Transversity parton distribution function of the nucleon using the pseudodistribution approach

Egerer, Colin; Kallidonis, Christos; Karpie, Joseph; Karthik, Nikhil; Monahan, Christopher J.; Morris, Wayne; Orginos, Kostas; Radyushkin, Anatoly; Romero, Eloy; Sabbir Sufian, Raza; Zafeiropoulos, Savvas

doi:10.1103/PhysRevD.105.034507

Title: Transversity parton distribution function of the nucleon using the pseudodistribution approach

Journal Article · Mon Feb 14 00:00:00 EST 2022 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.105.034507· OSTI ID:1845034

; Kallidonis, Christos;

; Karthik, Nikhil;

; Morris, Wayne; Orginos, Kostas;

; Romero, Eloy;

; Zafeiropoulos, Savvas

We present a determination of the nonsinglet transversity parton distribution function (PDF) of the nucleon, normalized with respect to the tensor charge at μ²=2 GeV² from lattice quantum chromodynamics. We apply the pseudodistribution 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 pseudodistribution 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.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Office of Workforce Development for Teachers & Scientists (WDTS); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Workforce Development for Teachers and Scientists (WDTS)

Contributing Organization:: HadStruc Collaboration

Grant/Contract Number:: AC05-06OR23177; AC02-05CH11231; AC05-00OR22725; FG02-04ER41302; FG02-97ER41028

OSTI ID:: 1845034

Alternate ID(s):: OSTI ID: 1845844

Report Number(s):: JLAB-THY-21-3521; DOE/OR/23177-5350; arXiv:2111.01808; PRVDAQ; 034507

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 105 Journal Issue: 3; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Parton physics from a heavy-quark operator product expansion: Formalism and Wilson coefficients Detmold, William; Grebe, Anthony V.; Kanamori, Issaku Physical Review D, Vol. 104, Issue 7 https://doi.org/10.1103/PhysRevD.104.074511	journal	October 2021

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