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High Energy Physics - Lattice

arXiv:2111.01808 (hep-lat)
[Submitted on 2 Nov 2021]

Title:The transversity parton distribution function of the nucleon using the pseudo-distribution approach

Authors:Colin Egerer, Christos Kallidonis, Joseph Karpie, Nikhil Karthik, Christopher J. Monahan, Wayne Morris, Kostas Orginos, Anatoly Radyushkin, Eloy Romero, Raza Sabbir Sufian, Savvas Zafeiropoulos
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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.
Comments: 25 pages, 13 figures
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Experiment (hep-ex); High Energy Physics - Phenomenology (hep-ph); Nuclear Theory (nucl-th)
Report number: JLAB-THY-21-3521
Cite as: arXiv:2111.01808 [hep-lat]
  (or arXiv:2111.01808v1 [hep-lat] for this version)
  https://doi.org/10.48550/arXiv.2111.01808
Related DOI: https://doi.org/10.1103/PhysRevD.105.034507

Submission history

From: Nikhil Karthik [view email]
[v1] Tue, 2 Nov 2021 18:00:06 UTC (1,954 KB)
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