Electromagnetic form factor of pion from N f = 2 + 1 dynamical flavor QCD

Nguyen, Oanh T. K.; Ishikawa, Ken-ichi; Ukawa, A.; Ukita, N.

doi:10.1007/jhep04(2011)122

Cited by 31 publications

(30 citation statements)

References 20 publications

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“…In our study we find that the statistical errors can be reduced to 2.1% -4.6% at the physical point. At m π ≈ 340 MeV, we obtain a sub-percent statistical uncertainty 0.8%, which is about 6 -13 times smaller than that from the previous calculations at the similar pion masses [9][10][11][12][13][14].…”

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confidence: 58%

Lattice QCD calculation of the pion charge radius using a model-independent method

Feng

Jin

2020

Phys. Rev. D

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We use a method to calculate the hadron's charge radius without model-dependent momentum extrapolations. The method does not require the additional quark propagator inversions on the twisted boundary conditions or the computation of the momentum derivatives of quark propagators and thus is easy to implement. We apply this method to the calculation of pion charge radius ⟨r 2 π ⟩. For comparison, we also determine ⟨r 2 π ⟩ with the traditional approach of computing the slope of the form factors. The new method produces results consistent with those from the traditional method and with statistical errors 1.5 -1.9 times smaller. For the four gauge ensembles at the physical pion masses, the statistical errors of ⟨r 2 π ⟩ range from 2.1% to 4.6% by using ≲ 50 configurations. For the ensemble at mπ ≈ 340 MeV, the statistical uncertainty is even reduced to a sub-percent level.

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contrasting

confidence: 58%

Lattice QCD calculation of the pion charge radius using a model-independent method

Feng

Jin

2020

Phys. Rev. D

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“…Set Z ss V 1 1.3892(15) 2 1.3218(7) 3 1.3179(7) 4 1.2516 (9) tion, made gauge-invariant by the includion of an APEsmeared gauge link. The values for Z V show the expected qualitative behaviour, slowly falling towards 1 on finer lattices.…”

Section: Discussion/conclusionmentioning

confidence: 99%

Pseudoscalar meson electromagnetic form factor at high Q2 from full lattice QCD

et al. 2017

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We give an accurate determination of the vector (electromagnetic) form factor, F (Q 2 ), for a light pseudoscalar meson up to squared momentum transfer Q 2 values of 6 GeV 2 for the first time from full lattice QCD, including u, d, s and c quarks in the sea at multiple values of the lattice spacing. Our results show good control of lattice discretisation and sea quark mass effects. We study a pseudoscalar meson made of valence s quarks but the qualitative picture obtained applies also to the π meson, relevant to upcoming experiments at Jefferson Lab. We find that Q 2 F (Q 2 ) becomes flat in the region between Q 2 of 2 GeV 2 and 6 GeV 2 , with a value well above that of the asymptotic perturbative QCD expectation, but well below that of the vector-meson dominance pole form appropriate to low Q 2 values. Our calculations show that we can reach higher Q 2 values in future to shed further light on where the perturbative QCD result emerges.

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“…The reasons to use (22) in our calculation are twofold: First, we use the all-to-all propagator [48] in our calculation.…”

Section: Lattice Setupmentioning

confidence: 99%

Timelike pion form factor in lattice QCD

et al. 2015

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We perform a nonperturbative lattice calculation of the complex phase and modulus of the pion form factor in the timelike momentum region using the finite-volume technique. We use two ensembles of 2 + 1-flavor overlap fermion at pion masses m π = 380 and 290 MeV. By calculating the I = 1 correlators in the center-of-mass and three moving frames, we obtain the form factor at ten different values of the timelike momentum transfer around the vector resonance. We compare the results with the phenomenological model of Gounaris-Sakurai and its variant.

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Electromagnetic form factor of pion from N f = 2 + 1 dynamical flavor QCD

Cited by 31 publications

References 20 publications

Lattice QCD calculation of the pion charge radius using a model-independent method

Lattice QCD calculation of the pion charge radius using a model-independent method

Pseudoscalar meson electromagnetic form factor at high Q2 from full lattice QCD

Timelike pion form factor in lattice QCD

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