Abstract
In this work we present the isovector flavor combination for the nucleon tensor charge extracted from lattice QCD simulations using overlap fermions on $N_f=2+1$ domain-wall configurations. The pion mass dependence is studied using six valence quark masses, each reproducing a value for the pion mass in the valence sector between 147 and 330 MeV. We investigate and eliminate systematic uncertainties due to contamination by excited states, by employing several values for the source-sink separation that span from 1 fm to 1.6 fm. We apply a chiral extrapolation in the valence sector using a quadratic and a logarithmic term to fit the pion mass dependence, which describes well the lattice data. The lattice matrix element is renormalized non-perturbatively, and the final result is $g_T=1.096(30)$ in the $\overline{\rm MS}$ scheme at a renormalization scale of 2 GeV.
Highlights
Parton distribution functions (PDFs) are important tools to understand the structure of hadrons and have played an important role in establishing QCD as the theory of the strong interaction
We have presented a lattice calculation of the nucleon tensor charge using a mixed setup of chiral fermions, that is, overlap fermions on Nf 1⁄4 2 þ 1 domain-wall configurations
Besides the tensor charge’s significance in hadronic physics, it is related to physics beyond the Standard Model
Summary
Parton distribution functions (PDFs) are important tools to understand the structure of hadrons and have played an important role in establishing QCD as the theory of the strong interaction. While the nucleon tensor charge is not accurately known from the analysis of experiments and from phenomenology, it can be obtained from three-point functions in lattice QCD with statistical and systematic uncertainties better controlled than by taking the moments from the lattice PDFs at this stage [18,19]. This gives a unique opportunity to combine lattice data with experimental measurements for a better constraint on the tensor charge.
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