# 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} }

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

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…

Pion and Kaon box contribution to $a_{\mu}^{\text{HLbL}}$

- Physics
- 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, MedicinePhysical 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

- Physics
- 2017

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

- PhysicsPhysics Reports
- 2020

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

- PhysicsPhysical 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

- Physics
- 2020

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

- PhysicsProgress 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…