# Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry

## Abstract

We present the first lattice-QCD calculation of the kaon distribution amplitude using the large-momentum effective theory (LaMET) approach. The momentum-smearing technique has been implemented to improve signals at large meson momenta. We subtract the power divergence due to Wilson line to high precision using multiple lattice spacings. The kaon structure clearly shows an asymmetry of the distribution amplitude around x = 1/2, a clear sign of its skewness. Our result also prefers a broader distribution than the asymptotic form. We also study the leading SU(3) flavor symmetry breaking relations for the pion, kaon and eta meson distribution amplitudes, and the results are consistent with the prediction from chiral perturbation theory.

- Authors:

- Michigan State Univ., East Lansing, MI (United States); Chinese Academy of Sciences (CAS), Beijing (China); Univ. of Chinese Academy of Sciences, Beijing (China)
- National Taiwan Univ., Taipei (Taiwan)
- Univ. of Connecticut, Storrs, CT (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
- Michigan State Univ., East Lansing, MI (United States)
- Univ. Regensburg, Regensburg (Germany)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Univ. of California, Oakland, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1488962

- Alternate Identifier(s):
- OSTI ID: 1543585

- Grant/Contract Number:
- AC02-05CH11231; SC0011090; EC0012704

- Resource Type:
- Published Article

- Journal Name:
- Nuclear Physics. B

- Additional Journal Information:
- Journal Volume: 939; Journal Issue: C; Journal ID: ISSN 0550-3213

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; Physics

### Citation Formats

```
Zhang, Rui, Chen, Jiunn -Wei, Jin, Luchang, Lin, Huey -Wen, Schäfer, Andreas, Sun, Peng, Yang, Yi -Bo, Zhang, Jian -Hui, and Zhao, Yong. Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry. United States: N. p., 2018.
Web. doi:10.1016/j.nuclphysb.2018.12.020.
```

```
Zhang, Rui, Chen, Jiunn -Wei, Jin, Luchang, Lin, Huey -Wen, Schäfer, Andreas, Sun, Peng, Yang, Yi -Bo, Zhang, Jian -Hui, & Zhao, Yong. Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry. United States. doi:10.1016/j.nuclphysb.2018.12.020.
```

```
Zhang, Rui, Chen, Jiunn -Wei, Jin, Luchang, Lin, Huey -Wen, Schäfer, Andreas, Sun, Peng, Yang, Yi -Bo, Zhang, Jian -Hui, and Zhao, Yong. Fri .
"Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry". United States. doi:10.1016/j.nuclphysb.2018.12.020.
```

```
@article{osti_1488962,
```

title = {Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry},

author = {Zhang, Rui and Chen, Jiunn -Wei and Jin, Luchang and Lin, Huey -Wen and Schäfer, Andreas and Sun, Peng and Yang, Yi -Bo and Zhang, Jian -Hui and Zhao, Yong},

abstractNote = {We present the first lattice-QCD calculation of the kaon distribution amplitude using the large-momentum effective theory (LaMET) approach. The momentum-smearing technique has been implemented to improve signals at large meson momenta. We subtract the power divergence due to Wilson line to high precision using multiple lattice spacings. The kaon structure clearly shows an asymmetry of the distribution amplitude around x = 1/2, a clear sign of its skewness. Our result also prefers a broader distribution than the asymptotic form. We also study the leading SU(3) flavor symmetry breaking relations for the pion, kaon and eta meson distribution amplitudes, and the results are consistent with the prediction from chiral perturbation theory.},

doi = {10.1016/j.nuclphysb.2018.12.020},

journal = {Nuclear Physics. B},

number = C,

volume = 939,

place = {United States},

year = {2018},

month = {12}

}

DOI: 10.1016/j.nuclphysb.2018.12.020

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