Extending the QCD leading logs up to reggeon field theory

L. V. Gribov; E. M. Levin; M. G. Ryskin

doi:10.1016/0370-2693(81)90669-9

Extending the QCD leading logs up to reggeon field theory

L. V. Gribov^*, E. M. Levin, M. G. Ryskin

^*Corresponding author for this work

RAS - Saint Petersburg Nuclear Physics Institute

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

5 Scopus citations

Abstract

The deep inelastic structure function D(ω, q²) is calculated in the leading log approximation for ( Nβ₂ π²)α²_S (q₀²) 1n ω < 0.84 1n( 1 α_S(q²)). For larger ω up to ( Nβ₂ π²)α_²S) 1n ω < 0.42 α_²S (q₀²) α²_S(q²) the influence of reggeon cuts proves to slow down the growth of the structure function. A reggeon diagram technique is developed, and D is calculated up to a pre-exponent O(1), leading to D(ω, q²) ∝ q² for ( Nβ₂ π²)α²_S(q²₀) 1n ω ≅ 0.42 α ²_S(q₀²) α_S²(q²). By assuming the reggeon diagrams when ω is still greater, one can expect to obtain a strong coupling behaviour: D(ω, q²) ∝ q²(ln ω)^η (η <2).

Original language	English
Pages (from-to)	185-189
Number of pages	5
Journal	Physics Letters B
Volume	101
Issue number	3
DOIs	https://doi.org/10.1016/0370-2693(81)90669-9
State	Published - 7 May 1981
Externally published	Yes

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@article{52dc0534e1c74afb96c423a2084bf6ec,

title = "Extending the QCD leading logs up to reggeon field theory",

abstract = "The deep inelastic structure function D(ω, q2) is calculated in the leading log approximation for ( Nβ2 π2)α2S (q02) 1n ω < 0.84 1n( 1 αS(q2)). For larger ω up to ( Nβ2 π2)α2S) 1n ω < 0.42 α2S (q02) α2S(q2) the influence of reggeon cuts proves to slow down the growth of the structure function. A reggeon diagram technique is developed, and D is calculated up to a pre-exponent O(1), leading to D(ω, q2) ∝ q2 for ( Nβ2 π2)α2S(q2 0) 1n ω ≅ 0.42 α 2S(q02) αS2(q2). By assuming the reggeon diagrams when ω is still greater, one can expect to obtain a strong coupling behaviour: D(ω, q2) ∝ q2(ln ω)η (η <2).",

author = "Gribov, {L. V.} and Levin, {E. M.} and Ryskin, {M. G.}",

year = "1981",

month = may,

day = "7",

doi = "10.1016/0370-2693(81)90669-9",

language = "אנגלית",

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journal = "Physics Letters B",

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TY - JOUR

T1 - Extending the QCD leading logs up to reggeon field theory

AU - Gribov, L. V.

AU - Levin, E. M.

AU - Ryskin, M. G.

PY - 1981/5/7

Y1 - 1981/5/7

N2 - The deep inelastic structure function D(ω, q2) is calculated in the leading log approximation for ( Nβ2 π2)α2S (q02) 1n ω < 0.84 1n( 1 αS(q2)). For larger ω up to ( Nβ2 π2)α2S) 1n ω < 0.42 α2S (q02) α2S(q2) the influence of reggeon cuts proves to slow down the growth of the structure function. A reggeon diagram technique is developed, and D is calculated up to a pre-exponent O(1), leading to D(ω, q2) ∝ q2 for ( Nβ2 π2)α2S(q2 0) 1n ω ≅ 0.42 α 2S(q02) αS2(q2). By assuming the reggeon diagrams when ω is still greater, one can expect to obtain a strong coupling behaviour: D(ω, q2) ∝ q2(ln ω)η (η <2).

AB - The deep inelastic structure function D(ω, q2) is calculated in the leading log approximation for ( Nβ2 π2)α2S (q02) 1n ω < 0.84 1n( 1 αS(q2)). For larger ω up to ( Nβ2 π2)α2S) 1n ω < 0.42 α2S (q02) α2S(q2) the influence of reggeon cuts proves to slow down the growth of the structure function. A reggeon diagram technique is developed, and D is calculated up to a pre-exponent O(1), leading to D(ω, q2) ∝ q2 for ( Nβ2 π2)α2S(q2 0) 1n ω ≅ 0.42 α 2S(q02) αS2(q2). By assuming the reggeon diagrams when ω is still greater, one can expect to obtain a strong coupling behaviour: D(ω, q2) ∝ q2(ln ω)η (η <2).

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Extending the QCD leading logs up to reggeon field theory

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