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The 3-loop pure singlet heavy flavor contributions to the structure function \(F_2(x, Q^2)\) and the anomalous dimension. (English) Zbl 1326.81234
Summary: The pure singlet asymptotic heavy flavor corrections to 3-loop order for the deep-inelastic scattering structure function \(F_2(x, Q^2)\) and the corresponding transition matrix element \(A_{Q q}^{(3), \mathrm{PS}}\) in the variable flavor number scheme are computed. In Mellin-\(N\) space these inclusive quantities depend on generalized harmonic sums. We also recalculate the complete 3-loop pure singlet anomalous dimension for the first time. Numerical results for the Wilson coefficients, the operator matrix element and the contribution to the structure function \(F_2(x, Q^2)\) are presented.

MSC:
81U35 Inelastic and multichannel quantum scattering
81V22 Unified quantum theories
81T18 Feynman diagrams
81T50 Anomalies in quantum field theory
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