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
TL;DR
This paper reports high-precision lattice QCD calculations of nucleon isovector moments related to momentum, helicity, and transversity distributions, analyzing systematic uncertainties and confirming consistency with global fits.
Contribution
It provides the first high-precision lattice QCD results for nucleon isovector moments using two different lattice setups, with detailed uncertainty analysis.
Findings
Results agree with global fit analyses
Consistent results across different lattice setups
Detailed assessment of excited state contributions
Abstract
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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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Nuclear physics research studies · Particle physics theoretical and experimental studies