# Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD

## Abstract

The quark-line disconnected diagram is a potentially important ingredient in lattice QCD calculations of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon. It is also a notoriously difficult one to evaluate. Here, for the first time, we give an estimate of this contribution based on lattice QCD results that have a statistically significant signal, albeit at one value of the lattice spacing and an unphysically heavy value of the u/d quark mass. We use HPQCD’s method of determining the anomalous magnetic moment by reconstructing the Adler function from time moments of the current-current correlator at zero spatial momentum. Our results lead to a total (including u, d and s quarks) quark-line disconnected contribution to a _{μ} of –0.15% of the u/d hadronic vacuum polarization contribution with an uncertainty which is 1% of that contribution.

- Authors:

- Publication Date:

- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1250189

- Alternate Identifier(s):
- OSTI ID: 1565502

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 93 Journal Issue: 7; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Astronomy & Astrophysics; Physics

### Citation Formats

```
Chakraborty, Bipasha, Davies, C. T. H., Koponen, J., Lepage, G. P., Peardon, M. J., and Ryan, S. M. Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD. United States: N. p., 2016.
Web. doi:10.1103/PhysRevD.93.074509.
```

```
Chakraborty, Bipasha, Davies, C. T. H., Koponen, J., Lepage, G. P., Peardon, M. J., & Ryan, S. M. Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD. United States. doi:10.1103/PhysRevD.93.074509.
```

```
Chakraborty, Bipasha, Davies, C. T. H., Koponen, J., Lepage, G. P., Peardon, M. J., and Ryan, S. M. Fri .
"Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD". United States. doi:10.1103/PhysRevD.93.074509.
```

```
@article{osti_1250189,
```

title = {Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD},

author = {Chakraborty, Bipasha and Davies, C. T. H. and Koponen, J. and Lepage, G. P. and Peardon, M. J. and Ryan, S. M.},

abstractNote = {The quark-line disconnected diagram is a potentially important ingredient in lattice QCD calculations of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon. It is also a notoriously difficult one to evaluate. Here, for the first time, we give an estimate of this contribution based on lattice QCD results that have a statistically significant signal, albeit at one value of the lattice spacing and an unphysically heavy value of the u/d quark mass. We use HPQCD’s method of determining the anomalous magnetic moment by reconstructing the Adler function from time moments of the current-current correlator at zero spatial momentum. Our results lead to a total (including u, d and s quarks) quark-line disconnected contribution to aμ of –0.15% of the u/d hadronic vacuum polarization contribution with an uncertainty which is 1% of that contribution.},

doi = {10.1103/PhysRevD.93.074509},

journal = {Physical Review D},

number = 7,

volume = 93,

place = {United States},

year = {2016},

month = {4}

}

DOI: 10.1103/PhysRevD.93.074509

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