Iso-vector and Iso-scalar Tensor Charges of the Nucleon from Lattice QCD

Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Cohen, Saul; Gupta, Rajan; Joseph, Anosh; Lin, Huey-Wen; Yoon, Boram

doi:10.48550/arxiv.1506.06411

Cited by 18 publications

(34 citation statements)

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“…5 with phenomenological analyses [98,99] that benchmark a proposed JLab experiment [97] and results obtained using numerous other methods [100][101][102][103][104][105][106][107][108]. Evidently, our predictions match, within errors, the most recent results obtained using lattice-QCD [100,101], which appear at FIG. 5: Flavour separation of the proton's tensor charge: "1" -illustration of anticipated accuracy in planned JLab experiment [97], with central values based on the analysis in Ref.…”

Section: Dynamicsupporting

confidence: 84%

“…( 65) are compared in Fig. 5 with phenomenological analyses [98,99] that benchmark a proposed JLab experiment [97] and results obtained using numerous other methods [100][101][102][103][104][105][106][107][108]. Evidently, our predictions match, within errors, the most recent results obtained using lattice-QCD [100,101], which appear at FIG.…”

Section: Dynamicsupporting

confidence: 68%

“…[20], drawn from the lower panel of Table IV and evolved to ζ2; "6-14" -estimates from Refs. [100][101][102][103][104][105][106][107][108], respectively. The bands drawn from "4"-"7" are described in connection with Eq.…”

Section: Dynamicmentioning

confidence: 99%

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Contact-interaction Faddeev equation and, inter alia, proton tensor charges

Xu,

Chen,

Cloet

et al. 2015

Preprint

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A confining, symmetry-preserving, Dyson-Schwinger equation treatment of a vector ⊗ vector contact interaction is used to formulate Faddeev equations for the nucleon and ∆-baryon in which the kernel involves dynamical dressed-quark exchange and whose solutions therefore provide momentumdependent Faddeev amplitudes. These solutions are compared with those obtained in the static approximation and with a QCD-kindred formulation of the Faddeev kernel. They are also used to compute a range of nucleon properties, amongst them: the proton's σ-term; the large Bjorken-x values of separate ratios of unpolarised and longitudinally-polarised valence u-and d-quark parton distribution functions; and the proton's tensor charges, which enable one to directly determine the effect of dressed-quark electric dipole moments (EDMs) on neutron and proton EDMs.

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Section: Dynamicsupporting

confidence: 84%

Section: Dynamicsupporting

confidence: 68%

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Contact-interaction Faddeev equation and, inter alia, proton tensor charges

Xu,

Chen,

Cloet

et al. 2015

Preprint

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“…The methodology for the lattice QCD calculations of the various matrix elements within the nucleon is well developed for most of these quantities [1][2][3][4][5]. Generation of background gauge configurations with (2+1) or (2+1+1) flavors is now standard.…”

Section: Introductionmentioning

confidence: 99%

Controlling excited-state contamination in nucleon matrix elements

et al. 2016

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We present a detailed analysis of methods to reduce statistical errors and excited-state contamination in the calculation of matrix elements of quark bilinear operators in nucleon states. All the calculations were done on a 2 þ 1-flavor ensemble with lattices of size 32 3 × 64 generated using the rational hybrid Monte Carlo algorithm at a ¼ 0.081 fm and with M π ¼ 312 MeV. The statistical precision of the data is improved using the all-mode-averaging method. We compare two methods for reducing excited-state contamination: a variational analysis and a 2-state fit to data at multiple values of the source-sink separation t sep . We show that both methods can be tuned to significantly reduce excited-state contamination and discuss their relative advantages and cost effectiveness. A detailed analysis of the size of source smearing used in the calculation of quark propagators and the range of values of t sep needed to demonstrate convergence of the isovector charges of the nucleon to the t sep → ∞ estimates is presented.

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“…CP violating interactions contribute largely to the quark EDM. The dependence of the neutron EDM on the quark EDM, 𝑑 𝑞 , is related to the quark tensor charges, 𝛿𝑞, by [5][6][7]:…”

Section: Introductionmentioning

confidence: 99%

Tensor Charges and their Impact on Physics Beyond the Standard Model

Smail¹,

Horsley²,

Nakamura³

et al. 2021

Preprint

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The nucleon tensor charge, g 𝑇 , is an important quantity in the search for beyond the Standard Model tensor interactions in neutron and nuclear 𝛽-decays as well as the contribution of the quark electric dipole moment (EDM) to the neutron EDM. We present results from the QCDSF/UKQCD/CSSM collaboration for the tensor charge, 𝑔 𝑇 , using lattice QCD methods and the Feynman-Hellmann theorem. We use a flavour symmetry breaking method to systematically approach the physical quark mass using ensembles that span three lattice spacings.

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Iso-vector and Iso-scalar Tensor Charges of the Nucleon from Lattice QCD

Cited by 18 publications

References 0 publications

Contact-interaction Faddeev equation and, inter alia, proton tensor charges

Contact-interaction Faddeev equation and, inter alia, proton tensor charges

Controlling excited-state contamination in nucleon matrix elements

Tensor Charges and their Impact on Physics Beyond the Standard Model

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