Extracting the electromagnetic pion form factor from QCD in a finite volume

Fukaya, Hidenori; Suzuki, Takashi

doi:10.1103/physrevd.90.114508

Cited by 5 publications

(7 citation statements)

References 37 publications

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“…Also first steps towards calculating higher n -point functions in the -regime have been taken. For instance the electromagnetic pion form factor in QCD has been calculated to NLO in the -expansion, and a way to get rid of the pion zero-momentum part has been proposed [ 292 ].…”

Section: Low-energy Constantsmentioning

confidence: 99%

Review of lattice results concerning low-energy particle physics

et al. 2017

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We review lattice results related to pion, kaon, D- and B-meson physics with the aim of making them easily accessible to the particle-physics community. More specifically, we report on the determination of the light-quark masses, the form factor , arising in the semileptonic transition at zero momentum transfer, as well as the decay constant ratio and its consequences for the CKM matrix elements and . Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of and Chiral Perturbation Theory. We review the determination of the parameter of neutral kaon mixing as well as the additional four B parameters that arise in theories of physics beyond the Standard Model. The latter quantities are an addition compared to the previous review. For the heavy-quark sector, we provide results for and (also new compared to the previous review), as well as those for D- and B-meson-decay constants, form factors, and mixing parameters. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. Finally, we review the status of lattice determinations of the strong coupling constant .

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Section: Low-energy Constantsmentioning

confidence: 99%

Review of lattice results concerning low-energy particle physics

et al. 2017

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“…Also first steps towards calculating higher n-point functions in the -regime have been taken. For instance the electromagnetic pion form factor in QCD has been calculated to NLO in the -expansion, and a way to get rid of the pion zero-momentum part has been proposed [341].…”

Section: Correlation Functions In the -Regimementioning

confidence: 99%

FLAG Review 2019

et al. 2020

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We review lattice results related to pion, kaon, D-meson, B-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $$f_+(0)$$f+(0) arising in the semileptonic $$K \rightarrow \pi $$K→π transition at zero momentum transfer, as well as the decay constant ratio $$f_K/f_\pi $$fK/fπ and its consequences for the CKM matrix elements $$V_{us}$$Vus and $$V_{ud}$$Vud. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $$SU(2)_L\times SU(2)_R$$SU(2)L×SU(2)R and $$SU(3)_L\times SU(3)_R$$SU(3)L×SU(3)R Chiral Perturbation Theory. We review the determination of the $$B_K$$BK parameter of neutral kaon mixing as well as the additional four B parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for $$m_c$$mc and $$m_b$$mb as well as those for D- and B-meson decay constants, form factors, and mixing parameters. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. We review the status of lattice determinations of the strong coupling constant $$\alpha _s$$αs. Finally, in this review we have added a new section reviewing results for nucleon matrix elements of the axial, scalar and tensor bilinears, both isovector and flavor diagonal.

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“…Finally, the effect of non-zero modes are non-negligible on our small lattice [21]. We estimate its size as 8%.…”

Section: Pos(cd15)016mentioning

confidence: 83%

“…Second, the dispersion relation may be distorted in the ε regime. By an estimate at the next-toleading order ChPT, it can be shown that a distortion of the form E(p) → √ p 2 + Z m m 2 π with Z m ∼ 2 is expected [21]. Since the relation E(p) → √ p 2 + m 2 π is used when constructing R 1 V , as given in Eq.…”

Section: Pos(cd15)016mentioning

confidence: 99%

“…Then we report on the recent progress in our JLQCD collaboration on the pion form factors. Our strategy is to use the dynamical chiral fermions, which allows us to reliably use chiral perturbation theory (ChPT) in the same form as in the continuum theory, and at the same time, automatically remove possible O(a) (a denotes the lattice spacing) errors [7,21].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Extracting (pion) form factors from finite volume lattices

Fukaya¹,

Suzuki²

2016

Proceedings of the 8th International Workshop on Chiral Dynamics — PoS(CD15)

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In lattice QCD simulations, there is a strong tendency to overestimate the form factors (and therefore, underestimate the related charge radii) of pions and other hadrons. The three major systematic in lattice QCD: finite lattice spacing, heavier pion mass, and finite volume all could contribute to the over-estimation of the form factors. Using the chiral effective theory, this can be easily understood as a distortion of the chiral logarithm. If a chiral symmetric Dirac operator is employed for lattice QCD, one has a good control of the former two, while the volume has to be small due to its high numerical cost. In this talk, we focus on the finite volume effects using chiral perturbation theory and discuss how to avoid the over-estimation of the (pion) form factors. We also present our recent lattice results with dynamical chiral fermions.

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Extracting the electromagnetic pion form factor from QCD in a finite volume

Cited by 5 publications

References 37 publications

Review of lattice results concerning low-energy particle physics

Review of lattice results concerning low-energy particle physics

FLAG Review 2019

Extracting (pion) form factors from finite volume lattices

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