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2001•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

Unintegrated parton distributions

M.A. Kimber, Alan D. Martin, M. G. Ryskin

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Abstract

We describe how to calculate the parton distributions ${f}_{a}{(x,k}_{t}^{2},{\ensuremath{\mu}}^{2}),$ unintegrated over the parton transverse momentum ${k}_{t},$ from auxiliary functions ${h}_{a}{(x,k}_{t}^{2}),$ which satisfy single-scale evolution equations. The formalism embodies both DGLAP and BFKL contributions, and accounts for the angular ordering which comes from coherence effects in gluon emission. We check that the unintegrated distributions give the measured values of the deep inelastic structure function ${F}_{2}{(x,Q}^{2}).$

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What this paper is about

We describe how to calculate the parton distributions ${f}_{a}{(x,k}_{t}^{2},{\ensuremath{\mu}}^{2}),$ unintegrated over the parton transverse momentum ${k}_{t},$ from auxiliary functions ${h}_{a}{(x,k}_{t}^{2}),$ which satisfy single-scale evolution equations. The formalism embodies both DGLAP and BFKL contributions, and accounts for the angular ordering which comes from coherence effects in gluon emission. We check that the unintegrated distributions give the measured values of the deep inelastic structure function ${F}_{2}{(x,Q}^{2}).$

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Available abstract

We describe how to calculate the parton distributions ${f}_{a}{(x,k}_{t}^{2},{\ensuremath{\mu}}^{2}),$ unintegrated over the parton transverse momentum ${k}_{t},$ from auxiliary functions ${h}_{a}{(x,k}_{t}^{2}),$ which satisfy single-scale evolution equations. The formalism embodies both DGLAP and BFKL contributions, and accounts for the angular ordering which comes from coherence effects in gluon emission. We check that the unintegrated distributions give the measured values of the deep inelastic structure function ${F}_{2}{(x,Q}^{2}).$

Key concepts: DGLAP, Parton, Physics, Formalism (music), Gluon, Particle physics, Structure function, Deep inelastic scattering

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