By Sebastian Klein
The construction of heavy quarks in high-energy experiments bargains a wealthy box to review, either experimentally and theoretically. as a result of the extra quark mass, the outline of those procedures within the framework of perturbative QCD is way extra not easy than it's for these concerning in simple terms massless partons. within the final 20 years, a large number of precision facts has been amassed via the deep inelastic HERA scan. so that it will make complete use of those facts, a extra targeted theoretical description of appeal quark creation in deep inelastic scattering is required. This paintings bargains with the 1st calculation of mounted moments of the NNLO heavy taste corrections to the proton constitution functionality F2 in the restrict of a small charm-quark mass. the right kind therapy of those phrases will enable not just a extra specific research of the HERA facts, yet ranging from there additionally a extra specific choice of the parton distribution features and the powerful coupling consistent, that is an important enter for LHC physics.
The complexity of this calculation calls for the applying and improvement of technical and mathematical equipment, that are additionally defined the following in detail.
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Additional info for Charm Production in Deep Inelastic Scattering: Mellin Moments of Heavy Flavor Contributions to F2(x,Q^2) at NNLO
Here τ is the partonic scaling variable defined in Eq. 38. The LCE of the electromagnetic current does not change and the replacement only affects the operator matrix elements. The forward Compton amplitude for photon–quark i (q, p) can be calculated order by order in (gluon) scattering corresponding to Wμν perturbation theory, provided the scale Q 2 is large enough for the strong coupling constant to be small. In the same manner, the contributing operator matrix elements with external partons may be evaluated.
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