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Nucleon isovector momentum fraction, helicity and transversity moment using Lattice QCD

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arxiv 2201.00067 v1 pith:QALR5AKG submitted 2021-12-31 hep-lat

Nucleon isovector momentum fraction, helicity and transversity moment using Lattice QCD

Santanu Mondal , Tanmoy Bhattacharya , Rajan Gupta , B\'alint Jo\'o , Huey-Wen Lin , Sungwoo Park , Frank Winter , Boram Yoon This is my paper
classification hep-lat
keywords momenttransversitycalculationsfractionhelicityisovectorjheplattice
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present our recent high precision calculations (Phys. Rev. D102 (2020) no.5, 054512 and JHEP 04 (2021) 044, JHEP 21 (2020) 004) of the first moment of nucleon isovector polarized, unpolarized and transversity distributions, i.e., momentum fraction, helicity and transversity moment, respectively. We use the standard method for the calculation of these moments (via matrix elements of twist two operators), and carry out a detailed analysis of the sources of systematic uncertainty, in particular of excited state contributions. Our calculations have been performed using two different lattice setups (Clover-on-HISQ and Clover-on-Clover), each with several ensembles. They give consistent results that are in agreement with global fit analyses.

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  1. Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD

    hep-lat 2026-05 unverdicted novelty 7.0

    First lattice QCD calculation at the physical pion mass of the isovector third moments of nucleon unpolarized, polarized, and transversity PDFs via forward matrix elements of local operators.