# Application of effective field theory to finite-volume effects in aμHVP

@article{Aubin2020ApplicationOE,
title={Application of effective field theory to finite-volume effects in
a$\mu$HVP},
author={Christopher Alan Aubin and Thomas Blum and Maarten Golterman and Santiago Peris},
journal={arXiv: High Energy Physics - Lattice},
year={2020}
}
• C. Aubin, +1 author S. Peris
• Published 9 August 2020
• Physics
• arXiv: High Energy Physics - Lattice
One of the more important systematic effects affecting lattice computations of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon, $a_\mu^{\rm HVP}$, is the distortion due to a finite spatial volume. In order to reach sub-percent precision, these effects need to be reliably estimated and corrected for, and one of the methods that has been employed for doing this is finite-volume chiral perturbation theory. In this paper, we argue that finite-volume…
2 Citations

## Figures from this paper

The muon $g-2$ with four flavors of staggered quarks
• Physics
• 2021
C. Aubin,a,∗ T. Blum, M. Golterman and S. Peris Dept. of Physics & Engineering Physics, Fordham Univ., Bronx, NY 10458, USA Dept. of Physics, Univ. of Connecticut, Storrs, CT 06269, USA Dept. of
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• 'Angel Miramontes
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• 2021
Ángel Miramontes, ∗ Adnan Bashir, † Khépani Raya, ‡ and Pablo Roig § Instituto de F́ısica y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, Michoacán 58040, Mexico

## References

SHOWING 1-10 OF 36 REFERENCES
Finite-Volume Effects in (g-2)_{μ}^{HVP,LO}.
• Physics, Medicine
Physical review letters
• 2019
An analytic expression is derived for the leading-order finite-volume effects arising in lattice QCD calculations of the hadronic-vacuum-polarization contribution to the muon's magnetic moment a_{μ}^{HVP,LO}≡(g-2)_{μ})/2 and finds that it contributes negligibly and through a universal term that depends only on the pion decay constant, with all additional low-energy constants dropping out of the integral.
The hadronic vacuum polarization contribution to $a_{\mu}$ from full lattice QCD
• Physics
• 2016
We determine the contribution to the anomalous magnetic moment of the muon from the $\alpha^2_{\mathrm{QED}}$ hadronic vacuum polarization diagram using full lattice QCD and including $u/d$ quarks
Finite-volume effects in the muon anomalous magnetic moment on the lattice
• Physics
• 2016
We investigate finite-volume effects in the hadronic vacuum polarization, with an eye toward the corresponding systematic error in the muon anomalous magnetic moment. We consider both recent lattice
Using infinite-volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment
In our previous work, the connected and leading disconnected hadronic light-by-light contributions to the muon anomalous magnetic moment (g - 2) have been computed using lattice QCD ensembles
The anomalous magnetic moment of the muon in the Standard Model
We review the present status of the Standard Model calculation of the anomalous magnetic moment of the muon. This is performed in a perturbative expansion in the fine-structure constant $\alpha$ and
Light quark vacuum polarization at the physical point and contribution to the muon g−2
• Physics
• 2020
We report on the computation of the connected light-quark vacuum polarization with $2+1+1$ flavors of highly improved staggered quarks [Follana et al., Phys. Rev. D 75, 054502 (2007).] fermions at
Hadronic vacuum polarization contribution to the muon g−2 with ( 2+1 )-flavor lattice QCD on a larger than (10  fm)4 lattice at the physical point
• Physics
Physical Review D
• 2019
We study systematic uncertainties in the lattice QCD computation of hadronic vacuum polarization (HVP) contribution to the muon $g-2$. We investigate three systematic effects; finite volume (FV)
Leading-order hadronic vacuum polarization contribution to the muon magnetic momentfrom lattice QCD
We compute the leading order hadronic vacuum polarization (LO-HVP) contribution to the anomalous magnetic moment of the muon, $(g_\mu-2)$, using lattice QCD. Calculations are performed with four
Position-space approach to hadronic light-by-light scattering in the muon $g-2$ on the lattice
• Physics
• 2016
The anomalous magnetic moment of the muon currently exhibits a discrepancy of about three standard deviations between the experimental value and recent Standard Model predictions. The theoretical
A new approach for measuring the muon anomalous magnetic moment and electric dipole moment
• M. Abe, +93 authors T. Yoshioka
• Physics
Progress of Theoretical and Experimental Physics
• 2019
This paper introduces a new approach to measure the muon magnetic moment anomaly |$a_{\mu} = (g-2)/2$| and the muon electric dipole moment (EDM) |$d_{\mu}$| at the J-PARC muon facility. The goal of