The $\{\beta\}$-expansion formalism in perturbative QCD and its extension

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

doi:10.1007/JHEP11(2016)079

The $\{\beta\}$ -expansion formalism in perturbative QCD and its extension

A.L. Kataev
(
- Moscow, INR and
- Moscow, MIPT
)
,
S.V. Mikhailov
(
- Dubna, JINR
)

Jul 29, 2016

15 pages

Published in:

JHEP 11 (2016) 079

Published: Nov 11, 2016

e-Print:

1607.08698 [hep-th]

DOI:

10.1007/JHEP11(2016)079

View in:

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Abstract: (Springer)

We discuss the {β}-expansion for renormalization group invariant quantities tracing this expansion to the different contractions of the corresponding incomplete BPHZ R-operation. All of the coupling renormalizations, which follow from these contractions, should be taken into account for the {β}-expansion. We illustrate this feature considering the nonsinglet Adler function D

^{NS}

in the third order of perturbation. We propose a generalization of the {β}-expansion for the renormalization group covariant quantities — the {β, γ}-expansion.

Note:

16 pages, 3 figures, a few editorial corrections for JHEP version

12.38.Lg
12.38.Bx
13.40.Gp
11.10.Hi
Renormalization Group
Renormalization Regularization and Renormalons
renormalization group: invariance
quantum chromodynamics
renormalization
perturbation

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The {β}\{\beta\}{β}-expansion formalism in perturbative QCD and its extension

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The $\{\beta\}$ -expansion formalism in perturbative QCD and its extension