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@INPROCEEDINGS{Engelhardt:1037613,
      author       = {Engelhardt, Michael and Hasan, Nesreen and Krieg, Stefan
                      and Liuti, Simonetta and Meinel, Stefan and Negele, John and
                      Pochinsky, Andrew and Rodekamp, Marcel and Syritsyn, Sergey},
      title        = {{Q}uark orbital angular momentum in the proton from a
                      twist-3 generalized parton distribution},
      address      = {Trieste, Italy},
      publisher    = {Sissa Medialab Trieste},
      reportid     = {FZJ-2025-00784},
      series       = {Proceedings of 25th International Symposium on Spin Physics
                      — PoS(SPIN2023)},
      pages        = {10p.},
      year         = {2024},
      abstract     = {Quark orbital angular momentum in the proton is evaluated
                      via a Lattice QCD calculation of thesecond Mellin moment of
                      the twist-3 generalized parton distribution ˜E2T in the
                      forward limit. Theconnection between this approach to quark
                      orbital angular momentum and approaches previouslyutilized
                      in Lattice QCD calculations, via generalized transverse
                      momentum-dependent partondistributions and via Ji’s sum
                      rule, is reviewed. This connection can be given in terms of
                      Lorentzinvariance and equation of motion relations. The
                      calculation of the second Mellin moment of˜E2T proceeds via
                      a finite-momentum proton matrix element of a quark bilocal
                      operator with astraight-line gauge connection and separation
                      in both the longitudinal and transverse directions.The
                      dependence on the former component serves to extract the
                      second Mellin moment, whereasthe dependence on the latter
                      component provides a transverse momentum cutoff for the
                      matrixelement. Furthermore, a derivative of the matrix
                      element with respect to momentum transfer inthe forward
                      limit is required, which is obtained using a direct
                      derivative method. The calculationutilizes a clover fermion
                      ensemble at pion mass 317 MeV. The resulting quark orbital
                      angularmomentum is consistent with previous evaluations
                      through alternative approaches, albeit withgreater
                      statistical uncertainty using a comparable number of
                      samples},
      month         = {Sep},
      date          = {2023-09-24},
      organization  = {25th International Symposium on Spin
                       Physics, Durham, NC (USA), 24 Sep 2023
                       - 29 Sep 2023},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / SDS005 - Towards an
                      integrated data science of complex natural systems
                      (PF-JARA-SDS005) / NRW-FAIR (NW21-024-A)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(DE-Juel-1)PF-JARA-SDS005 /
                      G:(NRW)NW21-024-A},
      typ          = {PUB:(DE-HGF)8 / PUB:(DE-HGF)7},
      doi          = {10.22323/1.456.0075},
      url          = {https://juser.fz-juelich.de/record/1037613},
}