# Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- $\beta $ Decay Phenomenology

## Abstract

The potential importance of short-distance nuclear effects in double-$$\beta$$ decay is assessed using a lattice QCD calculation of the $$nn\rightarrow pp$$ transition and effective field theory methods. At the unphysical quark masses used in the numerical computation, these effects, encoded in the isotensor axial polarisability, are found to be of similar magnitude to the nuclear modification of the single axial current, which phenomenologically is the quenching of the axial charge used in nuclear many-body calculations. This finding suggests that nuclear models for neutrinoful and neutrinoless double-$$\beta$$ decays should incorporate this previously neglected contribution if they are to provide reliable guidance for next-generation neutrinoless double-$$\beta$$ decay searches. The prospects of constraining the isotensor axial polarisabilities of nuclei using lattice QCD input into nuclear many-body calculations are discussed.

- Authors:

- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
- City College of New York, NY (United States)
- Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory and Dept. of Physics
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)

- Publication Date:

- Research Org.:
- Oak Ridge National Laboratory, Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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

- Contributing Org.:
- NPLQCD Collaboration

- OSTI Identifier:
- 1376680

- Alternate Identifier(s):
- OSTI ID: 1374765

- Report Number(s):
- JLAB-THY-17-2502; DOE/OR/23177-4169; arXiv:1701.03456; MIT-CTP-4867; INT-PUB-16-056

Journal ID: ISSN 0031-9007; PRLTAO

- Grant/Contract Number:
- NSF PHY11-25915; PHY15-15738; AC02-05CH11231; SC0010337; FG02-00ER41132; SC0010495; SC0011090; FG02-04ER41302; AC05-00OR22725; AC05-06OR23177

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physical Review Letters

- Additional Journal Information:
- Journal Volume: 119; Journal Issue: 6; Journal ID: ISSN 0031-9007

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Shanahan, Phiala E., Tiburzi, Brian C., Wagman, Michael L., Winter, Frank, Chang, Emmanuel, Davoudi, Zohreh, Detmold, William, Orginos, Kostas, and Savage, Martin J. Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- β Decay Phenomenology. United States: N. p., 2017.
Web. doi:10.1103/PhysRevLett.119.062003.
```

```
Shanahan, Phiala E., Tiburzi, Brian C., Wagman, Michael L., Winter, Frank, Chang, Emmanuel, Davoudi, Zohreh, Detmold, William, Orginos, Kostas, & Savage, Martin J. Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- β Decay Phenomenology. United States. doi:10.1103/PhysRevLett.119.062003.
```

```
Shanahan, Phiala E., Tiburzi, Brian C., Wagman, Michael L., Winter, Frank, Chang, Emmanuel, Davoudi, Zohreh, Detmold, William, Orginos, Kostas, and Savage, Martin J. Tue .
"Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- β Decay Phenomenology". United States. doi:10.1103/PhysRevLett.119.062003. https://www.osti.gov/servlets/purl/1376680.
```

```
@article{osti_1376680,
```

title = {Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- β Decay Phenomenology},

author = {Shanahan, Phiala E. and Tiburzi, Brian C. and Wagman, Michael L. and Winter, Frank and Chang, Emmanuel and Davoudi, Zohreh and Detmold, William and Orginos, Kostas and Savage, Martin J.},

abstractNote = {The potential importance of short-distance nuclear effects in double-$\beta$ decay is assessed using a lattice QCD calculation of the $nn\rightarrow pp$ transition and effective field theory methods. At the unphysical quark masses used in the numerical computation, these effects, encoded in the isotensor axial polarisability, are found to be of similar magnitude to the nuclear modification of the single axial current, which phenomenologically is the quenching of the axial charge used in nuclear many-body calculations. This finding suggests that nuclear models for neutrinoful and neutrinoless double-$\beta$ decays should incorporate this previously neglected contribution if they are to provide reliable guidance for next-generation neutrinoless double-$\beta$ decay searches. The prospects of constraining the isotensor axial polarisabilities of nuclei using lattice QCD input into nuclear many-body calculations are discussed.},

doi = {10.1103/PhysRevLett.119.062003},

journal = {Physical Review Letters},

number = 6,

volume = 119,

place = {United States},

year = {2017},

month = {8}

}

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