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100 1 _ |a Altherr, Anian
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111 2 _ |a The 41st International Symposium on Lattice Field Theory
|g LATTTICE24
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|d 2024-07-28 - 2024-08-03
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245 _ _ |a Error Scaling of Sea Quark Isospin-Breaking Effects
260 _ _ |a Trieste, Italy
|c 2025
|b Sissa Medialab
295 1 0 |a Proceedings of The 41st International Symposium on Lattice Field Theory
300 _ _ |a 116
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520 _ _ |a 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 $\sqrt{V}$.
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700 1 _ |a Campos, Isabel
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700 1 _ |a Cotellucci, Alessandro
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700 1 _ |a Gruber, Roman
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700 1 _ |a Harris, Tim
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700 1 _ |a Marinkovic, Marina
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700 1 _ |a Parato, Letizia
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700 1 _ |a Patella, Agostino
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700 1 _ |a Rosso, Sara
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700 1 _ |a Tavella, Paola
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773 _ _ |a 10.22323/1.466.0116
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