Higher-order Contributions to QCD Amplitudes in Regge Kinematics (Mini-review)

V. S. Fadin

doi:10.1134/S0021364020010026

Higher-order Contributions to QCD Amplitudes in Regge Kinematics (Mini-review)

Research output: Contribution to journal › Review article › peer-review

Abstract

The famous Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation was derived using the hypothesis that amplitudes of non-abelian gauge theories with adjoint representation of the gauge group in cross-channels are given by the Reggeized gauge boson contributions. The hypothesis is true in the leading logarithmic approximation, wherein the equation was originally derived, and in the next-to-leading one. But in the next-to-next-to-leading logarithmic approximation this is not so, since in this approximation the Regge cuts begin to contribute. Calculations of their contributions to elastic scattering amplitudes in Quantum Chromodynamics and their role in derivation of the BFKL equation are discussed.

Original language	English
Pages (from-to)	1-7
Number of pages	7
Journal	JETP Letters
Volume	111
Issue number	1
DOIs	https://doi.org/10.1134/S0021364020010026
Publication status	Published - 1 Jan 2020

Keywords

POMERANCHUK SINGULARITY
GAUGE
REGGEIZATION

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10.1134/S0021364020010026

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abstract = "The famous Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation was derived using the hypothesis that amplitudes of non-abelian gauge theories with adjoint representation of the gauge group in cross-channels are given by the Reggeized gauge boson contributions. The hypothesis is true in the leading logarithmic approximation, wherein the equation was originally derived, and in the next-to-leading one. But in the next-to-next-to-leading logarithmic approximation this is not so, since in this approximation the Regge cuts begin to contribute. Calculations of their contributions to elastic scattering amplitudes in Quantum Chromodynamics and their role in derivation of the BFKL equation are discussed.",

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AU - Fadin, V. S.

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N2 - The famous Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation was derived using the hypothesis that amplitudes of non-abelian gauge theories with adjoint representation of the gauge group in cross-channels are given by the Reggeized gauge boson contributions. The hypothesis is true in the leading logarithmic approximation, wherein the equation was originally derived, and in the next-to-leading one. But in the next-to-next-to-leading logarithmic approximation this is not so, since in this approximation the Regge cuts begin to contribute. Calculations of their contributions to elastic scattering amplitudes in Quantum Chromodynamics and their role in derivation of the BFKL equation are discussed.

AB - The famous Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation was derived using the hypothesis that amplitudes of non-abelian gauge theories with adjoint representation of the gauge group in cross-channels are given by the Reggeized gauge boson contributions. The hypothesis is true in the leading logarithmic approximation, wherein the equation was originally derived, and in the next-to-leading one. But in the next-to-next-to-leading logarithmic approximation this is not so, since in this approximation the Regge cuts begin to contribute. Calculations of their contributions to elastic scattering amplitudes in Quantum Chromodynamics and their role in derivation of the BFKL equation are discussed.

KW - POMERANCHUK SINGULARITY

KW - GAUGE

KW - REGGEIZATION

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M3 - Review article

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SP - 1

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JO - JETP Letters

JF - JETP Letters

SN - 0021-3640

IS - 1

ER -

Higher-order Contributions to QCD Amplitudes in Regge Kinematics (Mini-review)

Abstract

Keywords

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