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QEDr : a finite-volume QED action with redistributed spatial zero-momentum modes

Di Carlo, Matteo ; Hansen, Maxwell T. ; Hermansson-Truedsson, Nils LU orcid and Portelli, Antonin (2025) In Journal of High Energy Physics 2025(10).
Abstract

We present a finite-volume QED action designed to improve the infinite-volume extrapolation of hadronic observables in precision lattice QCD+QED calculations. The action proposed in this work, which we call QEDr, can be seen as a particular case of the infrared-improved QED actions introduced by Davoudi et al. in 2019, and is specifically designed to remove kinematics-independent finite-volume corrections that appear at O(1/L3) in the commonly used QEDL formulation, where L is the spatial extent of the physical volume. For a number of key observables, these effects depend on the internal structure of the hadrons and are difficult to evaluate non-perturbatively, making an analytical subtraction of the... (More)

We present a finite-volume QED action designed to improve the infinite-volume extrapolation of hadronic observables in precision lattice QCD+QED calculations. The action proposed in this work, which we call QEDr, can be seen as a particular case of the infrared-improved QED actions introduced by Davoudi et al. in 2019, and is specifically designed to remove kinematics-independent finite-volume corrections that appear at O(1/L3) in the commonly used QEDL formulation, where L is the spatial extent of the physical volume. For a number of key observables, these effects depend on the internal structure of the hadrons and are difficult to evaluate non-perturbatively, making an analytical subtraction of the finite-volume effects impractical. We explicitly study the QEDr electromagnetic finite-size effects on hadron masses and leptonic decay rates, relevant for Standard Model precision tests using the Cabibbo-Kobayashi-Maskawa matrix elements. In addition, we propose methods to remove the kinematics-dependent O(1/L3) effects in leptonic decays. The removal of such contributions, shifting the leading contamination to O(1/L4), will help to reduce the systematic uncertainties associated with finite-volume effects in future lattice QCD+QED calculations.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Algorithms and Theoretical Developments, Hadronic Matrix Elements and Weak Decays, Lattice QCD, Standard Model Parameters
in
Journal of High Energy Physics
volume
2025
issue
10
article number
26
publisher
Springer
external identifiers
  • scopus:105018072448
ISSN
1029-8479
DOI
10.1007/JHEP10(2025)026
language
English
LU publication?
yes
id
fc64c1c3-e0c9-4aa0-985b-d5bd918d5078
date added to LUP
2025-11-25 11:44:48
date last changed
2025-11-25 11:45:07
@article{fc64c1c3-e0c9-4aa0-985b-d5bd918d5078,
  abstract     = {{<p>We present a finite-volume QED action designed to improve the infinite-volume extrapolation of hadronic observables in precision lattice QCD+QED calculations. The action proposed in this work, which we call QED<sub>r</sub>, can be seen as a particular case of the infrared-improved QED actions introduced by Davoudi et al. in 2019, and is specifically designed to remove kinematics-independent finite-volume corrections that appear at O(1/L<sup>3</sup>) in the commonly used QED<sub>L</sub> formulation, where L is the spatial extent of the physical volume. For a number of key observables, these effects depend on the internal structure of the hadrons and are difficult to evaluate non-perturbatively, making an analytical subtraction of the finite-volume effects impractical. We explicitly study the QED<sub>r</sub> electromagnetic finite-size effects on hadron masses and leptonic decay rates, relevant for Standard Model precision tests using the Cabibbo-Kobayashi-Maskawa matrix elements. In addition, we propose methods to remove the kinematics-dependent O(1/L<sup>3</sup>) effects in leptonic decays. The removal of such contributions, shifting the leading contamination to O(1/L<sup>4</sup>), will help to reduce the systematic uncertainties associated with finite-volume effects in future lattice QCD+QED calculations.</p>}},
  author       = {{Di Carlo, Matteo and Hansen, Maxwell T. and Hermansson-Truedsson, Nils and Portelli, Antonin}},
  issn         = {{1029-8479}},
  keywords     = {{Algorithms and Theoretical Developments; Hadronic Matrix Elements and Weak Decays; Lattice QCD; Standard Model Parameters}},
  language     = {{eng}},
  number       = {{10}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{QED<sub>r</sub> : a finite-volume QED action with redistributed spatial zero-momentum modes}},
  url          = {{http://dx.doi.org/10.1007/JHEP10(2025)026}},
  doi          = {{10.1007/JHEP10(2025)026}},
  volume       = {{2025}},
  year         = {{2025}},
}