TY  - CONF
AU  - Altherr, Anian
AU  - Campos, Isabel
AU  - Cotellucci, Alessandro
AU  - Gruber, Roman
AU  - Harris, Tim
AU  - Marinkovic, Marina
AU  - Parato, Letizia
AU  - Patella, Agostino
AU  - Rosso, Sara
AU  - Tavella, Paola
TI  - Error Scaling of Sea Quark Isospin-Breaking Effects
JO  - Proceeding of Science
CY  - Trieste, Italy
PB  - Sissa Medialab
M1  - FZJ-2025-05560
SP  - 116
PY  - 2025
AB  - 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 $\sqrt{V}$.
T2  - The 41st International Symposium on Lattice Field Theory
CY  - 28 Jul 2024 - 3 Aug 2024, Liverpool (UK)
Y2  - 28 Jul 2024 - 3 Aug 2024
M2  - Liverpool, UK
LB  - PUB:(DE-HGF)16 ; PUB:(DE-HGF)8 ; PUB:(DE-HGF)7
DO  - DOI:10.22323/1.466.0116
UR  - https://juser.fz-juelich.de/record/1049776
ER  -