Deep-inelastic scattering and the operator product expansion in lattice QCD

Abstract

We discuss the determination of deep-inelastic hadron structure in lattice QCD. By using a fictitious heavy quark, direct calculations of the Compton scattering tensor can be performed in Euclidean space that allow the extraction of the moments of structure functions. This overcomes issues of operator mixing and renormalisation that have so far prohibited lattice computations of higher moments. This approach is especially suitable for the study of the twist-two contributions to isovector quark distributions, which is practical with current computing resources. While we focus on the isovector unpolarised distribution, our method is equally applicable to other quark distributions and to generalised parton distributions. By looking at matrix elements such as $<{\pi }^{\pm }|T[V^{\mu }(x)A^{\nu }(0)]|0>$ (where $V^{\mu }$ and $A^{\nu }$ are vector and axial-vector heavy-light currents) within the same formalism, moments of meson distribution amplitudes can also be extracted.

10 pages, 5 figures, version accepted for publication

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• Twist-two matrix elements at finite and infinite volume
• Investigation of the Second Moment of the Nucleon's g1 and g2 Structure Functions in Two-Flavor Lattice QCD

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