51. Moments of nucleon isovector structure functions in 2+1+1-flavor QCD.
- Author
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Mondal, Santanu, Gupta, Rajan, Sungwoo Park, Yoon, Boram, Bhattacharya, Tanmoy, and Huey-Wen Lin
- Subjects
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PARTICLES (Nuclear physics) , *QUARKS , *UNCERTAINTY , *GAGING , *FRACTIONS , *QUARK models - Abstract
We present results on the isovector momentum fraction, ⟨x⟩u-d, helicity moment, ⟨x⟩Δu-Δd, and the transversity moment, ⟨x⟩δu-δd, of the nucleon obtained using nine ensembles of gauge configurations generated by the MILC Collaboration using 2+1+1-flavors of dynamical highly improved staggered quarks. The correlation functions are calculated using the Wilson-Clover action, and the renormalization of the three operators is carried out nonperturbatively on the lattice in the RI′-MOM scheme. The data have been collected at lattice spacings a≈0.15, 0.12, 0.09, and 0.06 fm and Mπ≈310, 220, and 135 MeV, which are used to obtain the physical values using a simultaneous chiral-continuum-finite-volume fit. The final results, in the MS scheme at 2 GeV, are ⟨x⟩u-d=0.173(14)(07), ⟨x⟩Δu-Δd=0.213(15)(22), and ⟨x⟩δu-δd=0.208(19)(24), where the first error is the overall analysis uncertainty 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. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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