A quality-coupling relation in chiral $U(1)_{B-L}$ axion model | Paper Citation Record

Observation cbe8c317-1807-4b92-b085-9e01a0a78671 · outbound

This paper cites According to Eq.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model According to Eq

Reference 1

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Observation 6d0e1935-cc83-4039-9423-2c99cd35af25 · outbound

This paper cites The field range and decay constantF a of the axion are a≡F aθa∈ 0, 2πv1v2p m2v2 1 +n 2v2 2 # ,(7) Fa = v1v2p m2v2 1 +n 2v2 2.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model The field range and decay constantF a of the axion are a≡F aθa∈ 0, 2πv1v2p m2v2 1 +n 2v2 2 # ,(7) Fa = v1v2p m2v2 1 +n 2v2 2

Reference 2

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Observation 8e723ac0-acd4-4b6a-aae1-f6a82cca1f0a · outbound

This paper cites An analogous analysis yields the result obtained by interchangingn↔min Eq.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model An analogous analysis yields the result obtained by interchangingn↔min Eq

Reference 3

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Observation 378dd99b-1928-45c8-bab3-0bdcc92d81cc · outbound

This paper cites Using the cubic equation (16), one obtains CB−L≥max m2 + 3 4 , n2 + 3 4 .(19) The analysis above does not fully account for the integer nature of the solutionsa j andb j.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Using the cubic equation (16), one obtains CB−L≥max m2 + 3 4 , n2 + 3 4 .(19) The analysis above does not fully account for the integer nature of the solutionsa j andb j

Reference 4

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A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Unresolved cited work

Reference 5

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Observation 3b059691-7e39-4e86-a5be-9bc7f1bc511e · outbound

This paper cites Measurement of the permanent electric dipole moment of the neutron.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Measurement of the permanent electric dipole moment of the neutron

Reference 6

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A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Unresolved cited work

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Observation f345a481-2e2d-4915-84c6-e6aa92cf66dc · outbound

This paper cites Weinberg, A New Light Boson?, Phys.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Weinberg, A New Light Boson?, Phys

Reference 9

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Observation f197f6be-73aa-481d-9dea-709fe51f1a26 · outbound

This paper cites Wilczek, Problem of StrongPandTInvariance in the Presence of Instantons, Phys.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Wilczek, Problem of StrongPandTInvariance in the Presence of Instantons, Phys

Reference 10

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A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Unresolved cited work

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Reference 12

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A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Unresolved cited work

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Observation 685b03c4-12eb-4546-8f08-3bb69a2e557e · outbound

This paper cites Symmetries and Strings in Field Theory and Gravity.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Symmetries and Strings in Field Theory and Gravity

Reference 15

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A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Unresolved cited work

Reference 16

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Observation 51f49e29-f8da-4f70-b7a0-60e41e3ce2fc · outbound

This paper cites Composite Accidental Axions.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Composite Accidental Axions

Reference 17

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Observation 2eed4a3b-240e-428f-bc38-69327bc8eb3c · outbound

This paper cites Window for preferred axion models.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Window for preferred axion models

Reference 18

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Observation 1af0f12a-597f-4cc4-b77f-7b49518d882c · outbound

This paper cites Protecting the Axion with Local Baryon Number.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Protecting the Axion with Local Baryon Number

Reference 19

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Observation 7e958f2d-f166-4827-b65d-fe646ec28cfc · outbound

This paper cites A "Gauged" $U(1)$ Peccei-Quinn Symmetry.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model A "Gauged" $U(1)$ Peccei-Quinn Symmetry

Reference 20

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Observation e5f58831-c33a-4928-9007-2e2770869f12 · outbound

This paper cites Axions in a highly protected gauge symmetry model.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Axions in a highly protected gauge symmetry model

Reference 21

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Observation 98ee034d-eec1-4570-b953-71822490dd05 · outbound

This paper cites A High Quality Composite Axion.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model A High Quality Composite Axion

Reference 22

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Observation 213ea6ad-8cf8-4d23-9289-661159e179c1 · outbound

This paper cites Peccei-Quinn symmetry from a hidden gauge group structure.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Peccei-Quinn symmetry from a hidden gauge group structure

Reference 23

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Observation 1dc06481-653f-40de-a745-f457d4f9704b · outbound

This paper cites Gauged Peccei-Quinn Symmetry - A Case of Simultaneous Breaking of SUSY and PQ Symmetry.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Gauged Peccei-Quinn Symmetry - A Case of Simultaneous Breaking of SUSY and PQ Symmetry

Reference 24

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Observation 1ea4b1af-02e4-4037-9ef0-57b0cecf8644 · outbound

This paper cites $B-L$ as a Gauged Peccei-Quinn Symmetry.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model $B-L$ as a Gauged Peccei-Quinn Symmetry

Reference 25

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Observation e4f6601f-e860-49ad-8c86-fd76ac376feb · outbound

This paper cites Automatic Peccei-Quinn symmetry.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Automatic Peccei-Quinn symmetry

Reference 26

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Observation 021a356d-5276-4d23-ae64-fa3e89a59ca8 · outbound

This paper cites Axion quality from the (anti)symmetric of SU(N).

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Axion quality from the (anti)symmetric of SU(N)

Reference 27

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Observation 22c1869c-3922-4748-bcd5-569188b6dd82 · outbound

This paper cites QCD Axion From a Spontaneously Broken B-L Gauge Symmetry.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model QCD Axion From a Spontaneously Broken B-L Gauge Symmetry

Reference 28

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Observation abd29b0a-b012-4254-8d6e-473b4c6a2c5e · outbound

This paper cites Exact accidental U(1) symmetries for the axion.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Exact accidental U(1) symmetries for the axion

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:15:06.648587Z

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Observation 3464b4c7-f553-4909-b8ed-116cbca3ff2a · outbound

This paper cites Chiral models of composite axions and accidental Peccei-Quinn symmetry.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Chiral models of composite axions and accidental Peccei-Quinn symmetry

Reference 30

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Observation 18452a49-3cb6-451f-93ec-2e56e6eb7f6e · outbound

This paper cites High Quality Axion in Supersymmetric Models.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model High Quality Axion in Supersymmetric Models

Reference 31

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Observation 7f58a2d3-ae47-4fd2-999d-a5db74b90d45 · outbound

This paper cites High-quality axions in a class of chiral $U(1)$ gauge theories.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model High-quality axions in a class of chiral $U(1)$ gauge theories

Reference 32

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Observation 2305926b-9087-48a6-bb5b-8e5aee3c682b · outbound

This paper cites Sheng and T.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Sheng and T

Reference 33

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Observation 00b5426f-1a91-4c62-8d9a-ace35cc90918 · outbound

This paper cites Higher-Dimensional QCD without the Strong CP Problem.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Higher-Dimensional QCD without the Strong CP Problem

Reference 34

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Observation 03a2c57a-a846-45fc-851c-f48926ce2c58 · outbound

This paper cites Choi, A QCD axion from higher dimensional gauge field, Phys.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Choi, A QCD axion from higher dimensional gauge field, Phys

Reference 35

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Observation 08b2663e-7e9e-4a8b-9fc8-f52597301c19 · outbound

This paper cites Super- and CP-symmetric QCD in Higher Dimensions.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Super- and CP-symmetric QCD in Higher Dimensions

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:15:06.478281Z

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Observation cec5796d-29d9-409b-a663-42e25ded2800 · outbound

This paper cites Flacke, B.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Flacke, B

Reference 37

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Observation 74ac4258-f5bf-43d8-be4c-3cf7d6c7ff26 · outbound

This paper cites A Holographic Perspective on the Axion Quality Problem.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model A Holographic Perspective on the Axion Quality Problem

Reference 38

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Observation 867aac22-ffa3-4d7b-a6eb-3ee1fbc6af27 · outbound

This paper cites Flavoured Warped Axion.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Flavoured Warped Axion

Reference 39

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Observation fd901080-7af6-4d68-8f08-6a6daf4f55c6 · outbound

This paper cites Axion Quality from Superconformal Dynamics.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Axion Quality from Superconformal Dynamics

Reference 40

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Observation a8e87b63-b31a-4c3d-b8a0-46a628e72e46 · outbound

This paper cites Dynamics of Superconformal Axion: Quality and Scalegenesis.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Dynamics of Superconformal Axion: Quality and Scalegenesis

Reference 41

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Observation b50db789-65f9-4aac-89d8-632747f456fd · outbound

This paper cites High Quality QCD Axion via Electric-Magnetic Duality.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model High Quality QCD Axion via Electric-Magnetic Duality

Reference 42

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Observation 86be69c4-d0fb-44d3-a71c-9534da3a5366 · outbound

This paper cites High-Quality Axions from Higher-Form Symmetries in Extra Dimensions.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model High-Quality Axions from Higher-Form Symmetries in Extra Dimensions

Reference 43

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Observation 26156998-6514-4a9a-ae8e-85c7f9dd99c8 · outbound

This paper cites Extra-Dimensional Axion Expectations.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Extra-Dimensional Axion Expectations

Reference 44

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Observation 89d8c002-e963-45db-bc0f-36d167733091 · outbound

This paper cites Choi and T.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Choi and T

Reference 45

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Observation 5c5d48af-f962-42e2-b228-ba83e4da100e · outbound

This paper cites Axion Quality in Warped Extra-Dimension.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Axion Quality in Warped Extra-Dimension

Reference 46

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Observation e7171f18-c2aa-4484-a1fa-73f53f7f9737 · outbound

This paper cites The Holographic QCD Axion in Five Dimensions.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model The Holographic QCD Axion in Five Dimensions

Reference 47

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Observation 3ed40533-a233-4125-b991-a23dbd37a474 · outbound

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A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Unresolved cited work

Reference 48

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Observation 1827626e-9b89-4470-88d0-7cf834d77170 · outbound

This paper cites The High Quality QCD Axion and the LHC.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model The High Quality QCD Axion and the LHC

Reference 49

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Observation bf0db4d2-3a55-4849-81c1-94319b94e3a1 · outbound

This paper cites Challenges for a QCD Axion at the 10 MeV Scale.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Challenges for a QCD Axion at the 10 MeV Scale

Reference 50

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Observation bbd30ad5-ed95-46aa-a227-904208fb1a72 · outbound

This paper cites How Viable Is a QCD Axion near 10 MeV?.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model How Viable Is a QCD Axion near 10 MeV?

Reference 51

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Observation 439b585e-3424-49c4-a26f-c197425457b0 · outbound

This paper cites Murayama, GeV-scale QCD Axion, (2026), arXiv:2601.02465 [hep-ph].

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Murayama, GeV-scale QCD Axion, (2026), arXiv:2601.02465 [hep-ph]

Reference 52

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Observation 68291ee6-13ee-4dbf-a0f2-2a6d25cda433 · outbound

This paper cites Strong-$CP$ with and without gravity.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Strong-$CP$ with and without gravity

Reference 53

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Observation f25584de-5b04-4fd4-8a94-7c0c0a8ee39f · outbound

This paper cites UV and IR Effects in Axion Quality Control.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model UV and IR Effects in Axion Quality Control

Reference 54

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Observation de0e0e6a-d9b7-4f3f-8e26-9b4289262ab9 · outbound

This paper cites Gravitational instantons and the quality problem of the QCD axion: Facts, speculations, and statements in between.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Gravitational instantons and the quality problem of the QCD axion: Facts, speculations, and statements in between

Reference 55

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:15:06.133382Z

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Observation 0589dc02-34d3-4d97-9ab5-aa450042cac2 · outbound

This paper cites Cheek, A.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Cheek, A

Reference 56

Resolution: verified exact; raw_fallback, observed 2026-08-15T15:15:06.119422Z

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Observation c3566c7b-1652-4e78-8486-c388151d7f49 · outbound

This paper cites Global vs local cosmic strings from pseudo-anomalous U(1).

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Global vs local cosmic strings from pseudo-anomalous U(1)

Reference 57

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:15:06.042939Z

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Observation c7a9208c-6303-4d2d-ac65-74672fc5109f · outbound

This paper cites New Type of String Solutions with Long Range Forces.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model New Type of String Solutions with Long Range Forces

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-15T15:15:05.801474Z

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Observation b5af13c9-3755-4fba-bed3-b9e28efa0b7d · outbound

This paper cites Gauged Global Strings.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Gauged Global Strings

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-15T15:15:05.804938Z

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Observation 27ad751e-090e-4eb8-b39d-1cd2e7482fa5 · outbound

This paper cites Tying knots in particle physics.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Tying knots in particle physics

Reference 60

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:15:06.008381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 184846bc-ac3b-4d40-9039-b4fae68b5d57 · outbound

This paper cites One-Dimensional Simulations of the Topological Defects in a 3:1 $U(1)$ Model.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model One-Dimensional Simulations of the Topological Defects in a 3:1 $U(1)$ Model

Reference 61

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:15:05.993529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cdd1767d-886d-407c-85be-fac5ff28df35 · outbound

This paper cites an unresolved cited work.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Unresolved cited work

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-15T15:15:05.815058Z

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Unavailable: canonical work link unavailable.

Observation fd847fc8-a565-4d58-8156-a645de105bea · outbound

This paper cites an unresolved cited work.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Unresolved cited work

Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:15:06.826121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 39debc2e-d042-47a9-aec5-be35eeae1641 · outbound

This paper cites Fukugita and T.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Fukugita and T

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-15T15:15:05.821794Z

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Unavailable: canonical work link unavailable.

Observation c7324a9c-cc9f-4268-b1a9-28882786397b · outbound

This paper cites Leptogenesis as the origin of matter.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Leptogenesis as the origin of matter

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-15T15:15:05.825230Z

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Observation 46c679d3-0c92-4748-96d0-ec02c69ec1b6 · outbound

This paper cites Neutrino astronomy as a probe of physics beyond the Standard Model: decay of sub-MeV $B$-$L$ gauge boson dark matter.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Neutrino astronomy as a probe of physics beyond the Standard Model: decay of sub-MeV $B$-$L$ gauge boson dark matter

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-15T15:15:05.828797Z

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Unavailable: canonical work link unavailable.

Observation 406207dd-442b-4337-9d72-9eee2dba5f4d · outbound

This paper cites F\'eeton ($B-L$ Gauge Boson) Dark Matter for the 511-keV Gamma-Ray Excess and the Prediction of Low-energy Neutrino Flux.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model F\'eeton ($B-L$ Gauge Boson) Dark Matter for the 511-keV Gamma-Ray Excess and the Prediction of Low-energy Neutrino Flux

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-15T15:15:05.832257Z

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Unavailable: canonical work link unavailable.

Observation 3dbee137-31cd-4e6d-98a1-72ba035cce11 · outbound

This paper cites General solution to the U(1) anomaly equations.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model General solution to the U(1) anomaly equations

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-15T15:15:05.835603Z

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Unavailable: canonical work link unavailable.

Observation 84121716-226d-48be-b036-fedf2e8fbb58 · outbound

This paper cites Probing High-Quality Axions with Gravitational Waves.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Probing High-Quality Axions with Gravitational Waves

Reference 69

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:15:05.940421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fded5444-f895-4406-8430-40114f1de421 · outbound

This paper cites The QCD axion, precisely.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model The QCD axion, precisely

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-15T15:15:05.843110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8845989c-3bd1-445a-ba8b-e8eaa89a709d · outbound

This paper cites an unresolved cited work.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Unresolved cited work

Reference 71

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:15:06.807676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b8e24174-e64a-463e-b37b-9f4ee5a627bd · outbound

This paper cites Srednicki, Axion Couplings to Matter.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Srednicki, Axion Couplings to Matter

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:15:06.797647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e575b739-0fd4-4865-b1ab-7071c1e98314 · outbound

This paper cites The Low-Energy Effective Theory of Axions and ALPs.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model The Low-Energy Effective Theory of Axions and ALPs

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-15T15:15:05.854058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5eb11f73-1fdb-4f64-8ec6-e836cadcee16 · outbound

This paper cites Axion and neutrino bounds improved with new calibrations of the tip of the red-giant branch using geometric distance determinations.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Axion and neutrino bounds improved with new calibrations of the tip of the red-giant branch using geometric distance determinations

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-15T15:15:05.857802Z

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Unavailable: canonical work link unavailable.

Observation d84b9959-ae15-422a-9bb8-b7f04f30ca89 · outbound

This paper cites Holdom, Two U(1)’s and Epsilon Charge Shifts, Phys.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Holdom, Two U(1)’s and Epsilon Charge Shifts, Phys

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-15T15:15:05.861303Z

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Unavailable: canonical work link unavailable.

Observation aec0a5b9-9824-41ae-a5b3-ee5920784bd8 · outbound

This paper cites Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry.

A quality-coupling relation in chiral $U(1)_{B-L}$ axion model Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-15T15:15:05.865505Z

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