Back
Parton distribution functions beyond leading twist from lattice QCD: The hL(x) case
Authors:
- Shohini Bhattacharya,
- Krzysztof Michał Cichy,
- Martha Constantinou,
- Andreas Metz,
- Aurora Scapellato,
- Fernanda Steffens
- Record ID
- UAMaa099b04f6e640218e83d0292fa7a264
- Author
- Journal series
- Physical Review D, ISSN 2470-0010, e-ISSN 2470-0029, [1538-4500, 1550-7998]
- Issue year
- 2021
- Vol
- 104
- No
- 11
- Article number
- 114510
- Keywords in original language
- Lattice QCD ; Lattice field theory ; Lattice gauge theory
- ASJC Classification
- Abstract in original language
- We report the first-ever calculation of the isovector flavor combination of the chiral-odd twist-3 parton distribution hL(x) for the proton from lattice QCD. We employ gauge configurations with two degenerate light, a strange and a charm quark (Nf=2+1+1) of maximally twisted mass fermions with a clover improvement. The lattice has a spatial extent of 3 fm and lattice spacing of 0.093 fm. The values of the quark masses lead to a pion mass of 260 MeV. We use a source-sink time separation of 1.12 fm to control contamination from excited states. Our calculation is based on the quasi-distribution approach, with three values for the proton momentum: 0.83, 1.25, and 1.67 GeV. The lattice data are renormalized nonperturbatively using the RI′ scheme, and the final result for hL(x) is presented in the ¯¯¯¯¯¯MS scheme at the scale of 2 GeV. Furthermore, we compute in the same setup the transversity distribution, h1(x), which allows us, in particular, to compare hL(x) to its Wandzura-Wilczek approximation. We also combine results for the isovector and isoscalar flavor combinations to disentangle the individual quark contributions for h1(x) and hL(x), and address the Wandzura-Wilczek approximation in that case as well.
- DOI
- DOI:10.1103/physrevd.104.114510 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 140
- Score source
- journalList
- Score
- = 140.0, 28-01-2022, ArticleFromJournal
- Publication indicators
- : 2017 = 1.058; : 2019 (2 years) = 4.833 - 2019 (5 years) =4.012
- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAMaa099b04f6e640218e83d0292fa7a264/
- URN
urn:amu-prod:UAMaa099b04f6e640218e83d0292fa7a264
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.