Lattice QCD Determination of the Bjorken- Dependence of Parton Distribution Functions at Next-to-next-to-leading Order
arXiv:2112.02208 · doi:10.1103/PhysRevLett.128.142003
Abstract
We report the first lattice QCD calculation of pion valence quark distribution with next-to-next-to-leading order perturbative matching correction, which is done using two fine lattices with spacings fm and fm and valence pion mass MeV, at boost momentum as large as GeV. As a crucial step to control the systematics, we renormalize the pion valence quasi distribution in the recently proposed hybrid scheme, which features a Wilson-line mass subtraction at large distances in coordinate space, and develop a procedure to match it to the scheme. We demonstrate that the renormalization and the perturbative matching in Bjorken- space yield a reliable determination of the valence quark distribution for with 5-20\% uncertainties.
4 pages, 4 figures and appendix
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