BFKL next-to-next-to-leading order

Simone Marzani; Richard D. Ball; Pietro Falgari; Stefano Forte

doi:10.1016/j.nuclphysb.2007.05.024

BFKL next-to-next-to-leading order

Simone Marzani, Richard D. Ball, Pietro Falgari, Stefano Forte

School of Physics and Astronomy

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

Abstract

We determine an approximate expression for the O(alpha_s^3) contribution chi_2 to the kernel of the BFKL equation, which includes all collinear and anticollinear singular contributions. This is derived using recent results on the relation between the GLAP and BFKL kernels (including running-coupling effects to all orders) and on small-x factorization schemes. We present the result in various schemes, relevant both for applications to the BFKL equation and to small-x evolution of parton distributions.

Original language	English
Pages (from-to)	143-175
Number of pages	33
Journal	Nuclear physics b
Volume	783
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysb.2007.05.024
Publication status	Published - 29 Oct 2007

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title = "BFKL next-to-next-to-leading order",

abstract = "We determine an approximate expression for the O(alpha_s^3) contribution chi_2 to the kernel of the BFKL equation, which includes all collinear and anticollinear singular contributions. This is derived using recent results on the relation between the GLAP and BFKL kernels (including running-coupling effects to all orders) and on small-x factorization schemes. We present the result in various schemes, relevant both for applications to the BFKL equation and to small-x evolution of parton distributions.",

author = "Simone Marzani and Ball, {Richard D.} and Pietro Falgari and Stefano Forte",

note = "34 pages, 6 figures, TeX with harvmac. Various small typos corrects, in particular first term in eq D.3. Final version to be published in Nucl. Phys. B",

year = "2007",

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day = "29",

doi = "10.1016/j.nuclphysb.2007.05.024",

language = "English",

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pages = "143--175",

journal = "Nuclear physics b",

issn = "0550-3213",

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T1 - BFKL next-to-next-to-leading order

AU - Marzani, Simone

AU - Ball, Richard D.

AU - Falgari, Pietro

AU - Forte, Stefano

N1 - 34 pages, 6 figures, TeX with harvmac. Various small typos corrects, in particular first term in eq D.3. Final version to be published in Nucl. Phys. B

PY - 2007/10/29

Y1 - 2007/10/29

N2 - We determine an approximate expression for the O(alpha_s^3) contribution chi_2 to the kernel of the BFKL equation, which includes all collinear and anticollinear singular contributions. This is derived using recent results on the relation between the GLAP and BFKL kernels (including running-coupling effects to all orders) and on small-x factorization schemes. We present the result in various schemes, relevant both for applications to the BFKL equation and to small-x evolution of parton distributions.

AB - We determine an approximate expression for the O(alpha_s^3) contribution chi_2 to the kernel of the BFKL equation, which includes all collinear and anticollinear singular contributions. This is derived using recent results on the relation between the GLAP and BFKL kernels (including running-coupling effects to all orders) and on small-x factorization schemes. We present the result in various schemes, relevant both for applications to the BFKL equation and to small-x evolution of parton distributions.

U2 - 10.1016/j.nuclphysb.2007.05.024

DO - 10.1016/j.nuclphysb.2007.05.024

M3 - Article

VL - 783

SP - 143

EP - 175

JO - Nuclear physics b

JF - Nuclear physics b

SN - 0550-3213

IS - 1-2

ER -

BFKL next-to-next-to-leading order

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