Two-loop effects in the evolution of non-forward distributions

A. V. Belitsky; D. Müller; L. Niedermeier; A. Schäfer

doi:10.1016/S0370-2693(98)00874-0

Two-loop effects in the evolution of non-forward distributions

A. V. Belitsky
, D. Müller
, L. Niedermeier
, A. Schäfer

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

45 Scopus citations

Abstract

We study the effects of next-to-leading order corrections on the evolution of the twist-two non-forward parton distribution functions in the flavour non-singlet sector. It is found that the deviation from leading order evolution is small for all values of the parton momentum fraction variable for moderately large values of the scale parameter.

Original language	English (US)
Pages (from-to)	160-168
Number of pages	9
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	437
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(98)00874-0
State	Published - Oct 1 1998
Externally published	Yes

Keywords

Anomalous dimensions
Conformal operators
Evolution equations
Non-forward distributions

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0370-2693(98)00874-0

Cite this

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title = "Two-loop effects in the evolution of non-forward distributions",

abstract = "We study the effects of next-to-leading order corrections on the evolution of the twist-two non-forward parton distribution functions in the flavour non-singlet sector. It is found that the deviation from leading order evolution is small for all values of the parton momentum fraction variable for moderately large values of the scale parameter.",

keywords = "Anomalous dimensions, Conformal operators, Evolution equations, Non-forward distributions",

author = "Belitsky, \{A. V.\} and D. M{\"u}ller and L. Niedermeier and A. Sch{\"a}fer",

note = "Funding Information: One of us (A.B.) would like to thank A.V. Radyushkin for useful correspondence and providing some of his results on the model of the non-forward distributions before publication. He also what to thank G.P. Korchemsky and B. Pire for useful conversations and O.V. Teryaev for discussions about the positivity constraints for non-forward distributions. A.B. is grateful to G.P. Korchemsky and D. Schiff for the hospitality at LPTHE (Orsay) and B. Pire at {\'E}cole Polytechnique. A.B. was supported by the Alexander von Humboldt Foundation and partially by Russian Foundation for Fundamental Research, grant N 96-02-17631.",

year = "1998",

month = oct,

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doi = "10.1016/S0370-2693(98)00874-0",

language = "English (US)",

volume = "437",

pages = "160--168",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier B.V.",

number = "1-2",

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TY - JOUR

T1 - Two-loop effects in the evolution of non-forward distributions

AU - Belitsky, A. V.

AU - Müller, D.

AU - Niedermeier, L.

AU - Schäfer, A.

N1 - Funding Information: One of us (A.B.) would like to thank A.V. Radyushkin for useful correspondence and providing some of his results on the model of the non-forward distributions before publication. He also what to thank G.P. Korchemsky and B. Pire for useful conversations and O.V. Teryaev for discussions about the positivity constraints for non-forward distributions. A.B. is grateful to G.P. Korchemsky and D. Schiff for the hospitality at LPTHE (Orsay) and B. Pire at École Polytechnique. A.B. was supported by the Alexander von Humboldt Foundation and partially by Russian Foundation for Fundamental Research, grant N 96-02-17631.

PY - 1998/10/1

Y1 - 1998/10/1

N2 - We study the effects of next-to-leading order corrections on the evolution of the twist-two non-forward parton distribution functions in the flavour non-singlet sector. It is found that the deviation from leading order evolution is small for all values of the parton momentum fraction variable for moderately large values of the scale parameter.

AB - We study the effects of next-to-leading order corrections on the evolution of the twist-two non-forward parton distribution functions in the flavour non-singlet sector. It is found that the deviation from leading order evolution is small for all values of the parton momentum fraction variable for moderately large values of the scale parameter.

KW - Anomalous dimensions

KW - Conformal operators

KW - Evolution equations

KW - Non-forward distributions

UR - https://www.scopus.com/pages/publications/0346460731

UR - https://www.scopus.com/pages/publications/0346460731#tab=citedBy

U2 - 10.1016/S0370-2693(98)00874-0

DO - 10.1016/S0370-2693(98)00874-0

M3 - Article

SN - 0370-2693

VL - 437

SP - 160

EP - 168

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -

Two-loop effects in the evolution of non-forward distributions

Abstract

Keywords

ASJC Scopus subject areas

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