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Next-to-leading order evolution of generalized parton distributions for DESY HERA and HERMES

Andreas K. Freund, Martin McDermott

Open publisher page 30 citations

Abstract

The QCD evolution of both unpolarized and polarized generalized parton distributions (GPDs) to next-to-leading order (NLO) accuracy is presented, in both the DGLAP and ERBL regions, for two appropriately symmetrized input distributions based on conventional parton density functions. To illustrate the relative size of the NLO corrections a comparison is made with leading order evolution of the same distributions. For the first time, NLO results are given for both small and large values of the skewedness parameter, $\ensuremath{\zeta}{=x}_{\mathrm{bj}},$ i.e., for all of the kinematic range relevant to DESY HERA and HERMES.

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What this paper is about

The QCD evolution of both unpolarized and polarized generalized parton distributions (GPDs) to next-to-leading order (NLO) accuracy is presented, in both the DGLAP and ERBL regions, for two appropriately symmetrized input distributions based on conventional parton density functions. To illustrate the relative size of the NLO corrections a comparison is made with leading order evolution of the same distributions. For the first time, NLO results are given for both small and large values of the skewedness parameter, $\ensuremath{\zeta}{=x}_{\mathrm{bj}},$ i.e., for all of the kinematic range relevant to DESY HERA and HERMES.

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Available abstract

The QCD evolution of both unpolarized and polarized generalized parton distributions (GPDs) to next-to-leading order (NLO) accuracy is presented, in both the DGLAP and ERBL regions, for two appropriately symmetrized input distributions based on conventional parton density functions. To illustrate the relative size of the NLO corrections a comparison is made with leading order evolution of the same distributions. For the first time, NLO results are given for both small and large values of the skewedness parameter, $\ensuremath{\zeta}{=x}_{\mathrm{bj}},$ i.e., for all of the kinematic range relevant to DESY HERA and HERMES.

Key concepts: DGLAP, DESY, HERA, Parton, Physics, Particle physics, Quantum chromodynamics, Order (exchange)

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