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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

High Energy Physics - Phenomenology 2015-06-22 v1 High Energy Physics - Experiment High Energy Physics - Theory
Authors: J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider
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Abstract

The pure singlet asymptotic heavy flavor corrections to 3-loop order for the deep-inelastic scattering structure function F2(x,Q2)F_2(x,Q^2) and the corresponding transition matrix element AQq(3),PSA_{Qq}^{(3), \sf PS} in the variable flavor number scheme are computed. In Mellin-NN 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 F2(x,Q2)F_2(x,Q^2) are presented.

Keywords

deep-inelastic scattering heavy flavor corrections 3-loop order pure singlet anomalous dimension Wilson coefficients Mellin-$N$ space generalized harmonic sums

Cite

@article{arxiv.1409.1135,
  title  = {The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_2(x,Q^2)$ and the Anomalous Dimension},
  author = {J. Ablinger and A. Behring and J. Blümlein and A. De Freitas and A. von Manteuffel and C. Schneider},
  journal= {arXiv preprint arXiv:1409.1135},
  year   = {2015}
}

Comments

85 pages Latex, 14 Figures, 2 style files

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