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@ARTICLE{Stump:618792,
      author       = {Stump, Andres and Green, Jeremy Russell},
      title        = {{D}istillation and position-space sampling for local
                      multiquark interpolators},
      reportid     = {PUBDB-2024-07153, DESY-24-186. arXiv:2412.09246},
      year         = {2024},
      note         = {10 pages, 3 figures. Talk presented at the 41st
                      International Symposium on Lattice Field Theory
                      (LATTICE2024), 28 July - 3 August 2024, Liverpool, UK},
      abstract     = {Distillation in lattice QCD is a smearing method that uses
                      the lowest eigenvectors of the spatial Laplacian to
                      construct a subspace in which the Dirac operator can be
                      fully inverted. However, local multiquark interpolators are
                      expensive in this framework because the cost of the
                      contractions scales with a high power of the number of
                      Laplacian eigenvectors. To address this, a position-space
                      sampling method within distillation is presented that avoids
                      this cost scaling. Our simulations show that this method
                      works well for meson operators, but also for local
                      tetraquark operators. In a preliminary study, we investigate
                      the relevance of the latter for the ground state energy of
                      the $T_{cc}(3875)^+$ tetraquark. There we find a downward
                      shift in the lowest level when local tetraquark operators
                      are added to a basis of bilocal scattering operators in the
                      variational method. However, this shift is small compared to
                      the error of the energy.},
      cin          = {$Z_ZPPT$},
      cid          = {$I:(DE-H253)Z_ZPPT-20210408$},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / GRK
                      2575 - GRK 2575: Überdenken der Quantenfeldtheorie
                      (417533893)},
      pid          = {G:(DE-HGF)POF4-611 / G:(GEPRIS)417533893},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2412.09246},
      howpublished = {arXiv:2412.09246},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2412.09246;\%\%$},
      doi          = {10.3204/PUBDB-2024-07153},
      url          = {https://bib-pubdb1.desy.de/record/618792},
}