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Observable jets from the BFKL chain

J. Kwiecinski, C. A. M. Lewis, A. D. Martin

TL;DR

A modified form of the BFKL equation is derived which enables the structure of the gluon emissions to be studied in small deep-inelastic scattering and the jet decomposition for different choices of the jet resolution parameter {mu}.

Abstract

We derive a modified form of the BFKL equation which enables the structure of the gluon emissions to be studied in small $x$ deep inelastic scattering. The equation incorporates the resummation of the virtual and unresolved real gluon emissions. We solve the equation to calculate the number of small $x$ deep-inelastic events containing 0,1,2 ...resolved gluon jets, that is jets with transverse momenta $q_{T} > μ$. We study the jet decomposition for different choices of the jet resolution parameter $μ$.

Observable jets from the BFKL chain

TL;DR

A modified form of the BFKL equation is derived which enables the structure of the gluon emissions to be studied in small deep-inelastic scattering and the jet decomposition for different choices of the jet resolution parameter {mu}.

Abstract

We derive a modified form of the BFKL equation which enables the structure of the gluon emissions to be studied in small deep inelastic scattering. The equation incorporates the resummation of the virtual and unresolved real gluon emissions. We solve the equation to calculate the number of small deep-inelastic events containing 0,1,2 ...resolved gluon jets, that is jets with transverse momenta . We study the jet decomposition for different choices of the jet resolution parameter .

Paper Structure

This paper contains 49 equations.