%0 Conference Paper
%A Altherr, Anian
%A Campos, Isabel
%A Cotellucci, Alessandro
%A Gruber, Roman
%A Harris, Tim
%A Marinkovic, Marina
%A Parato, Letizia
%A Patella, Agostino
%A Rosso, Sara
%A Tavella, Paola
%T Error Scaling of Sea Quark Isospin-Breaking Effects
%J Proceeding of Science
%C Trieste, Italy
%I Sissa Medialab
%M FZJ-2025-05560
%P 116
%D 2025
%< Proceedings of The 41st International Symposium on Lattice Field Theory
%X 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 $\sqrt{V}$.
%B The 41st International Symposium on Lattice Field Theory
%C 28 Jul 2024 - 3 Aug 2024, Liverpool (UK)
Y2 28 Jul 2024 - 3 Aug 2024
M2 Liverpool, UK
%F PUB:(DE-HGF)16 ; PUB:(DE-HGF)8 ; PUB:(DE-HGF)7
%9 Journal ArticleContribution to a conference proceedingsContribution to a book
%R 10.22323/1.466.0116
%U https://juser.fz-juelich.de/record/1049776