Abstract
We complete the perturbative next-to-leading order corrections to the hard scattering amplitudes of deeply virtual meson leptoproduction processes at leading twist-two level by presenting the results for the production of flavor singlet pseudoscalar mesons. The new results are given in the common momentum fraction representation and in terms of conformal moments. We also comment on the flavor singlet results for deeply virtual vector meson production.
Highlights
We complete the perturbative next-to-leading order corrections to the hard scattering amplitudes of deeply virtual meson leptoproduction processes at leading twist-two level by presenting the results for the production of flavor singlet pseudoscalar mesons
The phenomenological goal of such measurements is to access generalized parton distributions (GPDs) [1,2,3], which encode partonic information that are complementary to parton distribution functions or hadronic distribution amplitudes, see, e.g., Refs. [4,5]
To utilize the factorization theorem [6], it is required to address the longitudinally polarized differential cross section [7,8,9], e.g., in the notation of Ref. [10] it is given as transition form factors (TFFs) that appear in a form factor decomposition of the amplitude
Summary
Next-to-leading order corrections to deeply virtual production of pseudoscalar mesons. We complete the perturbative next-to-leading order corrections to the hard scattering amplitudes of deeply virtual meson leptoproduction processes at leading twist-two level by presenting the results for the production of flavor singlet pseudoscalar mesons. These process independent (universal) quantities are related to observables by convolution formulae where the hard-scattering amplitude is perturbatively calculable in leading twist-two approximation Examples of such observables are the transverse cross section of deeply virtual Compton scattering (DVCS) and the longitudinal cross sections for the deeply virtual meson production (DVMP) of pseudo scalar and longitudinally polarized vector mesons. DVMP for flavor non-singlet pseudo-scalar mesons and longitudinally polarized vector mesons were already worked out at next-to-leading order (NLO) level in Refs. F q(−) ( y, ξ, t, μ2) for F ∈ {H, E}
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