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

B\'alint Jo\'o; Boram Yoon; Frank Winter; Huey-Wen Lin; Rajan Gupta; Santanu Mondal; Sungwoo Park; Tanmoy Bhattacharya

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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

Santanu Mondal , Tanmoy Bhattacharya , Rajan Gupta , Bálint Joó , Huey-Wen Lin , Sungwoo Park , Frank Winter , Boram Yoon This is my paper · ORCID

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keywords momenttransversitycalculationsfractionhelicityisovectorjheplattice

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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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