Speaker
Christian Zimmermann
Description
We calculate Euclidean hadronic matrix elements of two spatially separated local quark currents in position space, in order to determine the $x$ dependence of parton distribution functions (PDFs). This approach is often referred to by the term lattice cross section (LCS). We extend previous works on that topic by considering valence quark PDFs of the proton and adapt the formalism to our choice of operators. The calculation of the required four-point functions is carried out on a $n_f = 2+1$ gauge ensemble with lattice spacing $a = 0.0856~/mathrm{fm}$ and pseudoscalar masses $m_\pi = 355~\mathrm{MeV}$ and $m_K = 441~\mathrm{MeV}$.
Authors
Christian Zimmermann
Christian Zimmermann