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Perturbative matching of continuum and lattice quasi-distributions

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arxiv 1802.02333 v1 pith:W2BHW5UY submitted 2018-02-07 hep-lat hep-phnucl-th

Perturbative matching of continuum and lattice quasi-distributions

classification hep-lat hep-phnucl-th
keywords latticematchingoperatorscontinuumnonlocaladdressedargumentbilinear
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Matching of the quasi parton distribution functions between continuum and lattice is addressed using lattice perturbation theory specifically with Wilson-type fermions. The matching is done for nonlocal quark bilinear operators with a straight Wilson line in a spatial direction. We also investigate operator mixing in the renormalization and possible O(a) operators for the nonlocal operators based on a symmetry argument on lattice.

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