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Progress in computing parton distribution functions from the quasi-PDF approach

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arxiv 1709.07513 v1 pith:JZS76OAN submitted 2017-09-21 hep-lat hep-ph

Progress in computing parton distribution functions from the quasi-PDF approach

Constantia Alexandrou , Krzysztof Cichy , Martha Constantinou , Kyriakos Hadjiyiannakou , Karl Jansen , Haralambos Panagopoulos , Aurora Scapellato , Fernanda Steffens This is my paper
classification hep-lat hep-ph
keywords functionsapproachdiscussdistributionelementsmatrixpartonquasi-pdf
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We discuss the current developments by the European Twisted Mass Collaboration in extracting parton distribution functions from the quasi-PDF approach. We concentrate on the non-perturbative renormalization prescription recently developed by us, using the RI$'$ scheme. We show results for the renormalization functions of matrix elements needed for the computation of quasi-PDFs, including the conversion to the $\overline{\rm MS}$ scheme, and for renormalized matrix elements. We discuss the systematic effects present in the $Z$-factors and the possible ways of addressing them in the future.

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