# QCD Coupling from a Nonperturbative Determination of the Three-Flavor $\mathrm{\Lambda}$ Parameter

## Abstract

We present a lattice determination of the Λ parameter in three-flavor QCD and the strong coupling at the Z pole mass. Computing the nonperturbative running of the coupling in the range from 0.2 to 70 GeV, and using experimental input values for the masses and decay constants of the pion and the kaon, we obtain Λ(3)MS=341(12) MeV. The nonperturbative running up to very high energies guarantees that systematic effects associated with perturbation theory are well under control. Using the four-loop prediction for Λ(5)MS/Λ(3)MS yields α(5)MS(mZ)=0.11852(84).

- Authors:

- Publication Date:

- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)

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

- Contributing Org.:
- [ALPHA Collaboration]

- OSTI Identifier:
- 1380060

- Alternate Identifier(s):
- OSTI ID: 1426437

- Report Number(s):
- [BNL-114486-2017-JAAM]

[Journal ID: ISSN 0031-9007; PRLTAO; 102001]

- Grant/Contract Number:
- [SC0012704]

- Resource Type:
- Published Article

- Journal Name:
- Physical Review Letters

- Additional Journal Information:
- [Journal Name: Physical Review Letters Journal Volume: 119 Journal Issue: 10]; Journal ID: ISSN 0031-9007

- Publisher:
- American Physical Society

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Bruno, Mattia, Brida, Mattia Dalla, Fritzsch, Patrick, Korzec, Tomasz, Ramos, Alberto, Schaefer, Stefan, Simma, Hubert, Sint, Stefan, Sommer, Rainer, and ALPHA Collaboration. QCD Coupling from a Nonperturbative Determination of the Three-Flavor Λ Parameter. United States: N. p., 2017.
Web. doi:10.1103/PhysRevLett.119.102001.
```

```
Bruno, Mattia, Brida, Mattia Dalla, Fritzsch, Patrick, Korzec, Tomasz, Ramos, Alberto, Schaefer, Stefan, Simma, Hubert, Sint, Stefan, Sommer, Rainer, & ALPHA Collaboration. QCD Coupling from a Nonperturbative Determination of the Three-Flavor Λ Parameter. United States. doi:10.1103/PhysRevLett.119.102001.
```

```
Bruno, Mattia, Brida, Mattia Dalla, Fritzsch, Patrick, Korzec, Tomasz, Ramos, Alberto, Schaefer, Stefan, Simma, Hubert, Sint, Stefan, Sommer, Rainer, and ALPHA Collaboration. Fri .
"QCD Coupling from a Nonperturbative Determination of the Three-Flavor Λ Parameter". United States. doi:10.1103/PhysRevLett.119.102001.
```

```
@article{osti_1380060,
```

title = {QCD Coupling from a Nonperturbative Determination of the Three-Flavor Λ Parameter},

author = {Bruno, Mattia and Brida, Mattia Dalla and Fritzsch, Patrick and Korzec, Tomasz and Ramos, Alberto and Schaefer, Stefan and Simma, Hubert and Sint, Stefan and Sommer, Rainer and ALPHA Collaboration},

abstractNote = {We present a lattice determination of the Λ parameter in three-flavor QCD and the strong coupling at the Z pole mass. Computing the nonperturbative running of the coupling in the range from 0.2 to 70 GeV, and using experimental input values for the masses and decay constants of the pion and the kaon, we obtain Λ(3)MS=341(12) MeV. The nonperturbative running up to very high energies guarantees that systematic effects associated with perturbation theory are well under control. Using the four-loop prediction for Λ(5)MS/Λ(3)MS yields α(5)MS(mZ)=0.11852(84).},

doi = {10.1103/PhysRevLett.119.102001},

journal = {Physical Review Letters},

number = [10],

volume = [119],

place = {United States},

year = {2017},

month = {9}

}

Free Publicly Available Full Text

Publisher's Version of Record

DOI: 10.1103/PhysRevLett.119.102001

DOI: 10.1103/PhysRevLett.119.102001

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Cited by: 13 works

*Citation information provided by*

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Web of Science

#### Figures / Tables:

FIG. 1: The shaded area shows the $a$ > 0.04 fm region of large volume results which dominate the present PDG and FLAG estimates of α

_{$\overline{MS}$}(μ). The boundary of the shaded area is determined by α_{$\overline{MS}$}(μ) evaluated at two-loop order for N$_f$ = 3 and Λ$\frac{(3)}{MS}$ = 341more »
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(7 total)

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Figures / Tables found in this record:

*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*