Double-β decay matrix elements from lattice quantum chromodynamics

A lattice quantum chromodynamics (LQCD) calculation of the nuclear matrix element relevant to the nn→ppee[bar over ν]p[subscript e][bar over ν][subscript e] transition is described in detail, expanding on the results presented in Ref. [P. E. Shanahan et al., Phys. Rev. Lett. 119, 062003 (2017)]. Thi...

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Main Authors: Tiburzi, Brian C., Wagman, Michael L., Winter, Frank, Chang, Emmanuel, Detmold, William, Orginos, Kostas, Savage, Martin J., Davoudi, Zohreh, Shanahan, Phiala E
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:English
Published: American Physical Society 2018
Online Access:http://hdl.handle.net/1721.1/113348
https://orcid.org/0000-0002-1110-3633
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author Tiburzi, Brian C.
Wagman, Michael L.
Winter, Frank
Chang, Emmanuel
Detmold, William
Orginos, Kostas
Savage, Martin J.
Davoudi, Zohreh
Shanahan, Phiala E
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Tiburzi, Brian C.
Wagman, Michael L.
Winter, Frank
Chang, Emmanuel
Detmold, William
Orginos, Kostas
Savage, Martin J.
Davoudi, Zohreh
Shanahan, Phiala E
author_sort Tiburzi, Brian C.
collection MIT
description A lattice quantum chromodynamics (LQCD) calculation of the nuclear matrix element relevant to the nn→ppee[bar over ν]p[subscript e][bar over ν][subscript e] transition is described in detail, expanding on the results presented in Ref. [P. E. Shanahan et al., Phys. Rev. Lett. 119, 062003 (2017)]. This matrix element, which involves two insertions of the weak axial current, is an important input for phenomenological determinations of double-β decay rates of nuclei. From this exploratory study, performed using unphysical values of the quark masses, the long-distance deuteron-pole contribution to the matrix element is separated from shorter-distance hadronic contributions. This polarizability, which is only accessible in double-weak processes, cannot be constrained from single-β decay of nuclei, and is found to be smaller than the long-distance contributions in this calculation, but non-negligible. In this work, technical aspects of the LQCD calculations, and of the relevant formalism in the pionless effective field theory, are described. Further calculations of the isotensor axial polarizability, in particular near and at the physical values of the light-quark masses, are required for precise determinations of both two-neutrino and neutrinoless double-β decay rates in heavy nuclei.
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spelling mit-1721.1/1133482022-10-01T11:13:03Z Double-β decay matrix elements from lattice quantum chromodynamics Tiburzi, Brian C. Wagman, Michael L. Winter, Frank Chang, Emmanuel Detmold, William Orginos, Kostas Savage, Martin J. Davoudi, Zohreh Shanahan, Phiala E Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Davoudi, Zohreh Shanahan, Phiala E A lattice quantum chromodynamics (LQCD) calculation of the nuclear matrix element relevant to the nn→ppee[bar over ν]p[subscript e][bar over ν][subscript e] transition is described in detail, expanding on the results presented in Ref. [P. E. Shanahan et al., Phys. Rev. Lett. 119, 062003 (2017)]. This matrix element, which involves two insertions of the weak axial current, is an important input for phenomenological determinations of double-β decay rates of nuclei. From this exploratory study, performed using unphysical values of the quark masses, the long-distance deuteron-pole contribution to the matrix element is separated from shorter-distance hadronic contributions. This polarizability, which is only accessible in double-weak processes, cannot be constrained from single-β decay of nuclei, and is found to be smaller than the long-distance contributions in this calculation, but non-negligible. In this work, technical aspects of the LQCD calculations, and of the relevant formalism in the pionless effective field theory, are described. Further calculations of the isotensor axial polarizability, in particular near and at the physical values of the light-quark masses, are required for precise determinations of both two-neutrino and neutrinoless double-β decay rates in heavy nuclei. United States. Department of Energy (Early Career Research Award DE-SC0010495) United States. Department of Energy (Grant DE-SC0011090) 2018-01-30T16:30:44Z 2018-01-30T16:30:44Z 2017-09 2017-04 2017-11-14T22:46:11Z Article http://purl.org/eprint/type/JournalArticle 2470-0010 2470-0029 http://hdl.handle.net/1721.1/113348 Tiburzi, Brian C., et al. “Double- β Decay Matrix Elements from Lattice Quantum Chromodynamics.” Physical Review D, vol. 96, no. 5, Sept. 2017. © 2017 American Physical Society https://orcid.org/0000-0002-1110-3633 en http://dx.doi.org/10.1103/PhysRevD.96.054505 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Tiburzi, Brian C.
Wagman, Michael L.
Winter, Frank
Chang, Emmanuel
Detmold, William
Orginos, Kostas
Savage, Martin J.
Davoudi, Zohreh
Shanahan, Phiala E
Double-β decay matrix elements from lattice quantum chromodynamics
title Double-β decay matrix elements from lattice quantum chromodynamics
title_full Double-β decay matrix elements from lattice quantum chromodynamics
title_fullStr Double-β decay matrix elements from lattice quantum chromodynamics
title_full_unstemmed Double-β decay matrix elements from lattice quantum chromodynamics
title_short Double-β decay matrix elements from lattice quantum chromodynamics
title_sort double β decay matrix elements from lattice quantum chromodynamics
url http://hdl.handle.net/1721.1/113348
https://orcid.org/0000-0002-1110-3633
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