Further analysis of the BFKL equation with momentum cutoffs

M. F. McDermotta; J. R. Forshaw

Further analysis of the BFKL equation with momentum cutoffs

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Abstract

In this paper we investigate the effect of introducing transverse momentum cutoffs on the BFKL equation. We present solutions in moment space for various models of the BFKL kernel for different combinations of these cutoffs. We improve on previous calculations by using the full BFKL kernel (rather than simplified analytic approximations). The significance of the next-to-leading or "higher twist" terms in the kernel are assessed. We find that, while these terms are negligible in the absence of cutoffs, introducing an infrared (IR) cutoff markedly enhances their significance.

Original language	English
Pages (from-to)	283-302
Number of pages	19
Journal	NUCLEAR PHYSICS B
Volume	484
Issue number	1-2
Publication status	Published - 20 Jan 1997

Keywords

BFKL
Higher twist
Momentum cutoffs
Small x

Cite this

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title = "Further analysis of the BFKL equation with momentum cutoffs",

abstract = "In this paper we investigate the effect of introducing transverse momentum cutoffs on the BFKL equation. We present solutions in moment space for various models of the BFKL kernel for different combinations of these cutoffs. We improve on previous calculations by using the full BFKL kernel (rather than simplified analytic approximations). The significance of the next-to-leading or {"}higher twist{"} terms in the kernel are assessed. We find that, while these terms are negligible in the absence of cutoffs, introducing an infrared (IR) cutoff markedly enhances their significance.",

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T1 - Further analysis of the BFKL equation with momentum cutoffs

AU - McDermotta, M. F.

AU - Forshaw, J. R.

PY - 1997/1/20

Y1 - 1997/1/20

N2 - In this paper we investigate the effect of introducing transverse momentum cutoffs on the BFKL equation. We present solutions in moment space for various models of the BFKL kernel for different combinations of these cutoffs. We improve on previous calculations by using the full BFKL kernel (rather than simplified analytic approximations). The significance of the next-to-leading or "higher twist" terms in the kernel are assessed. We find that, while these terms are negligible in the absence of cutoffs, introducing an infrared (IR) cutoff markedly enhances their significance.

AB - In this paper we investigate the effect of introducing transverse momentum cutoffs on the BFKL equation. We present solutions in moment space for various models of the BFKL kernel for different combinations of these cutoffs. We improve on previous calculations by using the full BFKL kernel (rather than simplified analytic approximations). The significance of the next-to-leading or "higher twist" terms in the kernel are assessed. We find that, while these terms are negligible in the absence of cutoffs, introducing an infrared (IR) cutoff markedly enhances their significance.

KW - BFKL

KW - Higher twist

KW - Momentum cutoffs

KW - Small x

M3 - Article

SN - 0550-3213

VL - 484

SP - 283

EP - 302

JO - NUCLEAR PHYSICS B

JF - NUCLEAR PHYSICS B

IS - 1-2

ER -

Further analysis of the BFKL equation with momentum cutoffs

Abstract

Keywords

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