Publications
Publication Information
| Title | Nucleon momentum fraction, helicity and transversity from 2+1-flavor lattice QCD |
| Authors | Santanu Mondal, Rajan Gupta, Sungwoo Park, Boram Yoon, Tanmoy Bhattacharya, Balint Joo, Frank Winter |
| JLAB number | JLAB-THY-21-3361 |
| LANL number | arXiv:2011.12787 |
| Other number | DOE/OR/23177-5180 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Journal Compiled for Journal of High Energy Physics Volume 2021 Page(s) 44 Refereed | |
| Publication Abstract: | High statistics results for the isovector momentum fraction, $\langle x \rangle_{u-d}$, helicity moment, $\langle x \rangle_{\Delta u-\Delta d}$, and the transversity moment, $\langle x\rangle_{\delta u-\delta d}$, of the nucleon are presented using seven ensembles of gauge configurations generated by the JLab/W&M/LANL/MIT collaborations using $2+1$-flavors of dynamical Wilson-clover quarks. Attention is given to understanding and controlling the contributions of excited states. The final results are obtained using a simultaneous fit in the lattice spacing $a$, pion mass $M_\pi$ and the finite volume parameter $M_\pi L$ keeping leading order corrections. The data show no significant dependence on the lattice spacing and some evidence for finite-volume corrections. The main variation is with $M_\pi$, whose magnitude depends on the mass gap of the first excited state used in the analysis. Our final results, in the $\overline{\rm MS}$ scheme at 2 GeV, are $\langle x \rangle_{u-d} = 0.160(16)(20)$, $\langle x \rangle_{\Delta u-\Delta d} = 0.192(13)(20)$ and $\langle x \rangle_{\delta u-\delta d} = 0.215(17)(20)$, where the first error is the overall analysis uncertainty assuming excited-state contributions have been removed, and the second is an additional systematic uncertainty due to possible residual excited-state contributions. These results are consistent with other recent lattice calculations and phenomenological global fit values. |
| Experiment Numbers: | |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1007/JHEP04(2021)044 |
| Accepted Manuscript: | Mondal2021_Article_NucleonMomentumFractionHelicit(1).pdf |
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| Supporting Datasets: | |