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- W2613060476 abstract "A lattice quantum chromodynamics (LQCD) calculation of the nuclear matrix element relevant to the $nnensuremath{rightarrow}ppee{overline{ensuremath{nu}}}_{e}{overline{ensuremath{nu}}}_{e}$ 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-$ensuremath{beta}$ 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-$ensuremath{beta}$ 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-$ensuremath{beta}$ decay rates in heavy nuclei." @default.
- W2613060476 created "2017-05-19" @default.
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- W2613060476 date "2017-09-11" @default.
- W2613060476 modified "2023-10-17" @default.
- W2613060476 title "Double- <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>β</mml:mi></mml:math> decay matrix elements from lattice quantum chromodynamics" @default.
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- W2613060476 doi "https://doi.org/10.1103/physrevd.96.054505" @default.
- W2613060476 hasPublicationYear "2017" @default.
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