Abstract
Nucleon-structure calculations of isovector vector-and axialvector-current form factors, transversity and scalar charge, and quark momentum and helicity fractions are reported from two recent 2+1-flavor dynamical domain-wall fermions lattice-QCD ensembles generated jointly by the RIKEN-BNL-Columbia and UKQCD Collaborations with Iwasaki × dislocation-suppressing-determinatn-ratio gauge action at inverse lattice spacing of 1.378(7) GeV and pion mass values of 249.4(3) and 172.3(3) MeV.
Highlights
The RIKEN-BNL-Columbia (RBC) collaboration have been investigating nucleon structure using the domain-wall fermions (DWF) quarks on a sequence of quenched [1, 2] and 2- [3] and 2+1-flavor [4,5,6] dynamical DWF ensembles at various mass values [7,8,9,10,11,12]
The DWF scheme allows to maintain continuum-like flavor and chiral symmetries on the lattice, and helps to simplify non-perturbative renormalizations [13,14,15,16]
In our earlier works calculated with degenerate up- and down-quark mass set at considerably heavier than physical values [4,5,6], we observed the vector-current form factors behaving reasonably well in trending toward experiments: both Dirac and Pauli mean-squared charge radii and the isovector anomalous magnetic moment appeared to linearly depend on the pion mass squared
Summary
The RIKEN-BNL-Columbia (RBC) collaboration have been investigating nucleon structure using the domain-wall fermions (DWF) quarks on a sequence of quenched [1, 2] and 2- [3] and 2+1-flavor [4,5,6] dynamical DWF ensembles at various mass values [7,8,9,10,11,12]. Transversity and “scalar charge” are relevant in search for new physics beyond the standard model such as neutron electric dipole moment [18, 21] In this talk we report nucleon isovector form factors of the vector and axialvector currents and two lowest moments of isovector structure functions, namely quark momentum, x u−d, and helicity, x ∆u−∆d, fractions, and isovector transversity, 1 δu−δd, and isovector “scalar charge,” guS−d, calculated using two recent 2+1-flavor dynamical DWF lattice-QCD ensembles generated jointly by the RBC and UKQCD Collaborations with Iwasaki × dislocation-suppressing-determinatn-ratio (DSDR) gauge action on 323 ×64 four-dimensional volume. In addition the LHP collaboration calculated some nucleon structure [27] using a RBC+UKQCD 2+1-flavor dyamical DWF ensemble [9]
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