Paper Citation Record · LEDGER

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD

As of 15 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2509.10786.

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2509.10786 v1

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Outbound references

Observation 95e2a658-ab12-4ce1-ba23-c29bf558490e · outbound

This paper cites ’t Hooft,Can We Make Sense Out of Quantum Chromodynamics?,Subnucl.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD ’t Hooft,Can We Make Sense Out of Quantum Chromodynamics?,Subnucl

Reference 1

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Observation 097f62f1-b1d2-4e2c-baae-ce5b789bd00c · outbound

This paper cites Parisi,Singularities of the Borel Transform in Renormalizable Theories,Phys.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Parisi,Singularities of the Borel Transform in Renormalizable Theories,Phys

Reference 2

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Observation 85f5a93d-0614-449b-a7bc-78c5a18c78a4 · outbound

This paper cites Parisi,On Infrared Divergences,Nucl.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Parisi,On Infrared Divergences,Nucl

Reference 3

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This paper cites David,On the Ambiguity of Composite Operators, IR Renormalons and the Status of the Operator Product Expansion,Nucl.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD David,On the Ambiguity of Composite Operators, IR Renormalons and the Status of the Operator Product Expansion,Nucl

Reference 4

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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Unresolved cited work

Reference 5

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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Unresolved cited work

Reference 6

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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Unresolved cited work

Reference 7

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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Unresolved cited work

Reference 8

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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Unresolved cited work

Reference 9

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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Unresolved cited work

Reference 10

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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Unresolved cited work

Reference 11

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Observation 832c5068-170d-4338-9685-493b8ec76614 · outbound

This paper cites The Nielsen Identities for the Two-Point Functions of QED and QCD.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD The Nielsen Identities for the Two-Point Functions of QED and QCD

Reference 12

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Observation e5099e38-e4d2-47bf-b6bf-9f8ad72db1a2 · outbound

This paper cites The Perturbative Pole Mass in QCD.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD The Perturbative Pole Mass in QCD

Reference 13

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Observation 9ab816da-f0f3-4d0b-9f2b-d38e6947d510 · outbound

This paper cites The Pole Mass of The Heavy Quark. Perturbation Theory and Beyond.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD The Pole Mass of The Heavy Quark. Perturbation Theory and Beyond

Reference 14

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Observation d483c1a1-b36b-4b2e-94b3-ef29711f9727 · outbound

This paper cites Heavy Quark Effective Theory beyond Perturbation Theory: Renormalons, the Pole Mass and the Residual Mass Term.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Heavy Quark Effective Theory beyond Perturbation Theory: Renormalons, the Pole Mass and the Residual Mass Term

Reference 15

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Observation 7be34689-5633-446f-8f1f-7c920f776940 · outbound

This paper cites More on ambiguities in the pole mass.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD More on ambiguities in the pole mass

Reference 16

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Observation 35c4de03-ac64-4d77-9d21-8a9e9344a145 · outbound

This paper cites Top-quark pole mass.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Top-quark pole mass

Reference 17

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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Unresolved cited work

Reference 18

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Observation cb6826d5-5b2a-4c9d-867c-d2fa5aa40df3 · outbound

This paper cites Tarrach,The Pole Mass in Perturbative QCD,Nucl.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Tarrach,The Pole Mass in Perturbative QCD,Nucl

Reference 19

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Observation ac2ab218-bfdb-4e67-af08-a148697952e8 · outbound

This paper cites Renormalons.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Renormalons

Reference 20

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Observation 7d84d9f2-906c-47ee-9f85-52f04d7f885f · outbound

This paper cites The three loop relation between the \bar {MS} and the pole quark masses.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD The three loop relation between the \bar {MS} and the pole quark masses

Reference 21

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This paper cites The relation between the $\bar{\rm MS}$ and the on-shell quark mass at order $\alpha_s^3$.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD The relation between the $\bar{\rm MS}$ and the on-shell quark mass at order $\alpha_s^3$

Reference 22

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This paper cites Quark mass relations to four-loop order.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Quark mass relations to four-loop order

Reference 23

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This paper cites $\overline{\rm MS}$-on-shell quark mass relation up to four loops in QCD and a general SU$(N)$ gauge group.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD $\overline{\rm MS}$-on-shell quark mass relation up to four loops in QCD and a general SU$(N)$ gauge group

Reference 24

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This paper cites Multiloop contributions to the on-shell-$ \overline{\rm{MS}}$ heavy quark mass relation in QCD and the asymptotic structure of the corresponding series: the updated consideration.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Multiloop contributions to the on-shell-$ \overline{\rm{MS}}$ heavy quark mass relation in QCD and the asymptotic structure of the corresponding series: the updated consideration

Reference 25

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This paper cites Version 3 of {\tt RunDec} and {\tt CRunDec}.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Version 3 of {\tt RunDec} and {\tt CRunDec}

Reference 26

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This paper cites Five-Loop Running of the QCD coupling constant.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Five-Loop Running of the QCD coupling constant

Reference 27

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This paper cites The five-loop beta function of Yang-Mills theory with fermions.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD The five-loop beta function of Yang-Mills theory with fermions

Reference 28

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This paper cites The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge

Reference 29

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This paper cites Quark Mass and Field Anomalous Dimensions to ${\cal O}(\alpha_s^5)$.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Quark Mass and Field Anomalous Dimensions to ${\cal O}(\alpha_s^5)$

Reference 30

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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Five-loop quark mass and field anomalous dimensions for a general gauge group

Reference 31

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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators

Reference 32

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This paper cites Sum Rules for Heavy Flavor Transitions in the SV Limit.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Sum Rules for Heavy Flavor Transitions in the SV Limit

Reference 33

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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD High Power n of m_b in Beauty Widths and n=5 -> oo Limit

Reference 34

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Observation 613c0466-5333-4803-917d-1b5f6f493a58 · outbound

This paper cites Non-Abelian Dipole Radiation and the Heavy Quark Expansion.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Non-Abelian Dipole Radiation and the Heavy Quark Expansion

Reference 35

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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD The Kinetic Heavy Quark Mass to Three Loops

Reference 36

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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD A quark mass definition adequate for threshold problems

Reference 37

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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Infrared Renormalization Group Flow for Heavy Quark Masses

Reference 38

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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD B decay and the Upsilon mass

Reference 39

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This paper cites The MSR Mass and the ${\cal O}(\Lambda_{\rm QCD})$ Renormalon Sum Rule.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD The MSR Mass and the ${\cal O}(\Lambda_{\rm QCD})$ Renormalon Sum Rule

Reference 40

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This paper cites Determination of the bottom quark mass from the $\Upsilon(1S)$ system.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Determination of the bottom quark mass from the $\Upsilon(1S)$ system

Reference 41

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This paper cites A discussion on leading renormalon in the pole mass.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD A discussion on leading renormalon in the pole mass

Reference 42

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This paper cites A General Method for Non-Perturbative Renormalization of Lattice Operators.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD A General Method for Non-Perturbative Renormalization of Lattice Operators

Reference 43

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This paper cites Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions

Reference 44

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Observation b6d07e6b-a8b5-4336-b75e-82a63447da17 · outbound

This paper cites Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point

Reference 45

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This paper cites A massive momentum-subtraction scheme.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD A massive momentum-subtraction scheme

Reference 46

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This paper cites Pole mass renormalon and its ramifications.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD Pole mass renormalon and its ramifications

Reference 47

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This paper cites RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses.

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses

Reference 48

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