Quasi parton distribution functions at NNLO: flavor non-diagonal quark contributions

Abstract

We present a next-to-next-to-leading order (NNLO) calculation of the quasi parton distribution functions (Quasi-PDFs) in the large momentum effective theory (LaMET). We focus on the flavor non-diagonal quark-quark channel and demonstrate the LaMET factorization at the NNLO accuracy in the modified minimal subtraction scheme. The matching coefficient between the quasi-PDF and the light-cone PDF is derived. This provides a first step towards a complete NNLO analysis of quasi-PDFs and to better understand the nucleon structures from the first principle of QCD.

10 pages, 3 figures; v2: accepted for publication in Physical Review D as a rapid communication

References in corpus (2)

• FIRE5: a C++ implementation of Feynman Integral REduction
• On the Renormalizability of Quasi Parton Distribution Functions

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• One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme
• Renormalon effect of quasi-PDF in gradient flow formalism
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