# QED self-energies from lattice QCD without power-law finite-volume errors

## Abstract

Using the infinite-volume photon propagator, we develop a method which allows us to calculate electromagnetic corrections to stable hadron masses at leading order in α QED with only exponentially suppressed finite-volume effects. The key idea is that the infinite-volume hadronic current-current correlation function with large time separation between the two currents can be reconstructed by its value at modest time separation, which can be evaluated in finite volume with only exponentially suppressed errors. This approach can be extended to many other possible applications such as QED corrections to (semi)leptonic decays and some rare decays.

- Authors:

- Publication Date:

- Research Org.:
- Univ. of Connecticut, Storrs, CT (United States)

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

- OSTI Identifier:
- 1575831

- Alternate Identifier(s):
- OSTI ID: 1596008

- Grant/Contract Number:
- SC0010339

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 9; 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

```
Feng, Xu, and Jin, Luchang. QED self-energies from lattice QCD without power-law finite-volume errors. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.094509.
```

```
Feng, Xu, & Jin, Luchang. QED self-energies from lattice QCD without power-law finite-volume errors. United States. doi:10.1103/PhysRevD.100.094509.
```

```
Feng, Xu, and Jin, Luchang. Tue .
"QED self-energies from lattice QCD without power-law finite-volume errors". United States. doi:10.1103/PhysRevD.100.094509.
```

```
@article{osti_1575831,
```

title = {QED self-energies from lattice QCD without power-law finite-volume errors},

author = {Feng, Xu and Jin, Luchang},

abstractNote = {Using the infinite-volume photon propagator, we develop a method which allows us to calculate electromagnetic corrections to stable hadron masses at leading order in α QED with only exponentially suppressed finite-volume effects. The key idea is that the infinite-volume hadronic current-current correlation function with large time separation between the two currents can be reconstructed by its value at modest time separation, which can be evaluated in finite volume with only exponentially suppressed errors. This approach can be extended to many other possible applications such as QED corrections to (semi)leptonic decays and some rare decays.},

doi = {10.1103/PhysRevD.100.094509},

journal = {Physical Review D},

number = 9,

volume = 100,

place = {United States},

year = {2019},

month = {11}

}

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DOI: 10.1103/PhysRevD.100.094509

DOI: 10.1103/PhysRevD.100.094509

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Cited by: 4 works

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