Solving the BFKL equation with running coupling

J. R. Forshaw; D. A. Ross; A. Sabio Vera

doi:10.1016/S0370-2693(00)01386-1

Solving the BFKL equation with running coupling

J. R. Forshaw, D. A. Ross, A. Sabio Vera

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

Abstract

We describe a formalism for solving the BFKL equation with a coupling that runs for momenta above a certain infrared cutoff. By suitably choosing matching conditions proper account is taken of the fact that the BFKL diffusion implies that the solution in the infrared (fixed coupling) regime depends upon the solution in the ultraviolet (running coupling) regime and vice versa. Expanding the BFKL kernel to a given order in the ratio of the transverse momenta allows arbitrary accuracy to be achieved. © 2001 Published by Elsevier Science B.V.

Original language	English
Pages (from-to)	149-155
Number of pages	6
Journal	Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	498
Issue number	3-4
DOIs	https://doi.org/10.1016/S0370-2693(00)01386-1
Publication status	Published - 25 Jan 2001

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T1 - Solving the BFKL equation with running coupling

AU - Forshaw, J. R.

AU - Ross, D. A.

AU - Sabio Vera, A.

PY - 2001/1/25

Y1 - 2001/1/25

N2 - We describe a formalism for solving the BFKL equation with a coupling that runs for momenta above a certain infrared cutoff. By suitably choosing matching conditions proper account is taken of the fact that the BFKL diffusion implies that the solution in the infrared (fixed coupling) regime depends upon the solution in the ultraviolet (running coupling) regime and vice versa. Expanding the BFKL kernel to a given order in the ratio of the transverse momenta allows arbitrary accuracy to be achieved. © 2001 Published by Elsevier Science B.V.

AB - We describe a formalism for solving the BFKL equation with a coupling that runs for momenta above a certain infrared cutoff. By suitably choosing matching conditions proper account is taken of the fact that the BFKL diffusion implies that the solution in the infrared (fixed coupling) regime depends upon the solution in the ultraviolet (running coupling) regime and vice versa. Expanding the BFKL kernel to a given order in the ratio of the transverse momenta allows arbitrary accuracy to be achieved. © 2001 Published by Elsevier Science B.V.

U2 - 10.1016/S0370-2693(00)01386-1

DO - 10.1016/S0370-2693(00)01386-1

M3 - Article

SN - 0370-2693

VL - 498

SP - 149

EP - 155

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 - 3-4

ER -

Solving the BFKL equation with running coupling

Abstract

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