Comparing RM123 and non-perturbative QCD+QED approaches to the HVP with C-periodic boundary conditions

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Autores principales: Altherr, Anian, Campos, Isabel, Cotellucci, Alessandro, Gruber, Roman, Harris, Tim, Komijani, Javad, Margari, Francesca, Marinkovic, Marina K., Parato, Letizia, Patella, Agostino, Rosso, Sara, Tantalo, Nazario, Tavella, Paola
Formato: Preprint
Publicado: 2026
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author Altherr, Anian
Campos, Isabel
Cotellucci, Alessandro
Gruber, Roman
Harris, Tim
Komijani, Javad
Margari, Francesca
Marinkovic, Marina K.
Parato, Letizia
Patella, Agostino
Rosso, Sara
Tantalo, Nazario
Tavella, Paola
author_facet Altherr, Anian
Campos, Isabel
Cotellucci, Alessandro
Gruber, Roman
Harris, Tim
Komijani, Javad
Margari, Francesca
Marinkovic, Marina K.
Parato, Letizia
Patella, Agostino
Rosso, Sara
Tantalo, Nazario
Tavella, Paola
contents Isospin-breaking corrections to the HVP are among the leading sources of uncertainty in the Standard Model prediction of the muon $g-2$. In recent work by the RC$^{\star}$ collaboration, we compute the intermediate window contribution for a flavour non-singlet current using two strategies to include isospin-breaking corrections: the RM123 approach and a fully non-perturbative dynamical QCD+QED simulation. In both computations, we use $C$-periodic spatial boundary conditions to ensure that locality, gauge invariance, and translational invariance are preserved throughout the calculation. At fixed lattice spacing and volume with $N_f =1+2+1$ dynamical fermions, and fully including sea-quark effects in both computations, we find that simulating the full QCD+QED distribution yields smaller uncertainties for a fixed statistics. We summarize the comparison of the two approaches and discuss the implications for future lattice QCD+QED computations.
format Preprint
id arxiv_https___arxiv_org_abs_2605_01085
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Comparing RM123 and non-perturbative QCD+QED approaches to the HVP with C-periodic boundary conditions
Altherr, Anian
Campos, Isabel
Cotellucci, Alessandro
Gruber, Roman
Harris, Tim
Komijani, Javad
Margari, Francesca
Marinkovic, Marina K.
Parato, Letizia
Patella, Agostino
Rosso, Sara
Tantalo, Nazario
Tavella, Paola
High Energy Physics - Lattice
Isospin-breaking corrections to the HVP are among the leading sources of uncertainty in the Standard Model prediction of the muon $g-2$. In recent work by the RC$^{\star}$ collaboration, we compute the intermediate window contribution for a flavour non-singlet current using two strategies to include isospin-breaking corrections: the RM123 approach and a fully non-perturbative dynamical QCD+QED simulation. In both computations, we use $C$-periodic spatial boundary conditions to ensure that locality, gauge invariance, and translational invariance are preserved throughout the calculation. At fixed lattice spacing and volume with $N_f =1+2+1$ dynamical fermions, and fully including sea-quark effects in both computations, we find that simulating the full QCD+QED distribution yields smaller uncertainties for a fixed statistics. We summarize the comparison of the two approaches and discuss the implications for future lattice QCD+QED computations.
title Comparing RM123 and non-perturbative QCD+QED approaches to the HVP with C-periodic boundary conditions
topic High Energy Physics - Lattice
url https://arxiv.org/abs/2605.01085