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Title Transversity parton distribution function of the nucleon using the pseudodistribution approach
Authors Colin Egerer, Christos Kallidonis, Joseph Karpie, Nikhil Sridharan Karthik, Christopher Monahan, Wayne Morris, Konstantinos Orginos, Anatoly Radyushkin, Eloy Romero Alcalde, Raza Sufian, Savvas Zafeiropoulos
JLAB number JLAB-THY-21-3521
LANL number arXiv:2111.01808
Other number DOE/OR/23177-5350
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
 

Journal
Compiled for Physical Review D
Volume 105
Page(s) 034507
Refereed
Publication Abstract: We present a determination of the non-singlet transversity parton distribution function (PDF) of the nucleon, normalized with respect to the tensor charge at $\mu^2=2$ GeV$^2$ from lattice quantum chromodynamics. We apply the pseudo-distribution approach, using a gauge ensemble with a lattice spacing of 0.094 fm and the light quark mass tuned to a pion mass of 358 MeV. We extract the transversity PDF from the analysis of the short-distance behavior of the Ioffe-time pseudo-distribution using the leading-twist next-to-leading order (NLO) matching coefficients calculated for transversity. We reconstruct the $x$-dependence of the transversity PDF through an expansion in a basis of Jacobi polynomials in order to reduce the PDF ansatz dependence. Within the limitations imposed by a heavier-than-physical pion mass and a fixed lattice spacing, we present a comparison of our estimate for the valence transversity PDF with the recent global fit results based on single transverse spin asymmetry. We find the intrinsic nucleon sea to be isospin symmetric with respect to transversity.
Experiment Numbers: other
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1103/PhysRevD.105.034507
Accepted Manuscript: PhysRevD.105.034507.pdf
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