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@INPROCEEDINGS{Altherr:1049776,
      author       = {Altherr, Anian and Campos, Isabel and Cotellucci,
                      Alessandro and Gruber, Roman and Harris, Tim and Marinkovic,
                      Marina and Parato, Letizia and Patella, Agostino and Rosso,
                      Sara and Tavella, Paola},
      title        = {{E}rror {S}caling of {S}ea {Q}uark {I}sospin-{B}reaking
                      {E}ffects},
      journal      = {Proceeding of Science},
      address      = {Trieste, Italy},
      publisher    = {Sissa Medialab},
      reportid     = {FZJ-2025-05560},
      pages        = {116},
      year         = {2025},
      comment      = {Proceedings of The 41st International Symposium on Lattice
                      Field Theory},
      booktitle     = {Proceedings of The 41st International
                       Symposium on Lattice Field Theory},
      abstract     = {Sea-quark isospin-breaking effects (IBE) are difficult to
                      compute since they require the evaluation of all-to-all
                      propagators. However, the quest for high-precision
                      calculations motivates a detailed study of these
                      contributions. There are strong arguments that the
                      stochastic error associated with these quantities should
                      diverge in the continuum and infinite-volume limit,
                      resulting in a possible bottleneck for the method. In this
                      work, we present the study of the error scaling for these
                      quantities using $N_f=3$ $O(a)$-improved Wilson fermions QCD
                      with C-periodic boundary conditions in space, a pion mass
                      $M_{\pi}=400$ MeV, a range of lattice spacings $a=0.05,
                      0.075, 0.1$ fm, and volumes $L=1.6, 2.4, 3.2$ fm. The
                      analysis of the error as a function of the number of
                      stochastic sources shows that we reach the gauge error for
                      the dominant contributions. The errors do not show the
                      leading order divergence $1/a$ for strong-IBE and $1/a^2$
                      for electromagnetic IBE, in the considered range of lattice
                      spacings. On the other hand, our data are consistent with
                      the predicted leading divergence $\sqrt{V}$.},
      month         = {Jul},
      date          = {2024-07-28},
      organization  = {The 41st International Symposium on
                       Lattice Field Theory, Liverpool (UK),
                       28 Jul 2024 - 3 Aug 2024},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / GRK 2575 - GRK 2575:
                      Überdenken der Quantenfeldtheorie (417533893)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(GEPRIS)417533893},
      typ          = {PUB:(DE-HGF)16 / PUB:(DE-HGF)8 / PUB:(DE-HGF)7},
      doi          = {10.22323/1.466.0116},
      url          = {https://juser.fz-juelich.de/record/1049776},
}