Double-β decay matrix elements from lattice quantum chromodynamics

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

doi:10.1103/PhysRevD.96.054505

Title: Double- $β$ decay matrix elements from lattice quantum chromodynamics

Journal Article · Mon Sep 11 00:00:00 EDT 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.96.054505· OSTI ID:1399867

Tiburzi, Brian C. ^[1]; Wagman, Michael L. ^[2]; Winter, Frank ^[3]; Chang, Emmanuel ^[4]; Davoudi, Zohreh ^[5]; Detmold, William ^[5]; Orginos, Kostas ^[6]; Savage, Martin J. ^[4]; Shanahan, Phiala E. ^[5]

City Univ. (CUNY), NY (United States). Dept. of Physics, Graduate School and University Center
Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory, 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
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
College of William and Mary, Williamsburg, VA (United States). Dept. of Physics

A lattice quantum chromodynamics (LQCD) calculation of the nuclear matrix element relevant to the $$nn\to ppee\overline{\nu}_e\overline{\nu}_e$$ transition is described in detail, expanding on the results presented in Ref. [1]. This matrix element, which involves two insertions of the weak axial current, is an important input for phenomenological determinations of double-$$\beta$$ 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-$$\beta$$ 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-$$\beta$$ decay rates in heavy nuclei.

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

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), High Energy Physics (HEP)

Contributing Organization:: NPLQCD Collaboration

Grant/Contract Number:: PHY11-25915; PHY15-15738; AC02-05CH11231; AC05-00OR22725; SC00-10337; FG02-00ER41132; SC0011090; FG02-04ER41302; SC0010495; AC05-06OR23177; SC0010337

OSTI ID:: 1399867

Alternate ID(s):: OSTI ID: 1389119

Report Number(s):: JLAB-THY-17-2500; DOE/OR/-23177-4170; arXiv:1702.02929; PRVDAQ; TRN: US1703218

Journal Information:: Physical Review D, Vol. 96, Issue 5; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 45 works

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