The scalar radius of the pion from Lattice QCD in the continuum limit

Vera Gülpers; Georg von Hippel; Hartmut Wittig

doi:10.1140/epja/i2015-15158-0

The scalar radius of the pion from Lattice QCD in the continuum limit

Vera Gülpers, Georg von Hippel, Hartmut Wittig

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

We extend our study (Phys. Rev. D 89, 094503 (2014)) of the pion scalar radius in two-flavour lattice QCD to include two additional lattice spacings as well as lighter pion masses, enabling us to perform a combined chiral and continuum extrapolation. We find discretisation artefacts to be small for the radius, and confirm the importance of the disconnected diagrams in reproducing the correct chiral behaviour. Our final result for the scalar radius of the pion at the physical point is ⟨r2⟩πs=0.600±0.052 fm2, corresponding to a value of ℓ¯4=4.54±0.30 for the low-energy constant ℓ¯4 of NLO chiral perturbation theory.

Original language	English
Article number	158
Number of pages	4
Journal	European Physical Journal A
Volume	51
DOIs	https://doi.org/10.1140/epja/i2015-15158-0
Publication status	Published - 9 Dec 2015

Keywords

hep-lat
hep-ph

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title = "The scalar radius of the pion from Lattice QCD in the continuum limit",

abstract = "We extend our study (Phys. Rev. D 89, 094503 (2014)) of the pion scalar radius in two-flavour lattice QCD to include two additional lattice spacings as well as lighter pion masses, enabling us to perform a combined chiral and continuum extrapolation. We find discretisation artefacts to be small for the radius, and confirm the importance of the disconnected diagrams in reproducing the correct chiral behaviour. Our final result for the scalar radius of the pion at the physical point is ⟨r2⟩πs=0.600±0.052 fm2, corresponding to a value of ℓ¯4=4.54±0.30 for the low-energy constant ℓ¯4 of NLO chiral perturbation theory.",

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author = "Vera G{\"u}lpers and Hippel, {Georg von} and Hartmut Wittig",

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T1 - The scalar radius of the pion from Lattice QCD in the continuum limit

AU - Gülpers, Vera

AU - Hippel, Georg von

AU - Wittig, Hartmut

N1 - 4 pages, 4 figures, uses svjour.cls

PY - 2015/12/9

Y1 - 2015/12/9

N2 - We extend our study (Phys. Rev. D 89, 094503 (2014)) of the pion scalar radius in two-flavour lattice QCD to include two additional lattice spacings as well as lighter pion masses, enabling us to perform a combined chiral and continuum extrapolation. We find discretisation artefacts to be small for the radius, and confirm the importance of the disconnected diagrams in reproducing the correct chiral behaviour. Our final result for the scalar radius of the pion at the physical point is ⟨r2⟩πs=0.600±0.052 fm2, corresponding to a value of ℓ¯4=4.54±0.30 for the low-energy constant ℓ¯4 of NLO chiral perturbation theory.

AB - We extend our study (Phys. Rev. D 89, 094503 (2014)) of the pion scalar radius in two-flavour lattice QCD to include two additional lattice spacings as well as lighter pion masses, enabling us to perform a combined chiral and continuum extrapolation. We find discretisation artefacts to be small for the radius, and confirm the importance of the disconnected diagrams in reproducing the correct chiral behaviour. Our final result for the scalar radius of the pion at the physical point is ⟨r2⟩πs=0.600±0.052 fm2, corresponding to a value of ℓ¯4=4.54±0.30 for the low-energy constant ℓ¯4 of NLO chiral perturbation theory.

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KW - hep-ph

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DO - 10.1140/epja/i2015-15158-0

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VL - 51

JO - European Physical Journal A: Hadrons and Nuclei

JF - European Physical Journal A: Hadrons and Nuclei

SN - 1434-6001

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