%0 Conference Paper
%A Parato, Letizia
%A Altherr, Anian
%A Campos, Isabel
%A Cotellucci, Alessandro
%A Gruber, Roman
%A Harris, Tim
%A Komijani, Javad
%A Lücke, Jens
%A Krstic Marinkovic, Marina
%A Patella, Agostino
%A Rosso, Sara
%A Tavella, Paola
%T Update on the isospin breaking corrections to the HVP with $C$-periodic boundary conditions
%C Trieste, Italy
%I Sissa Medialab
%M FZJ-2025-05587
%B Proceedings of Science
%P 119
%D 2025
%< Proceedings of The 41st International Symposium on Lattice Field Theory
%X In the RC$^{\star}$ collaboration, we simulate lattice QCD+QED using $C-$periodic spatial boundary conditions to ensure that locality, gauge invariance, and translational invariance are preserved throughout the calculation. We present our progress in computing isospin-breaking (IB) corrections to the leading hadronic contribution to $(g-2)_\mu$. We compare two ways of including the IB corrections: the RM123 method and dynamical QCD+QED simulations, both with $C-$periodic boundary conditions. The two calculations are performed at $\beta=3.24$ with four flavours of $\mathcal{O}(a)-$improved Wilson fermions; the QCD ensemble features $SU(3)-$symmetric sea quarks plus charm, while down and strange quarks are degenerate in QCD+QED gauge ensembles.
%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)8 ; PUB:(DE-HGF)7
%9 Contribution to a conference proceedingsContribution to a book
%R 10.22323/1.466.0119
%U https://juser.fz-juelich.de/record/1049803