Heavy flavour corrections to polarised and unpolarised deep-inelastic scattering at 3-loop order

Jakob Ablinger; Arnd Behring; Johannes Blümlein; Abilio De Freitas; Alexander Hasselhuhn; Andreas von Manteuffel; Mark Round; Carsten Schneider; Fabian Wißbrock

arXiv · 1611.01104

Heavy flavour corrections to polarised and unpolarised deep-inelastic scattering at 3-loop order

Jakob Ablinger·Arnd Behring·Johannes Blümlein·Abilio De Freitas·Alexander Hasselhuhn·Andreas von Manteuffel·Mark Round·Carsten Schneider·Fabian Wißbrock

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Abstract

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.

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Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Mark Round, Carsten Schneider, Fabian Wißbrock. 2016-11-03. Heavy flavour corrections to polarised and unpolarised deep-inelastic scattering at 3-loop order. https://arxiv.org/abs/1611.01104

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