Double-
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 decay matrix elements from lattice quantum chromodynamics

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

doi:10.1103/physrevd.96.054505

Cited by 80 publications

(159 citation statements)

References 91 publications

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“…This will become a more subtle issue for future calculations with quark masses near the physical values, as discussed in Ref. [7].…”

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confidence: 99%

“…In what follows, the lattice QCD and EFTðπÞ calculations and the analysis of the axial polarizability are summarized, with complete details presented in a subsequent paper [7]. The potential for future lattice QCD calculations to provide the necessary input to constrain many-body calculations of 2νββ and 0νββ matrix elements, and thereby reduce the uncertainties in calculated ββ-decay rates, is also discussed.…”

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confidence: 99%

“…In these expressions, the first uncertainties arise from statistical sampling and from systematic effects from fitting choices and deviations from Wigner symmetry [7]. The second uncertainties encompass differences between analysis methods.…”

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confidence: 99%

“…The parameter H 2;S is the shortdistance two-nucleon, two-axial current couplingh 2;S of Eq. (5), redefined and rescaled to capture the effects beyond the deuteron pole and two-nucleon states at energies below Λ [7]. This expression depends on both the long-distance contribution from the deuteron pole (the first term) and the short-distance contributions encapsulated in the second and third terms.…”

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confidence: 99%

“…it is straightforward, utilizing the isospin symmetry of the calculation, to show that [7] a 2R ðtÞ ¼ a 2 RðtÞ − jhppjJ þ 3 jdij 2 Δ…”

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confidence: 99%

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Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- β Decay Phenomenology

et al. 2017

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The potential importance of short-distance nuclear effects in double-β decay is assessed using a lattice QCD calculation of the nn → pp transition and effective field theory methods. At the unphysical quark masses used in the numerical computation, these effects, encoded in the isotensor axial polarizability, 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-β decays should incorporate this previously neglected contribution if they are to provide reliable guidance for next-generation neutrinoless double-β decay searches. The prospects of constraining the isotensor axial polarizabilities of nuclei using lattice QCD input into nuclear many-body calculations are discussed. DOI: 10.1103/PhysRevLett.119.062003 Double-β (ββ) decays of nuclei are of significant phenomenological interest; they probe fundamental symmetries of nature and admit both tests of the standard model (SM) and investigations of physics beyond it [1]. Consequently, these decays are the subject of intense experimental study, and next-generation ββ-decay experiments are currently being planned [2][3][4]. At present, both the robust prediction of the efficacy of different detector materials, necessary for optimal design sensitivity, and the robust interpretation of the highly sought-after neutrinoless ββ-decay (0νββ) mode are impeded by the lack of knowledge of second-order weak-interaction nuclear matrix elements. These quantities bear uncertainties from nuclear modeling that are both significant and difficult to quantify [5]. Controlling the nuclear uncertainties in ββ-decay matrix elements by connecting the nuclear many-body methods to the underlying parameters of the SM is a critical task for nuclear theory.In this Letter, lattice QCD and pionless effective field theory [EFTðπ Þ)] are used to investigate the strong-interaction uncertainties in the second-order weak transition of the two-nucleon system in the SM by determining the threshold transition matrix element for nn → pp. This matrix element receives long-distance contributions from the deuteron intermediate state whose size is governed by the squared magnitude of the hppjJ þ μ jdi matrix element of the axial current that has been recently calculated using lattice quantum chromodynamics (LQCD) [6]. In that work, the two-body contribution to the matrix element (i.e., that beyond the coupling of the axial current to a single nucleon) was constrained, quantifying the effective modification (quenching) of the axial charge of the nucleon from two-body effects. Here, it is highlighted that the nn → pp matrix element receives additional short-distance contributions beyond those in jhppjJ þ μ jdij 2 arising from the two axial currents being separated by r < Λ −1 ∼ m −1 π [where Λ is the cutoff scale of EFTðπ Þ], referred to herein as the isotensor axial polarizability. Usi...

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“…This will become a more subtle issue for future calculations with quark masses near the physical values, as discussed in Ref. [7].…”

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

“…it is straightforward, utilizing the isospin symmetry of the calculation, to show that [7] a 2R ðtÞ ¼ a 2 RðtÞ − jhppjJ þ 3 jdij 2 Δ…”

mentioning

confidence: 99%

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Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- β Decay Phenomenology

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Light Nuclei from Lattice QCD: Spectrum, Structure and Reactions

Davoudi

2020

Recent Progress in Few-Body Physics

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Electroweak Currents from Chiral Effective Field Theory

2021

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Since the pioneering work of Weinberg, Chiral Effective Field Theory (χ EFT) has been widely and successfully utilized in nuclear physics to study many-nucleon interactions and associated electroweak currents. Nuclear χ EFT has now developed into an intense field of research and is applied to study light to medium mass nuclei. In this contribution, we focus on the development of electroweak currents from χ EFT and present applications to selected nuclear electroweak observables.A major objective of nuclear theory is to explain the structure and dynamics of nuclei and their interaction with electroweak probes in a fully microscopic approach. In such an approach, nucleons interact with each other via many-body (primarily, two-and three-nucleon) interactions, and with external electroweak probes, such as electrons, neutrinos, and photons, via many-body currents describing the couplings of these probes to individual nucleons and many-body clusters of correlated nucleons. Over the past sixty years, several highly accurate phenomenological interactions [1,2] have been developed and successfully applied to study nuclear properties. Despite this success, phenomenological theories are hardly improvable; moreover, their connection to the underlying theory ultimately governing nuclear dynamics, that is Quantum Chromodynamics (QCD), is ambiguous. Chiral effective field theory (χ EFT), formulated by Weinberg in the Nineties [3-5], resolves these shortcomings.χ EFT is a low-energy approximation of QCD whose degrees of freedom are bound states of QCD (e.g., pions, protons, neutrons, etc.). It exploits the symmetries exhibited by QCD in the low-energy regime, in particular chiral symmetry, to constrain and determine the interactions of pions among themselves and with other baryons. The pion couples to these particles by powers of its momentum Q and mass, and the Lagrangians describing these interactions can be expanded in powers of Q/ , where ∼ 1 GeV represents the chiralsymmetry breaking scale and characterizes the convergence of the expansion. Therefore, the validity of the theory is confined to kinematic regions where the constraint Q is realized. The coefficients of the chiral expansion, or low-energy constants (LECs), are unknown and need to be fixed by comparison with experimental data or calculated by nonperturbative QCD computational methods such as Lattice QCD [7][8][9][10][11][12][13][14][15][16][17].This extremely powerful approach provides an expansion of the Lagrangians in powers of a small momentum as opposed to an expansion in the strong coupling constant, restoring de facto the applicability of pertur-SP and GBK are supported by the U.

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Double- β decay matrix elements from lattice quantum chromodynamics

Cited by 80 publications

References 91 publications

Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- β Decay Phenomenology

Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- β Decay Phenomenology

Light Nuclei from Lattice QCD: Spectrum, Structure and Reactions

Electroweak Currents from Chiral Effective Field Theory

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