The variable flavor number scheme to three-loop order | Paper Citation Record

Observation f7666dac-9432-4d46-b93e-a2e92a0da0cb · outbound

This paper cites Callan, Jr.,Broken scale invariance in scalar field theory, Phys.

The variable flavor number scheme to three-loop order Callan, Jr.,Broken scale invariance in scalar field theory, Phys

Reference 1

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Observation a8845daa-2727-4f59-9fd0-b1f5a86bf87c · outbound

This paper cites Symanzik,Small distance behavior in field theory and power counting, Commun.

The variable flavor number scheme to three-loop order Symanzik,Small distance behavior in field theory and power counting, Commun

Reference 2

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Observation 63bc734d-c50a-4966-b7d9-e739bb074c02 · outbound

This paper cites Charm electroproduction viewed in the variable-flavour number scheme versus fixed-order perturbation theory.

The variable flavor number scheme to three-loop order Charm electroproduction viewed in the variable-flavour number scheme versus fixed-order perturbation theory

Reference 3

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Observation 9134ebdd-cfaf-4888-9d2b-28410ba63577 · outbound

This paper cites The Variable Flavor Number Scheme at Next-to-Leading Order.

The variable flavor number scheme to three-loop order The Variable Flavor Number Scheme at Next-to-Leading Order

Reference 4

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Observation 29815b41-4385-489f-9b3f-c8ff704d3a63 · outbound

This paper cites $O(\alpha_s^2$) Polarized Heavy Flavor Corrections}to Deep-Inelastic Scattering at $Q^2 \gg m^2$.

The variable flavor number scheme to three-loop order $O(\alpha_s^2$) Polarized Heavy Flavor Corrections}to Deep-Inelastic Scattering at $Q^2 \gg m^2$

Reference 5

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Observation 8b34b9f3-b7d4-47d3-92ef-a7b763ba4131 · outbound

This paper cites Ablinger, A.

The variable flavor number scheme to three-loop order Ablinger, A

Reference 6

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Observation 4c7e1d53-2777-4389-9f4f-3d5de47b5502 · outbound

This paper cites an unresolved cited work.

The variable flavor number scheme to three-loop order Unresolved cited work

Reference 7

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Observation edb614a0-b7c9-46b7-be85-78919214d1bd · outbound

This paper cites Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses.

The variable flavor number scheme to three-loop order Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses

Reference 8

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Observation d12727db-645c-49d9-805d-50946c2d84db · outbound

This paper cites Heavy quark coefficient functions at asymptotic values $Q^2 \gg m^2$.

The variable flavor number scheme to three-loop order Heavy quark coefficient functions at asymptotic values $Q^2 \gg m^2$

Reference 9

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Observation 6b326cf0-9c85-4050-8e1f-21065d4e054a · outbound

This paper cites Leptoproduction of Heavy Quarks II -- A Unified QCD Formulation of Charged and Neutral Current Processes from Fixed-target to Collider Energies.

The variable flavor number scheme to three-loop order Leptoproduction of Heavy Quarks II -- A Unified QCD Formulation of Charged and Neutral Current Processes from Fixed-target to Collider Energies

Reference 10

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Observation f62c6383-2647-4e00-84e0-230b1c1ab734 · outbound

This paper cites Hard-scattering factorization with heavy quarks: A general treatment.

The variable flavor number scheme to three-loop order Hard-scattering factorization with heavy quarks: A general treatment

Reference 11

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Observation 48a97963-c920-4878-a0a2-2d63ff164d8f · outbound

This paper cites The p_T Spectrum in Heavy-Flavour Hadroproduction.

The variable flavor number scheme to three-loop order The p_T Spectrum in Heavy-Flavour Hadroproduction

Reference 12

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Observation 36eddfe5-88a7-41c4-8f12-8c45d1982b57 · outbound

This paper cites An Ordered Analysis of Heavy Flavour Production in Deep Inelastic Scattering.

The variable flavor number scheme to three-loop order An Ordered Analysis of Heavy Flavour Production in Deep Inelastic Scattering

Reference 13

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Observation ece2afc0-7a0c-43a2-b910-55ee0942c60a · outbound

This paper cites Heavy quarks in deep-inelastic scattering.

The variable flavor number scheme to three-loop order Heavy quarks in deep-inelastic scattering

Reference 14

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Observation f73af5bd-24e7-4eef-aeb1-df6ce7e7f8a5 · outbound

This paper cites Mellin Moments of the {$O(\alpha_s^3$)} Heavy Flavor Contributions to unpolarized Deep-Inelastic Scattering at $Q^2 \gg m^2$ and Anomalous Dimensions.

The variable flavor number scheme to three-loop order Mellin Moments of the {$O(\alpha_s^3$)} Heavy Flavor Contributions to unpolarized Deep-Inelastic Scattering at $Q^2 \gg m^2$ and Anomalous Dimensions

Reference 15

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Observation e765ae07-81ae-413f-857e-62034d117ef7 · outbound

This paper cites an unresolved cited work.

The variable flavor number scheme to three-loop order Unresolved cited work

Reference 16

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Observation a5fb2263-faee-45ac-98da-06c2ec6882da · outbound

This paper cites Watson,Spin Spin Asymmetries In Inclusive Muon Proton Charm Production, Z.

The variable flavor number scheme to three-loop order Watson,Spin Spin Asymmetries In Inclusive Muon Proton Charm Production, Z

Reference 17

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Observation f6543091-cdfb-465e-b46b-2b1e97f6044a · outbound

This paper cites $O(\alpha_s^2)$ corrections to polarized heavy flavour production at $Q^2\gg m^2$.

The variable flavor number scheme to three-loop order $O(\alpha_s^2)$ corrections to polarized heavy flavour production at $Q^2\gg m^2$

Reference 18

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Observation f9a0e695-237b-4702-9b13-b01b07490700 · outbound

This paper cites an unresolved cited work.

The variable flavor number scheme to three-loop order Unresolved cited work

Reference 19

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Observation a9fb3acf-44f4-4de4-8e24-135496ae462b · outbound

This paper cites The Gluonic Operator Matrix Elements at O(\alpha_s^2) for DIS Heavy Flavor Production.

The variable flavor number scheme to three-loop order The Gluonic Operator Matrix Elements at O(\alpha_s^2) for DIS Heavy Flavor Production

Reference 20

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Observation 73db7f06-ff98-459a-a55b-31d473cbe1ca · outbound

This paper cites The Complete $O(\alpha_s^2)$ Non-Singlet Heavy Flavor Corrections to the Structure Functions $g_{1,2}^{ep}(x,Q^2)$, $F_{1,2,L}^{ep}(x,Q^2)$, $F_{1,2,3}^{\nu(\bar{\nu})}(x,Q^2)$ and the Associated Sum Rules.

The variable flavor number scheme to three-loop order The Complete $O(\alpha_s^2)$ Non-Singlet Heavy Flavor Corrections to the Structure Functions $g_{1,2}^{ep}(x,Q^2)$, $F_{1,2,L}^{ep}(x,Q^2)$, $F_{1,2,3}^{\nu(\bar{\nu})}(x,Q^2)$ and the Associated Sum Rules

Reference 21

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Observation eb14a0c5-0fef-49da-b514-4ed0e9502a30 · outbound

This paper cites The O(\alpha_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x,Q^2) and Transversity.

The variable flavor number scheme to three-loop order The O(\alpha_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x,Q^2) and Transversity

Reference 22

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Observation 668e453d-3ccc-4955-aefd-bdef4989f643 · outbound

This paper cites The Logarithmic Contributions to the O(\alpha_s^3) Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering.

The variable flavor number scheme to three-loop order The Logarithmic Contributions to the O(\alpha_s^3) Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering

Reference 23

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Observation 9f325c58-cfe6-41a7-a8f3-1755f58061f4 · outbound

This paper cites The Transition Matrix Element A_{gq}(N) of the Variable Flavor Number Scheme at O(\alpha_s^3).

The variable flavor number scheme to three-loop order The Transition Matrix Element A_{gq}(N) of the Variable Flavor Number Scheme at O(\alpha_s^3)

Reference 24

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Observation 639dd358-ff7e-4643-9da5-9daf7e7b85e0 · outbound

This paper cites The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function $F_2(x,Q^2)$ and Transversity.

The variable flavor number scheme to three-loop order The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function $F_2(x,Q^2)$ and Transversity

Reference 25

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Observation 531d6993-9e02-498c-b4b8-1aca9a8dab85 · outbound

This paper cites The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_2(x,Q^2)$ and the Anomalous Dimension.

The variable flavor number scheme to three-loop order The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_2(x,Q^2)$ and the Anomalous Dimension

Reference 26

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Observation 0363c07a-f68e-44ea-8bd0-dbbba4d73032 · outbound

This paper cites The three-loop single mass polarized pure singlet operator matrix element.

The variable flavor number scheme to three-loop order The three-loop single mass polarized pure singlet operator matrix element

Reference 27

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Observation fc8db93b-bf1d-4f34-a999-2daf3a944f68 · outbound

This paper cites The Logarithmic Contributions to the Polarized and Operator Matrix Elements in Deeply Inelastic Scattering.

The variable flavor number scheme to three-loop order The Logarithmic Contributions to the Polarized and Operator Matrix Elements in Deeply Inelastic Scattering

Reference 28

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Observation 81145daa-6f83-4f68-b6cd-f850ce1a8d63 · outbound

This paper cites The Polarized Transition Matrix Element $A_{gq}(N)$ of the Variable Flavor Number Scheme at $O(\alpha_s^3)$.

The variable flavor number scheme to three-loop order The Polarized Transition Matrix Element $A_{gq}(N)$ of the Variable Flavor Number Scheme at $O(\alpha_s^3)$

Reference 29

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Observation 704731f3-a4fc-42f6-ba26-25581ea87dce · outbound

This paper cites The Unpolarized and Polarized Single-Mass Three-Loop Heavy Flavor Operator Matrix Elements $A_{gg,Q}$ and $\Delta A_{gg,Q}$.

The variable flavor number scheme to three-loop order The Unpolarized and Polarized Single-Mass Three-Loop Heavy Flavor Operator Matrix Elements $A_{gg,Q}$ and $\Delta A_{gg,Q}$

Reference 30

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Observation b8d77e4d-9950-4994-b0a9-33984c7c48cb · outbound

This paper cites The first-order factorizable contributions to the three-loop massive operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$.

The variable flavor number scheme to three-loop order The first-order factorizable contributions to the three-loop massive operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$

Reference 31

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Observation de1d2296-8d09-4ac3-849e-6743dd9eed6f · outbound

This paper cites The non-first-order-factorizable contributions to the three-loop single-mass operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$.

The variable flavor number scheme to three-loop order The non-first-order-factorizable contributions to the three-loop single-mass operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$

Reference 32

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Observation bd5ed61b-334e-4fd8-9045-c35086f98c6c · outbound

This paper cites The two-mass contribution to the three-loop pure singlet operator matrix element.

The variable flavor number scheme to three-loop order The two-mass contribution to the three-loop pure singlet operator matrix element

Reference 33

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Observation 14c182c3-b644-4f5f-a245-eba5233d03a5 · outbound

This paper cites The Two-mass Contribution to the Three-Loop Gluonic Operator Matrix Element $A_{gg,Q}^{(3)}$.

The variable flavor number scheme to three-loop order The Two-mass Contribution to the Three-Loop Gluonic Operator Matrix Element $A_{gg,Q}^{(3)}$

Reference 34

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Observation 9b8aaced-6269-4772-8498-827ac7ccbd9e · outbound

This paper cites The three-loop polarized pure singlet operator matrix element with two different masses.

The variable flavor number scheme to three-loop order The three-loop polarized pure singlet operator matrix element with two different masses

Reference 35

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Observation 9867d60e-5102-40ac-b5ab-d401fc855008 · outbound

This paper cites The Two-mass Contribution to the Three-Loop Polarized Operator Matrix Element $A_{gg,Q}^{(3)}$.

The variable flavor number scheme to three-loop order The Two-mass Contribution to the Three-Loop Polarized Operator Matrix Element $A_{gg,Q}^{(3)}$

Reference 36

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Observation b30facfb-22b8-44a9-9966-662be607d8a1 · outbound

This paper cites Ablinger, J.

The variable flavor number scheme to three-loop order Ablinger, J

Reference 37

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Observation 44cc29e2-74a7-4b2f-aa80-d1984fa2eaa6 · outbound

This paper cites The renormalization of the axial anomaly in dimensional regularization.

The variable flavor number scheme to three-loop order The renormalization of the axial anomaly in dimensional regularization

Reference 38

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Observation ec69faa5-d41a-4874-9183-7139f6b829a6 · outbound

This paper cites Next-to-Next-to-Leading Order Evolution of Polarized Parton Densities in the Larin Scheme.

The variable flavor number scheme to three-loop order Next-to-Next-to-Leading Order Evolution of Polarized Parton Densities in the Larin Scheme

Reference 39

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Observation f849e580-ac4d-4a69-a4fd-14a7ff56ea09 · outbound

This paper cites The massless three-loop Wilson coefficients for the deep-inelastic structure functions $F_2, F_L, xF_3$ and $g_1$.

The variable flavor number scheme to three-loop order The massless three-loop Wilson coefficients for the deep-inelastic structure functions $F_2, F_L, xF_3$ and $g_1$

Reference 40

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Observation 9dbb1a4b-f0f7-4ac3-8eb2-89ee5ab7be67 · outbound

This paper cites an unresolved cited work.

The variable flavor number scheme to three-loop order Unresolved cited work

Reference 41

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Observation 40a26b26-b343-485d-b06d-be2ed4e99d90 · outbound

This paper cites The third-order QCD corrections to deep-inelastic scattering by photon exchange.

The variable flavor number scheme to three-loop order The third-order QCD corrections to deep-inelastic scattering by photon exchange

Reference 42

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Observation 53847dac-1cbf-4be0-98bd-5e047a6bdf9a · outbound

This paper cites an unresolved cited work.

The variable flavor number scheme to three-loop order Unresolved cited work

Reference 43

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Observation cffbbae6-f183-4c30-8417-38c358955a50 · outbound

This paper cites Zhu,The N3LO twist-2 matching of helicity TMDs and SIDIS q∗ spectrum, JHEP02(2026) 115 [arXiv:2509.01655v4 [hep-ph] 07 Feb 2026].

The variable flavor number scheme to three-loop order Zhu,The N3LO twist-2 matching of helicity TMDs and SIDIS q∗ spectrum, JHEP02(2026) 115 [arXiv:2509.01655v4 [hep-ph] 07 Feb 2026]

Reference 44

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Observation 1611bb4b-716f-45ed-9079-bb5cff4848e8 · outbound

This paper cites The O(\alpha_s^3) Heavy Flavor Contributions to the Charged Current Structure Function xF_3(x,Q^2) at Large Momentum Transfer.

The variable flavor number scheme to three-loop order The O(\alpha_s^3) Heavy Flavor Contributions to the Charged Current Structure Function xF_3(x,Q^2) at Large Momentum Transfer

Reference 45

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Observation 6ec38527-ee45-407f-9383-b5f3edca38ce · outbound

This paper cites The 3-Loop Non-Singlet Heavy Flavor Contributions to the Structure Function g_1(x,Q^2) at Large Momentum Transfer.

The variable flavor number scheme to three-loop order The 3-Loop Non-Singlet Heavy Flavor Contributions to the Structure Function g_1(x,Q^2) at Large Momentum Transfer

Reference 46

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Observation 2152be1d-3d34-460c-a82c-27c922229d14 · outbound

This paper cites The Asymptotic 3-Loop Heavy Flavor Corrections to the Charged Current Structure Functions $F_L^{W^+-W^-}(x,Q^2)$ and $F_2^{W^+-W^-}(x,Q^2)$.

The variable flavor number scheme to three-loop order The Asymptotic 3-Loop Heavy Flavor Corrections to the Charged Current Structure Functions $F_L^{W^+-W^-}(x,Q^2)$ and $F_2^{W^+-W^-}(x,Q^2)$

Reference 47

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Observation d810bed3-6a62-4e08-87dc-e45c1e1b1be7 · outbound

This paper cites The $O(\alpha_s^2)$ Heavy Quark Corrections to Charged Current Deep-Inelastic Scattering at large Virtualities.

The variable flavor number scheme to three-loop order The $O(\alpha_s^2)$ Heavy Quark Corrections to Charged Current Deep-Inelastic Scattering at large Virtualities

Reference 48

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Observation 057047a4-5830-4f26-849d-48b78ffae8bf · outbound

This paper cites Analytic results for heavy-quark contributions to charged-current DIS at NNLO.

The variable flavor number scheme to three-loop order Analytic results for heavy-quark contributions to charged-current DIS at NNLO

Reference 49

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Observation 8b8f9f2e-d293-4c18-bef9-4fc0d8a47e73 · outbound

This paper cites Numerical Evaluation of Harmonic Polylogarithms.

The variable flavor number scheme to three-loop order Numerical Evaluation of Harmonic Polylogarithms

Reference 50

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Observation 25ca82fd-e738-487e-8f55-ba5fb7ec54a4 · outbound

This paper cites Numerical Implementation of Harmonic Polylogarithms to Weight w = 8.

The variable flavor number scheme to three-loop order Numerical Implementation of Harmonic Polylogarithms to Weight w = 8

Reference 51

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Observation 7eab6a8c-731d-4fef-8807-106048cf2c59 · outbound

This paper cites FORM version 4.2.

The variable flavor number scheme to three-loop order FORM version 4.2

Reference 52

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Observation 9daa692d-fe91-4d11-9612-6c9c3c78b7ce · outbound

This paper cites Analytic Computing Methods for Precision Calculations in Quantum Field Theory.

The variable flavor number scheme to three-loop order Analytic Computing Methods for Precision Calculations in Quantum Field Theory

Reference 53

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Observation 6748213b-620b-4ce8-a718-31d7e90ab62d · outbound

This paper cites The unpolarized two-loop massive pure singlet Wilson coefficients for deep-inelastic scattering.

The variable flavor number scheme to three-loop order The unpolarized two-loop massive pure singlet Wilson coefficients for deep-inelastic scattering

Reference 54

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Observation 254c866f-1824-4346-8c01-e8482fdee2f3 · outbound

This paper cites The Polarized Two-Loop Massive Pure Singlet Wilson Coefficient for Deep-Inelastic Scattering.

The variable flavor number scheme to three-loop order The Polarized Two-Loop Massive Pure Singlet Wilson Coefficient for Deep-Inelastic Scattering

Reference 55

Resolution: unresolved; no resolver link, observed 2026-07-11T07:37:18.331806Z

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Observation 41ad2c3e-c8ad-424c-ba98-cd9e401bcde7 · outbound

This paper cites The strong coupling constant: State of the art and the decade ahead.

The variable flavor number scheme to three-loop order The strong coupling constant: State of the art and the decade ahead

Reference 56

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Observation 13393ba2-af26-43ed-afa8-cf9d5a6d159c · outbound

This paper cites Precise charm-quark mass from deep-inelastic scattering.

The variable flavor number scheme to three-loop order Precise charm-quark mass from deep-inelastic scattering

Reference 57

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Observation f76c372c-b27b-451c-b4c1-4eb5730b9967 · outbound

This paper cites Gluons and the quark sea at high energies: distributions, polarization, tomography.

The variable flavor number scheme to three-loop order Gluons and the quark sea at high energies: distributions, polarization, tomography

Reference 58

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Observation f1167e30-0e8c-40a8-8402-9515e8dfe5d2 · outbound

This paper cites The N$^3$LO Scheme-invariant QCD Evolution of the Non-singlet Structure Functions \boldmath $F^{\rm NS}_2(x,Q^2)$ and $g_1^{\rm NS}(x,Q^2)$.

The variable flavor number scheme to three-loop order The N$^3$LO Scheme-invariant QCD Evolution of the Non-singlet Structure Functions \boldmath $F^{\rm NS}_2(x,Q^2)$ and $g_1^{\rm NS}(x,Q^2)$

Reference 59

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Observation 54f852cd-d892-44c5-bca8-42c85ab17406 · outbound

This paper cites The four-loop non-singlet splitting functions in QCD.

The variable flavor number scheme to three-loop order The four-loop non-singlet splitting functions in QCD

Reference 60

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Observation 665d6162-91c0-4841-8389-cfd101719cb3 · outbound

This paper cites Guyot, A.

The variable flavor number scheme to three-loop order Guyot, A

Reference 61

Resolution: unresolved; no resolver link, observed 2026-07-11T07:37:18.331806Z

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