Nucleon axial charge in lattice QCD with controlled errors

Capitani, Stefano; Morte, Michele Della; Hippel, Georg von; Jäger, Benjamin; Jüttner, Andreas; Knippschild, Bastian; Meyer, Harvey B.; Wittig, Hartmut

doi:10.1103/physrevd.86.074502

Cited by 145 publications

(175 citation statements)

References 48 publications

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“…For N f = 2 we include data from the BGR [89],ETMC [84], Mainz [90] and QCDSF [49] collaborations, and for N f = 2 + 1 from the BMW [60], HSC [59], LHPC [91], MILC [92], NPLQCD [62], PACS [57] and RBCUK-QCD [64] collaborations. In both cases we extract the LECs and obtain the σ πN value by using the HF theorem.…”

Section: Resultsmentioning

confidence: 99%

“…Nucleon mass up to order O p 4 : fits to N f = 2 lattice QCD data We use Eq. (18) to fit the lQCD data for the N f = 2 ensembles of the BGR, ETMC, Mainz and QCDSF collaborations [49,84,89,90]. The lQCD data are given in terms of the dimensionless products aM π and aM N where the scale is fixed in different ways: with the experimental Ω − mass in Ref.…”

Section: Resultsmentioning

confidence: 99%

“…The lQCD data are given in terms of the dimensionless products aM π and aM N where the scale is fixed in different ways: with the experimental Ω − mass in Ref. [90] and with HBχPT or IR-χPT chiral extrapolations of M N in Refs. [49,84].…”

Section: Resultsmentioning

confidence: 99%

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Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD data

et al. 2013

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The pion-mass dependence of the nucleon mass within the covariant SU (2) baryon chiral perturbation theory both without and with explicit ∆ (1232) degrees of freedom up to order p 4 is investigated. By fitting to a comprehensive set of lattice QCD data in 2 and 2+1 flavors from several collaborations, for pion masses Mπ < 420 MeV, we obtain low energy constants of natural size and compatible with pion nucleon scattering data. Our results are consistent with the rather linear pion-mass dependence showed by lattice QCD. In the 2 flavor case we have also performed simultaneous fits to nucleon mass and σπN data. As a result of our analysis, which encompasses the study of finite volume corrections and discretization effects, we report a value of σπN = 41(5)(4) MeV in the 2 flavor case and σπN = 52(3)(8) MeV for 2+1 flavors, where the inclusion of the ∆ (1232) resonance changes the results by around 9 MeV. In the 2 flavor case we are able to set independently the scale for lQCD data, given by a Sommer scale of r0 = 0.493(23) fm.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

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Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD data

et al. 2013

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“…Most attempts have resulted in values ∼10% below the experimental number for the axial-vector coupling [1][2][3][4][5][6][7][8], while a few claim that their results could be consistent with experiment [9][10][11][12]. For the quark momentum fraction x u−d , overestimation by ∼20 -30% is common in most of the calculations [3,7,[13][14][15] except [8].…”

Section: Introductionmentioning

confidence: 99%

Stochastic method with low mode substitution for nucleon isovector matrix elements

et al. 2016

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We introduce a stochastic method with low-mode substitution to evaluate the connected threepoint functions. The isovector matrix elements of the nucleon for the axial-vector coupling g 3 A , scalar couplings g 3 S and the quark momentum fraction x u−d are calculated with overlap fermion on 2+1 flavor domain-wall configurations on a 24 3 ×64 lattice at mπ = 330 MeV with lattice spacing a = 0.114 fm.

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“…For recent numerical investigations of the nucleon spin, and related matrix elements, see Refs. [8][9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Disconnected contributions to the spin of the nucleon

Chambers

Horsley²,

Schiller

et al. 2015

Phys. Rev. D

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The spin decomposition of the proton is a long-standing topic of much interest in hadronic physics. Lattice QCD has had much success in calculating the connected contributions to the quark spin. However complete calculations, which necessarily involve gluonic and strange-quark contributions, still present some challenges. These "disconnected" contributions typically involve small signals hidden against large statistical backgrounds and rely on computationally intensive stochastic techniques. In this work we demonstrate how a Feynman-Hellmann approach may be used to calculate such quantities, by measuring shifts in the proton energy arising from modifications to the QCD action. We find a statistically significant nonzero result for the disconnected quark spin contribution to the proton of about −5% at a pion mass of 470 MeV.

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Nucleon axial charge in lattice QCD with controlled errors

Cited by 145 publications

References 48 publications

Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD data

Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD data

Stochastic method with low mode substitution for nucleon isovector matrix elements

Disconnected contributions to the spin of the nucleon

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