# Hadronic vacuum polarization contribution to ${a}_{\mu}$ from full lattice QCD

## Abstract

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 with physical masses for the first time. We use gluon field configurations that include $u$, $d$, $s$ and $c$ quarks in the sea at multiple values of the lattice spacing, multiple $u/d$ masses and multiple volumes that allow us to include an analysis of finite-volume effects. We obtain a result for $$a_{\mu}^{\mathrm{HVP,LO}}$$ of $667(6)(12)$, where the first error is from the lattice calculation and the second includes systematic errors from missing QED and isospin-breaking effects and from quark-line disconnected diagrams. Our result implies a discrepancy between the experimental determination of $$a_{\mu}$$ and the Standard Model of 3$$\sigma$$.

- Authors:

- Publication Date:

- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- Contributing Org.:
- HPQCD Collaboration

- OSTI Identifier:
- 1375912

- Report Number(s):
- arXiv:1601.03071; FERMILAB-PUB-17-296-T

Journal ID: ISSN 2470-0010; PRVDAQ; 1415120

- DOE Contract Number:
- AC02-07CH11359

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 3; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Chakraborty, Bipasha, Davies, C. T. H., de Oliveira, P. G., Koponen, J., Lepage, G. P., and Van de Water, R. S.
```*Hadronic vacuum polarization contribution to aμ from full lattice QCD*. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.96.034516.

```
Chakraborty, Bipasha, Davies, C. T. H., de Oliveira, P. G., Koponen, J., Lepage, G. P., & Van de Water, R. S.
```*Hadronic vacuum polarization contribution to aμ from full lattice QCD*. United States. doi:10.1103/PhysRevD.96.034516.

```
Chakraborty, Bipasha, Davies, C. T. H., de Oliveira, P. G., Koponen, J., Lepage, G. P., and Van de Water, R. S. Tue .
"Hadronic vacuum polarization contribution to aμ from full lattice QCD". United States. doi:10.1103/PhysRevD.96.034516. https://www.osti.gov/servlets/purl/1375912.
```

```
@article{osti_1375912,
```

title = {Hadronic vacuum polarization contribution to aμ from full lattice QCD},

author = {Chakraborty, Bipasha and Davies, C. T. H. and de Oliveira, P. G. and Koponen, J. and Lepage, G. P. and Van de Water, R. S.},

abstractNote = {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 with physical masses for the first time. We use gluon field configurations that include $u$, $d$, $s$ and $c$ quarks in the sea at multiple values of the lattice spacing, multiple $u/d$ masses and multiple volumes that allow us to include an analysis of finite-volume effects. We obtain a result for $a_{\mu}^{\mathrm{HVP,LO}}$ of $667(6)(12)$, where the first error is from the lattice calculation and the second includes systematic errors from missing QED and isospin-breaking effects and from quark-line disconnected diagrams. Our result implies a discrepancy between the experimental determination of $a_{\mu}$ and the Standard Model of 3$\sigma$.},

doi = {10.1103/PhysRevD.96.034516},

journal = {Physical Review D},

issn = {2470-0010},

number = 3,

volume = 96,

place = {United States},

year = {2017},

month = {8}

}

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