Monte Carlo Solution to the Balitsky-Fadin-Kuraev-Lipatov Equation for Resummation in Perturbative QCD

Journal Article · Sun Jun 01 04:00:00 EDT 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.78.4531· OSTI ID:549309

Schmidt, C R ^[1]

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1. Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824 (United States)

A simple solution to the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation is obtained as a series in the number of real gluons emitted with transverse momentum greater than some small cutoff {mu}. This solution reveals physics inside the BFKL ladder which is hidden in the standard inclusive solution, and lends itself to a straightforward Monte Carlo implementation. With this approach one can explore new useful physical observables, which are shown to be independent of the cutoff {mu}. In addition, this approach allows the imposition of kinematic constraints (such as energy conservation) which are important at finite energies. The distribution of {Sigma}E{sub {perpendicular}} of particles in a central rapidity bin between two widely spaced jets is presented as an example. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 549309
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 24 Vol. 78; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DEEP INELASTIC SCATTERING
ENERGY CONSERVATION
EQUATIONS OF MOTION
GLUONS
MONTE CARLO METHOD
PARTICLE RAPIDITY
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
TRANSVERSE MOMENTUM