PoS - Proceedings of Science
Volume 284 - QCD Evolution 2016 (QCDEV2016) - Friday, June 03, 2016 - Afternoon 1
Heavy flavour corrections to polarised and unpolarised deep-inelastic scattering at 3-loop order
J. Ablinger, A. Behring*, J. Bluemlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, M. Round, C. Schneider and F. Wißbrock
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Pre-published on: February 10, 2017
Published on: March 28, 2017
We report on progress in the calculation of 3-loop corrections to the deep-inelastic structure functions from massive quarks in the asymptotic region of large momentum transfer $Q^2$. Recently completed results allow us to obtain the $O(a_s^3)$ contributions to several heavy flavour Wilson coefficients which enter both polarised and unpolarised structure functions for lepton-nucleon scattering. In particular, we obtain the non-singlet contributions to the unpolarised structure functions $F_2(x,Q^2)$ and $x F_3(x,Q^2)$ and the polarised structure function $g_1(x,Q^2)$. From these results we also obtain the heavy flavour contributions to the Gross-Llewellyn-Smith and the Bjorken sum rules.
DOI: https://doi.org/10.22323/1.284.0052
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