# Nonperturbative QCD corrections to electroweak observables

## Abstract

Nonperturbative QCD corrections are important to many low-energy electroweak observables, for example the muon magnetic moment. However, hadronic corrections also play a significant role at much higher energies due to their impact on the running of standard model parameters, such as the electromagnetic coupling. Currently, these hadronic contributions are accounted for by a combination of experimental measurements and phenomenological modeling but ideally should be calculated from first principles. Recent developments indicate that many of the most important hadronic corrections may be feasibly calculated using lattice QCD methods. To illustrate this, we will examine the lattice computation of the leading-order QCD corrections to the muon magnetic moment, paying particular attention to a recently developed method but also reviewing the results from other calculations. We will then continue with several examples that demonstrate the potential impact of the new approach: the leading-order corrections to the electron and tau magnetic moments, the running of the electromagnetic coupling, and a class of the next-to-leading-order corrections for the muon magnetic moment. Along the way, we will mention applications to the Adler function, the determination of the strong coupling constant and QCD corrections to muonic-hydrogen.

- Authors:

- Publication Date:

- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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

- OSTI Identifier:
- 1045825

- Report Number(s):
- JLAB-THY-12-1575; DOE/OR/23177-2184; arXiv:1206.3113

TRN: US1203644

- DOE Contract Number:
- AC05-06OR23177

- Resource Type:
- Conference

- Journal Name:
- Proceedings of Science

- Additional Journal Information:
- Journal Volume: LATTICE2011; Conference: XXIX International Symposium on Lattice Field Theory, July 10-16, 2011, Squaw Valley, Lake Tahoe, California

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COUPLING CONSTANTS; ELECTRONS; LATTICE FIELD THEORY; MAGNETIC MOMENTS; MUONS; QUANTUM CHROMODYNAMICS; SIMULATION; STANDARD MODEL

### Citation Formats

```
Dru B Renner, Xu Feng, Karl Jansen, Marcus Petschlies.
```*Nonperturbative QCD corrections to electroweak observables*. United States: N. p., 2011.
Web.

```
Dru B Renner, Xu Feng, Karl Jansen, Marcus Petschlies.
```*Nonperturbative QCD corrections to electroweak observables*. United States.

```
Dru B Renner, Xu Feng, Karl Jansen, Marcus Petschlies. Thu .
"Nonperturbative QCD corrections to electroweak observables". United States. https://www.osti.gov/servlets/purl/1045825.
```

```
@article{osti_1045825,
```

title = {Nonperturbative QCD corrections to electroweak observables},

author = {Dru B Renner, Xu Feng, Karl Jansen, Marcus Petschlies},

abstractNote = {Nonperturbative QCD corrections are important to many low-energy electroweak observables, for example the muon magnetic moment. However, hadronic corrections also play a significant role at much higher energies due to their impact on the running of standard model parameters, such as the electromagnetic coupling. Currently, these hadronic contributions are accounted for by a combination of experimental measurements and phenomenological modeling but ideally should be calculated from first principles. Recent developments indicate that many of the most important hadronic corrections may be feasibly calculated using lattice QCD methods. To illustrate this, we will examine the lattice computation of the leading-order QCD corrections to the muon magnetic moment, paying particular attention to a recently developed method but also reviewing the results from other calculations. We will then continue with several examples that demonstrate the potential impact of the new approach: the leading-order corrections to the electron and tau magnetic moments, the running of the electromagnetic coupling, and a class of the next-to-leading-order corrections for the muon magnetic moment. Along the way, we will mention applications to the Adler function, the determination of the strong coupling constant and QCD corrections to muonic-hydrogen.},

doi = {},

journal = {Proceedings of Science},

number = ,

volume = LATTICE2011,

place = {United States},

year = {2011},

month = {12}

}