Isovector electromagnetic form factors of the nucleon from lattice QCD and the proton radius puzzle

Djukanovic, Dalibor; Harris, Tim; Hippel, Georg von; Junnarkar, Parikshit; Meyer, Harvey B.; Mohler, Daniel; Ottnad, Konstantin; Schulz, Tobias; Wilhelm, Jonas; Wittig, Hartmut

doi:10.1103/physrevd.103.094522

Cited by 41 publications

(45 citation statements)

References 106 publications

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“…For the statistical error of this final result the full correlation of the errors between the various observables is taken into account. We find the physical point at 𝜙 phys 2 = 0.0779 (7), 𝜙 phys 4 = 1.098 (10).…”

Section: Chiral and Continuum Extrapolationmentioning

confidence: 74%

“…The scale is set using a combination of Pion and Kaon decay constants and the flow scale 𝑡 0 [4] as an intermediate scale. The value of this intermediate scale in physical units is relevant for the precision determination of 𝛼 𝑠 [5], the 𝜂 and 𝜂 masses and decay constants [6], moments of distribution amplitudes [7,8], nucleon axial form factors [9], the proton radius [10], the Muon magnetic moment [11], and more.…”

Section: Introductionmentioning

confidence: 99%

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Scale Setting for CLS 2+1 Simulations

Straßberger¹,

Cè²,

Collins³

et al. 2021

Preprint

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We present an update of the scale setting for 𝑁 𝑓 = 2 + 1 flavor QCD using gradient flow scales and pseudo-scalar decay constants. We analyze the latest ensembles with 2 + 1 flavors of nonperturbatively improved Wilson fermions generated by CLS for improved precision. Special care is taken to correct for mistuning by measuring directly the mass derivatives of the various observables. We determine 𝑡 0 with input taken from a combination of leptonic decay rates of the Pion and the Kaon.

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Section: Chiral and Continuum Extrapolationmentioning

confidence: 74%

Section: Introductionmentioning

confidence: 99%

Scale Setting for CLS 2+1 Simulations

Straßberger¹,

Cè²,

Collins³

et al. 2021

Preprint

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“…Of particular interest in this respect are the axial charge 𝑔 𝐴 and the (mean-square) axial radius 𝑟 2 𝐴 of the nucleon. While the former is precisely (0.1% accuracy) known from cold neutron 𝛽-decay experiments yielding 𝑔 𝐴 = 1.2756 (13) [1] the latter exhibits a discrepancy between the world average results from neutrino scattering 𝑟 𝐴 = 0.666 (14) fm [2] and pion electroproduction 𝑟 𝐴 = 0.639 (10) fm [2]. The more recent result quoted by the MiniBooNE collaboration is given by 𝑟 𝐴 = 0.506(64) [3].…”

Section: Introductionmentioning

confidence: 76%

“…The scale setting has been performed with the Wilson gradient flow scale which is explicitly given by √︃ 8𝑡 phys 0 = 0.415(4) (2) fm [13]. about the lattice geometries, pion and nucleon masses (at present level of statistics) as well as the list of source-sink separations used for the nucleon 3-point correlation function (see also [14]). The ensembles with periodic boundary conditions in the time direction are marked with an asterisk.…”

Section: Lattice Setupmentioning

confidence: 99%

Isovector Axial Vector Form Factors of the Nucleon from Lattice QCD with $N_{f}=2+1$ $\mathcal O(a)$-improved Wilson Fermions

Djukanovic¹,

Hippel²,

Koponen³

et al. 2021

Preprint

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We present the analysis of isovector axial vector nucleon form factors on a set of 𝑁 𝑓 = 2 + 1 CLS ensembles with O (𝑎)-improved Wilson fermions and Lüscher-Weisz gauge action. The set of ensembles covers a pion mass range of 130 − 353 MeV with lattice spacings between 0.05 fm and 0.09 fm. In particular, the set includes a 𝐿/𝑎 = 96 ensemble at the physical pion mass. For the purpose of the form factor extraction, we employ both the summed operator insertion method (summation method) and explicit two-state fits in order to account for excited-state contributions to the nucleon correlation functions. To describe the 𝑄 2 -behavior of the form factors, we perform 𝑧-expansion fits. Finally, we present HBChPT-inspired chiral and continuum extrapolations of the axial charge and radius.

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“…See, e.g., Ref. [10] for the state of the art of lattice QCD calculations. A dispersion theoretical approach was proposed to analyze the electromagnetic structure of the nucleon at the very beginning of experimental investigations [11,12,13], which includes all constraints from unitarity, analyticity and crossing symmetry.…”

Section: Introductionmentioning

confidence: 99%

Differential Cross Section Predictions for PRad-II from Dispersion Theory

Lin,

Hammer,

Meißner

2021

Preprint

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We predict the differential cross sections for e − p and e + p elastic scattering in the PRad-II energy region. The prediction is based on form factors obtained in our previous high-precision analysis of space-and timelike data from dispersion theory and different sets of two-photon exchange corrections. We investigate the sensitivity of the cross sections to two-photon exchange effects and find that the differences between model calculations and phenomenological extractions to two-photon corrections can not be resolved if the uncertainty in the form factors is taken into account.

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Isovector electromagnetic form factors of the nucleon from lattice QCD and the proton radius puzzle

Cited by 41 publications

References 106 publications

Scale Setting for CLS 2+1 Simulations

Scale Setting for CLS 2+1 Simulations

Isovector Axial Vector Form Factors of the Nucleon from Lattice QCD with $N_{f}=2+1$ $\mathcal O(a)$-improved Wilson Fermions

Differential Cross Section Predictions for PRad-II from Dispersion Theory

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