Large-order behaviour due to ultraviolet renormalons in QCD

M. Beneke; V. M. Braun; N. Kivel

doi:10.1016/S0370-2693(97)00562-5

Large-order behaviour due to ultraviolet renormalons in QCD

M. Beneke, V. M. Braun, N. Kivel

Research output: Contribution to journal › Article › peer-review

46 Scopus citations

Abstract

Ultraviolet renormalons, contrary to their infrared counterparts, lead to a universal contribution to the large-order behaviour of perturbative expansions in QCD. In this letter, we determine the nature of the leading ultraviolet renormalon singularity for the inclusive hadroproduction cross section in e⁺ e^- annihilation, for hadronic τ decays and the moments of deep-inelastic scattering structure functions. We comment on the relevance of ultraviolet renormalons to estimates in low orders of perturbation theory.

Original language	English
Pages (from-to)	315-320
Number of pages	6
Journal	Physics Letters B
Volume	404
Issue number	3-4
DOIs	https://doi.org/10.1016/S0370-2693(97)00562-5
State	Published - 10 Jul 1997
Externally published	Yes

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title = "Large-order behaviour due to ultraviolet renormalons in QCD",

abstract = "Ultraviolet renormalons, contrary to their infrared counterparts, lead to a universal contribution to the large-order behaviour of perturbative expansions in QCD. In this letter, we determine the nature of the leading ultraviolet renormalon singularity for the inclusive hadroproduction cross section in e+ e- annihilation, for hadronic τ decays and the moments of deep-inelastic scattering structure functions. We comment on the relevance of ultraviolet renormalons to estimates in low orders of perturbation theory.",

author = "M. Beneke and Braun, {V. M.} and N. Kivel",

note = "Funding Information: We thank David Summers for reading the manuscript. The work by N.K. was supported by NORDITA as a part of the Baltic Fellowship program funded by the Nordic Council of Ministers.",

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AU - Beneke, M.

AU - Braun, V. M.

AU - Kivel, N.

N1 - Funding Information: We thank David Summers for reading the manuscript. The work by N.K. was supported by NORDITA as a part of the Baltic Fellowship program funded by the Nordic Council of Ministers.

PY - 1997/7/10

Y1 - 1997/7/10

N2 - Ultraviolet renormalons, contrary to their infrared counterparts, lead to a universal contribution to the large-order behaviour of perturbative expansions in QCD. In this letter, we determine the nature of the leading ultraviolet renormalon singularity for the inclusive hadroproduction cross section in e+ e- annihilation, for hadronic τ decays and the moments of deep-inelastic scattering structure functions. We comment on the relevance of ultraviolet renormalons to estimates in low orders of perturbation theory.

AB - Ultraviolet renormalons, contrary to their infrared counterparts, lead to a universal contribution to the large-order behaviour of perturbative expansions in QCD. In this letter, we determine the nature of the leading ultraviolet renormalon singularity for the inclusive hadroproduction cross section in e+ e- annihilation, for hadronic τ decays and the moments of deep-inelastic scattering structure functions. We comment on the relevance of ultraviolet renormalons to estimates in low orders of perturbation theory.

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U2 - 10.1016/S0370-2693(97)00562-5

DO - 10.1016/S0370-2693(97)00562-5

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VL - 404

SP - 315

EP - 320

JO - Physics Letters B

JF - Physics Letters B

IS - 3-4

ER -

Large-order behaviour due to ultraviolet renormalons in QCD

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