Parton distribution function with nonperturbative renormalization from lattice QCD

2018
We present lattice results for the isovectorunpolarized partondistribution with nonperturbative regularization-invariant momentum-subtraction scheme (RI/MOM) renormalizationon the lattice. In the framework of large- momentum effective field theory(LaMET), the full Bjorken-x dependence of a momentum-dependent quasidistribution is calculated on the lattice and matched to the ordinary light cone partondistribution at one-loop order, with power corrections included. The important step of RI/MOM renormalizationthat connects the lattice and continuum matrix elements is detailed in this paper. A few consequences of the results are also addressed here.
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