theory , Prog

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:00:34.485371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:00:27.247259Z digest=sha256:a4fa17ead02c95728d8fb103190095b829c77f99a6f945875202cd30b4274f8f

Observation b332ea79-6e66-4204-b4dd-5b3c98da82bd · outbound

This paper cites Expansion by regions: revealing potential and Glauber regions automatically.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Expansion by regions: revealing potential and Glauber regions automatically

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:27.367841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:27.367841Z digest=sha256:6e46807a3651157092e23d6df0cc20d8d1a0f58bcbd5786250af9e8ade8fabb4

Observation d2fd0e59-5d44-4e41-8981-eeca936e3df3 · outbound

This paper cites A Subtraction Scheme for Feynman Integrals.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry A Subtraction Scheme for Feynman Integrals

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:27.488130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:27.488130Z digest=sha256:51cdc8793a2c46aa276270d7ec35e21921e8530df88891bd249524e1644bf900

Observation a06ccd66-4a5b-4b23-803a-9b3e5781615f · outbound

This paper cites The Tropical Geometry of Subtraction Schemes.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Tropical Geometry of Subtraction Schemes

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:27.583029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:27.583029Z digest=sha256:c061c28a0c9a2317978e4ea3f5da6ea1e79c7e34ab564fc9afd55de0ca8dbb5e

Observation d61f5b96-a127-46f1-8a0e-fa120a72c07c · outbound

This paper cites Expansion by regions with pySecDec.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Expansion by regions with pySecDec

Reference 83

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:27.694749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:27.694749Z digest=sha256:774a6bf897c6fece7d9ac3eee924ce4fe1469ffd7b54e46b1bfb6815da4577fd

Observation cd97d686-60f1-4a31-9db0-40550e610335 · outbound

This paper cites Feynman Polytopes and the Tropical Geometry of UV and IR Divergences.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Feynman Polytopes and the Tropical Geometry of UV and IR Divergences

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:27.795989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:27.795989Z digest=sha256:af8ebbabb6933e6eebb51245ec0075099d3cd09d36535d42c00724a0947e5f4e

Observation 9959a977-327f-4a00-b37c-aa06adce31ff · outbound

This paper cites Kirchhoff, On the solution of the equations obtained from the investigation of the linear distribution of galvanic currents , IRE Transactions on Circuit Theory 5 (1958) 4.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Kirchhoff, On the solution of the equations obtained from the investigation of the linear distribution of galvanic currents , IRE Transactions on Circuit Theory 5 (1958) 4

Reference 85

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:00:34.284550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:00:27.925246Z digest=sha256:77fb0ea664ce735bb198dda5c25cebe79d1924c67c88b23fd9746b3e0d401c95

Observation 94340815-0e41-4eec-a125-6ddcf8b91f23 · outbound

This paper cites Frenkel and J.C.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Frenkel and J.C

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:00:34.076888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:00:28.068532Z digest=sha256:baf19219260c324cf1f15230ac09d4f4690d272e919a4f4e3891a772995ff1e5

Observation 04570e8f-51cc-4ebc-9145-6440fb0715e4 · outbound

This paper cites Webs in multiparton scattering using the replica trick.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Webs in multiparton scattering using the replica trick

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:28.214365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:28.214365Z digest=sha256:63454457d30877e13ac46cdd37f167063b4e536340aff325c05e5d6bc725766f

Observation 02157ae7-dcda-4546-9a5a-4b6602d5c938 · outbound

This paper cites On the renormalization of multiparton webs.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry On the renormalization of multiparton webs

Reference 88

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:28.334042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:28.334042Z digest=sha256:e13e228bd8e272c9c6b7ee39b8071f09029dabd09a8be21b6dc40e48c52411cb

Observation acb12c23-dcd8-4bf6-a0cc-ea24f5370f66 · outbound

This paper cites The Non-Abelian Exponentiation theorem for multiple Wilson lines.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Non-Abelian Exponentiation theorem for multiple Wilson lines

Reference 89

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:28.444124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:28.444124Z digest=sha256:ce13b84c151e798bdab551fb274399ddabb6bb7622ad756f703986d63e069bb8

Observation 4860da0d-20b6-4f49-9b09-b82c2139c94b · outbound

This paper cites Gawrilow and M.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Gawrilow and M

Reference 90

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:00:33.864748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:00:28.598978Z digest=sha256:bfb64dccc5948e6201b72be2511700d114548faa7db0d63a9eb860efd9374d84

Observation c9ea0e46-bd69-476f-b173-d27897689b4d · outbound

This paper cites Assarf, E.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Assarf, E

Reference 91

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:00:33.635205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:00:28.763893Z digest=sha256:e335bc3a995286af7fa0541f21eb48602e574ccf2a84b245634e3f3502f676ad

Observation 682967bf-832b-4016-82a9-8a5c467a9aa0 · outbound

This paper cites Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals

Reference 92

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:28.863161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:28.863161Z digest=sha256:19fdc54cce2ebf540b9353f3b06ba37eaf7e244dd502d14cf0f56fd96881730c

Observation 1848293f-b671-4c55-ac5b-5900f4bd3e23 · outbound

This paper cites Principal Landau Determinants.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Principal Landau Determinants

Reference 93

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:28.978705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:28.978705Z digest=sha256:6aea90a178404b1b4ca3c69acf0fec0b6aac9b514ba0c3c5d4ae22df86846cd4

Observation 9a069c93-33c4-45f3-8c66-ffb13fc0e4a2 · outbound

This paper cites Landau Singularities from Whitney Stratifications.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Landau Singularities from Whitney Stratifications

Reference 94

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:29.095890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:29.095890Z digest=sha256:bd5d6907e9a59a56f366844b5d0d92cfd4440ccc378afb82e11f36e2ad49473c

Observation 7e58c3a8-9c25-47bf-a1e0-e8b5997bc99b · outbound

This paper cites Recursive Landau Analysis.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Recursive Landau Analysis

Reference 95

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:29.266909Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:29.266909Z digest=sha256:a86705a996aef0806b369886a0632e5f6d15ab5210c977876be32f5fdb5e396e

Observation e6b8b08a-572d-416a-9d34-e405528109e8 · outbound

This paper cites Correia, M.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Correia, M

Reference 96

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:29.404227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:29.404227Z digest=sha256:fa486e68250366a8d9aadfa27aad4dbe4a1e2b28079634fceaafc82aa8899159

Observation 7e28341e-b81e-4d99-b8af-af591e7fe8ba · outbound

This paper cites Unveiling Regions in multi-scale Feynman Integrals using Singularities and Power Geometry.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Unveiling Regions in multi-scale Feynman Integrals using Singularities and Power Geometry

Reference 97

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:29.655528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:29.655528Z digest=sha256:78a0da3edd35a4297a01bad0b80eb1a5907fb0fda8f8b2191b0693190226af09

Observation b5b065fd-11ea-4007-8f36-36672ee36ed5 · outbound

This paper cites Arkani-Hamed, C.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Arkani-Hamed, C

Reference 98

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:29.747646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:29.747646Z digest=sha256:800e0189e586521c001c2b74b9fe929a8ecc22f839804c603e69142a0a26ecd0

Observation 3506c6af-4764-49c5-84b1-c37a8e574a2b · outbound

This paper cites Removing infrared divergences from two-loop integrals.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Removing infrared divergences from two-loop integrals

Reference 99

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:29.872110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:29.872110Z digest=sha256:f82972f31c64d04cddaa1655e1649a74836719f51055e6ce0cb36d50420eb6e6

Observation acdbbd2e-8144-469a-8735-fd20dc271db6 · outbound

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

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation

Reference 100

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:29.988503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:29.988503Z digest=sha256:b122ae71dd4ad1b4a75a52be75c8d6f895ab65e192c608a775a6f00d36a2c47c

Pith citing papers

No inbound Pith citation observations are available.