New extended Crewther-type relation

CONFORMAL SYMMETRY AS A TEMPLATE: COMMENSURATE SCALE RELATIONS AND PHYSICAL RENORMALIZATION SCHEMES

Stanley J. Brodsky
Johan Rathsman

January 1999

Commensurate scale relations are perturbative QCD predictions which relate observable to observable ...

On convergence of the perturbative series in QCD

Khandramai, V. L.

January 2014

We study the convergence properties of the polarized Bjorken sum rule amplitude with the four-loop e...

Generalization of BLM within the $\{\beta\}$-expansion and the Principle of Maximal Conformality

Kataev, A.L.
Mikhailov, S.V.

September 2014

We discuss generalizations of the BLM optimization procedure for renormgroup invariant quantities. I...

The generalized Crewther relation in QCD and its experimental consequences

Lu, H.J. (Arizona Univ., Tucson, AZ (United States). Dept. of Physics)
Kataev, A.L. (Rossijskaya Akademiya Nauk, Moscow (Russian Federation). Inst. Yadernykh Issledovanij)
Gabadadze, G.T. (Rutgers - the State Univ., Piscataway, NJ (United States). Dept. of Physics and Astronomy)
Brodsky, S.J. (Stanford Linear Accelerator Center (SLAC), CA (United States))
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)

January 1995

We use the BLM scale-fixing prescription to derive a renormalization-scheme invariant relation betwe...

Adler function, Bjorken Sum Rule and Crewther-Broadhurst-Kataev relation with generic fermion representations at order O ( α$_{s}$ $^{4}$ )

Chetyrkin, K. G.

December 2022

We compute the nonsinglet Adler D-function and the coefficient function for Bjorken polarized sum ru...

The generalized Crewther relation: the peculiar aspects of the analytical perturbative QCD calculations

Kataev, A L

July 1996

We summarize the current status of our understanding of the structure of the perturbative QCD expres...

$\{\beta\}$-expansion in QCD, its conformal symmetry limit: theory + applications

Kataev, A.L.
Mikhailov, S.V.

November 2014

The basis of the $\{\beta\}$-expansion for the perturbative series evaluated in the $\overline{MS}$ ...

The $\{\beta\}$-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order $O(\alpha_s^4)$

Baikov, P. A.
Mikhailov, S. V.

July 2022

We derive explicit expressions for the elements of the $\{ \beta \}$-expansion for the nonsinglet Ad...

Conformal symmetry based relation between Bjorken and Ellis-Jaffe sum rules

Kataev, A. L.

January 2012

The identity between expressions for the coefficient functions of the Bjorken and Ellis-Jaffe sum ru...

Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the β-factorization property?

A. V. Garkusha
A. L. Kataev
V. S. Molokoedov

February 2018

Abstract The problem of scheme and gauge dependence of the factorization property of the renormaliza...

The Crewther relation, schemes, gauges and fixed points

Gracey, J. A.
Mason, R. H.

August 2023

We investigate the Crewther relation at high loop order in a variety of renormalization schemes and ...

Polarized Bjorken Sum Rule Analysis: Revised

Khandramai, V. L.
Solovtsova, O. P.
Teryaev, O. V.

January 2013

We present progress in the QCD analysis of the Bjorken sum rule at low momentum transfers. We study...

Conformal Symmetry as a Template:Commensurate Scale Relations and Physical Renormalization Schemes

Brodsky, Stanley J.

June 1999

Commensurate scale relations are perturbative QCD predictions which relate observable to observable ...

The ${\rm{\bar{MS}}}$-scheme $\alpha_s^5$ QCD contributions to the Adler function and Bjorken polarized sum rule in the Crewther-type two-fold $\{\beta\}$-expanded representation

Goriachuk, I. O.
Kataev, A. L.
Molokoedov, V. S.

April 2022

We consider the two-fold expansion in powers of the conformal anomaly and of the strong coupling $\a...

Holographic CBK relation

Gregory Gabadadze
Giorgi Tukhashvili

July 2018

The Crewther–Broadhurst–Kataev (CBK) relation connects the Bjorken function for deep-inelastic sum r...

CONFORMAL SYMMETRY AS A TEMPLATE: COMMENSURATE SCALE RELATIONS AND PHYSICAL RENORMALIZATION SCHEMES

Stanley J. Brodsky
Johan Rathsman

January 1999

Commensurate scale relations are perturbative QCD predictions which relate observable to observable ...

On convergence of the perturbative series in QCD

Khandramai, V. L.

January 2014

We study the convergence properties of the polarized Bjorken sum rule amplitude with the four-loop e...

Generalization of BLM within the $\{\beta\}$-expansion and the Principle of Maximal Conformality

Kataev, A.L.
Mikhailov, S.V.

September 2014

We discuss generalizations of the BLM optimization procedure for renormgroup invariant quantities. I...

The generalized Crewther relation in QCD and its experimental consequences

Lu, H.J. (Arizona Univ., Tucson, AZ (United States). Dept. of Physics)
Kataev, A.L. (Rossijskaya Akademiya Nauk, Moscow (Russian Federation). Inst. Yadernykh Issledovanij)
Gabadadze, G.T. (Rutgers - the State Univ., Piscataway, NJ (United States). Dept. of Physics and Astronomy)
Brodsky, S.J. (Stanford Linear Accelerator Center (SLAC), CA (United States))
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)

January 1995

We use the BLM scale-fixing prescription to derive a renormalization-scheme invariant relation betwe...

Adler function, Bjorken Sum Rule and Crewther-Broadhurst-Kataev relation with generic fermion representations at order O ( α$_{s}$ $^{4}$ )

Chetyrkin, K. G.

December 2022

We compute the nonsinglet Adler D-function and the coefficient function for Bjorken polarized sum ru...

The generalized Crewther relation: the peculiar aspects of the analytical perturbative QCD calculations

Kataev, A L

July 1996

We summarize the current status of our understanding of the structure of the perturbative QCD expres...

$\{\beta\}$-expansion in QCD, its conformal symmetry limit: theory + applications

Kataev, A.L.
Mikhailov, S.V.

November 2014

The basis of the $\{\beta\}$-expansion for the perturbative series evaluated in the $\overline{MS}$ ...

The $\{\beta\}$-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order $O(\alpha_s^4)$

Baikov, P. A.
Mikhailov, S. V.

July 2022

We derive explicit expressions for the elements of the $\{ \beta \}$-expansion for the nonsinglet Ad...

Conformal symmetry based relation between Bjorken and Ellis-Jaffe sum rules

Kataev, A. L.

January 2012

The identity between expressions for the coefficient functions of the Bjorken and Ellis-Jaffe sum ru...

Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the β-factorization property?

A. V. Garkusha
A. L. Kataev
V. S. Molokoedov

February 2018

Abstract The problem of scheme and gauge dependence of the factorization property of the renormaliza...

The Crewther relation, schemes, gauges and fixed points

Gracey, J. A.
Mason, R. H.

August 2023

We investigate the Crewther relation at high loop order in a variety of renormalization schemes and ...

Polarized Bjorken Sum Rule Analysis: Revised

Khandramai, V. L.
Solovtsova, O. P.
Teryaev, O. V.

January 2013

We present progress in the QCD analysis of the Bjorken sum rule at low momentum transfers. We study...

Conformal Symmetry as a Template:Commensurate Scale Relations and Physical Renormalization Schemes

Brodsky, Stanley J.

June 1999

Commensurate scale relations are perturbative QCD predictions which relate observable to observable ...

The ${\rm{\bar{MS}}}$-scheme $\alpha_s^5$ QCD contributions to the Adler function and Bjorken polarized sum rule in the Crewther-type two-fold $\{\beta\}$-expanded representation

Goriachuk, I. O.
Kataev, A. L.
Molokoedov, V. S.

April 2022

We consider the two-fold expansion in powers of the conformal anomaly and of the strong coupling $\a...

Holographic CBK relation

Gregory Gabadadze
Giorgi Tukhashvili

July 2018

The Crewther–Broadhurst–Kataev (CBK) relation connects the Bjorken function for deep-inelastic sum r...

CONFORMAL SYMMETRY AS A TEMPLATE: COMMENSURATE SCALE RELATIONS AND PHYSICAL RENORMALIZATION SCHEMES

Stanley J. Brodsky
Johan Rathsman

January 1999

Commensurate scale relations are perturbative QCD predictions which relate observable to observable ...

On convergence of the perturbative series in QCD

Khandramai, V. L.

January 2014

We study the convergence properties of the polarized Bjorken sum rule amplitude with the four-loop e...

Generalization of BLM within the $\{\beta\}$-expansion and the Principle of Maximal Conformality

Kataev, A.L.
Mikhailov, S.V.

September 2014

We discuss generalizations of the BLM optimization procedure for renormgroup invariant quantities. I...

New extended Crewther-type relation

Abstract

Extracted data

New extended Crewther-type relation

Abstract

Extracted data

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