Muon anomalous magnetic moment with staggered fermions: Is the lattice spacing small enough?
Abstract
We extend our previous work on the light-quark connected part, $$a$$$^{HVP,lqc}_{μ}$$, of the leading-order hadronic-vacuum-polarization (HVP) contribution to the muon anomalous magnetic moment aμ, using staggered fermions, in several directions. We have collected more statistics on ensembles with lattice spacings of 0.06, 0.09 and 0.12 fm, and we added two new ensembles, both with lattice spacing 0.15 fm, but with different volumes. The increased statistics allow us to reduce statistical errors on $$a$$$^{HVP,lqc}_{μ}$$ and related window quantities significantly. We also calculate the current-current correlator from which $$a$$$^{HVP,lqc}_{μ}$$ is obtained to next-to-next-to-leading order (NNLO) in staggered chiral perturbation theory, so that we can correct lattice values for $$a$$$^{HVP,lqc}_{μ}$$ to NNLO for finite-volume, pion-mass mistuning and taste-breaking effects. We discuss the applicability of NNLO chiral perturbation theory to $$a$$$^{HVP,lqc}_{μ}$$ and to the window quantities, emphasizing that it provides a systematic effective-field theory (EFT) approach to $$a$$$^{HVP,lqc}_{μ}$$, but not to short- or intermediate-distance window quantities. This makes it difficult to assess systematic errors on the standard intermediate-distance window quantity that is now widely considered in the literature. In view of this, we investigate a longer-distance window, for which EFT methods should be more reliable. Our most important conclusion is that, especially for staggered fermions, new high-statistics computations at lattice spacings smaller than 0.06 fm are indispensable. Our results are based on configurations provided by the MILC and also by the CalLat collaborations.
- Publication Date:
- Research Org.:
- San Francisco State Univ., CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
- OSTI Identifier:
- 1886721
- Alternate Identifier(s):
- OSTI ID: 1901602
- Grant/Contract Number:
- SC0010339; SC0013682; ACI-1548562
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 106 Journal Issue: 5; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice field theory; Magnetic moment; Quantum chromodynamics
Citation Formats
Aubin, Christopher, Blum, Thomas, Golterman, Maarten, and Peris, Santiago. Muon anomalous magnetic moment with staggered fermions: Is the lattice spacing small enough?. United States: N. p., 2022.
Web. doi:10.1103/PhysRevD.106.054503.
Aubin, Christopher, Blum, Thomas, Golterman, Maarten, & Peris, Santiago. Muon anomalous magnetic moment with staggered fermions: Is the lattice spacing small enough?. United States. https://doi.org/10.1103/PhysRevD.106.054503
Aubin, Christopher, Blum, Thomas, Golterman, Maarten, and Peris, Santiago. Mon .
"Muon anomalous magnetic moment with staggered fermions: Is the lattice spacing small enough?". United States. https://doi.org/10.1103/PhysRevD.106.054503.
@article{osti_1886721,
title = {Muon anomalous magnetic moment with staggered fermions: Is the lattice spacing small enough?},
author = {Aubin, Christopher and Blum, Thomas and Golterman, Maarten and Peris, Santiago},
abstractNote = {We extend our previous work on the light-quark connected part, $a$$^{HVP,lqc}_{μ}$, of the leading-order hadronic-vacuum-polarization (HVP) contribution to the muon anomalous magnetic moment aμ, using staggered fermions, in several directions. We have collected more statistics on ensembles with lattice spacings of 0.06, 0.09 and 0.12 fm, and we added two new ensembles, both with lattice spacing 0.15 fm, but with different volumes. The increased statistics allow us to reduce statistical errors on $a$$^{HVP,lqc}_{μ}$ and related window quantities significantly. We also calculate the current-current correlator from which $a$$^{HVP,lqc}_{μ}$ is obtained to next-to-next-to-leading order (NNLO) in staggered chiral perturbation theory, so that we can correct lattice values for $a$$^{HVP,lqc}_{μ}$ to NNLO for finite-volume, pion-mass mistuning and taste-breaking effects. We discuss the applicability of NNLO chiral perturbation theory to $a$$^{HVP,lqc}_{μ}$ and to the window quantities, emphasizing that it provides a systematic effective-field theory (EFT) approach to $a$$^{HVP,lqc}_{μ}$, but not to short- or intermediate-distance window quantities. This makes it difficult to assess systematic errors on the standard intermediate-distance window quantity that is now widely considered in the literature. In view of this, we investigate a longer-distance window, for which EFT methods should be more reliable. Our most important conclusion is that, especially for staggered fermions, new high-statistics computations at lattice spacings smaller than 0.06 fm are indispensable. Our results are based on configurations provided by the MILC and also by the CalLat collaborations.},
doi = {10.1103/PhysRevD.106.054503},
journal = {Physical Review D},
number = 5,
volume = 106,
place = {United States},
year = {Mon Sep 12 00:00:00 EDT 2022},
month = {Mon Sep 12 00:00:00 EDT 2022}
}
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