Octet baryon isovector charges from 
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 lattice QCD

Bali, Gunnar S.; Collins, Sara; Heybrock, Simon; Löffler, Marius; Rödl, Rudolf; Söldner, Wolfgang; Weishäupl, Simon; ,

doi:10.1103/physrevd.108.034512

Cited by 14 publications

(4 citation statements)

References 137 publications

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“…Extensive calculations of the AVFF are being carried out by at least the following nine lattice QCD collaborations: PNDME [19], RQCD [24,29], ETMC [23], NME [27], Mainz [26], CalLAT [16], PACS [25,40], LHP+RBC+UKQCD [41], and Fermilab [31]. As shown in Sections 3 and 2.5, we now have results to within 10% precision.…”

Section: Discussionmentioning

confidence: 69%

“…Here, m µ is the muon mass, Q * 2 = 0.88m 2 µ is the energy scale of muon capture, and F π = 92.9 MeV is the pion decay constant. A ⟩, g * P , and g πNN from recent calculations: PNDME 23 [19], RQCD [24,29], ETMC [28], PACS [25,40], Mainz [26], and NME [27]. Results for g u−d A are in the MS scheme at scale 2 GeV.…”

Section: Comparison Of Charges Obtained By Various Lattice Collaborat...mentioning

confidence: 99%

“…The current status of the results for these nucleon charges has been reviewed by the Flavor Lattice Averaging Group (FLAG) in 2019 and 2021 [21,22]). Including results post FLAG 2021 [23][24][25][26][27], the values from the various calculations with 2+1-and 2+1+1-flavors of sea quarks lie in the ranges…”

Section: Introductionmentioning

confidence: 99%

“…The plots in Figure 7 provide two comparisons. In the panels on the left, the physical point results from the RQCD [24,29], ETMC [23], NME [27], and Mainz [26] collaborations are compared against those from the PNDME [19]. On the right, they are overlaid and compared to the phenomenological extraction from the old neutrino-deuterium bubble chamber data [20].…”

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confidence: 99%

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Isovector Axial Charge and Form Factors of Nucleons from Lattice QCD

Gupta

2024

Universe

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A survey of the calculations of the isovector axial vector form factor of the nucleon using lattice QCD is presented. Attention is paid to statistical and systematic uncertainties, in particular those due to excited state contributions. Based on a comparison of results from various collaborations, a case is made that lattice results are consistent within 10%. A similar level of uncertainty is in the axial charge gAu−d, the mean squared axial charge radius ⟨rA2⟩, the induced pseudoscalar charge gP∗, and the pion–nucleon coupling gπNN. Even with the current methodology, a significant reduction in errors is expected over the next few years with higher statistics data on more ensembles closer to the physical point. Lattice QCD results for the form factor GA(Q2) are compatible with those obtained from the recent MINERνA experiment but lie 2–3σ higher than the phenomenological extraction from the old ν–deuterium bubble chamber scattering data for Q2>0.3 GeV2. Current data show that the dipole ansatz does not have enough parameters to fit the form factor over the range 0≤Q2≤1 GeV2, whereas even a z2 truncation of the z expansion or a low order Padé are sufficient. Looking ahead, lattice QCD calculations will provide increasingly precise results over the range 0≤Q2≤1 GeV2, and MINERνA-like experiments will extend the range to Q2∼2 GeV2 or higher. Nevertheless, improvements in lattice methods to (i) further control excited state contributions and (ii) extend the range of Q2 are needed.

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