Volume 466 - The 41st International Symposium on Lattice Field Theory (LATTICE2024) - Hadronic and Nuclear Spectrum and Interactions
Update on the isospin breaking corrections to the HVP with $C$-periodic boundary conditions
L. Parato*, A. Altherr, I. Campos, A. Cotellucci, R. Gruber, T. Harris, J. Komijani, J. Lücke, M. Krstic Marinkovic, A. Patella, S. Rosso and P. Tavella
*: corresponding author
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Pre-published on: February 24, 2025
Published on: —
Abstract
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.
DOI: https://doi.org/10.22323/1.466.0119
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