Precise determination of the I = 2 ππ scattering length from mixed-action lattice QCD

Precise determination of the I = 2 ππ scattering length from mixed-action lattice QCD
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DOI:
10.1103/physrevd.77.014505
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发表时间:
2007-06
期刊:
影响因子:
5
通讯作者:
S. Beane;T. Luu;K. Orginos;A. Parreño;M. Savage;A. Torok;A. Walker-Loud
S. Beane;T. Luu;K. Orginos;A. Parreño;M. Savage;A. Torok;A. Walker-Loud
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
S. Beane;T. Luu;K. Orginos;A. Parreño;M. Savage;A. Torok;A. Walker-Loud

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The $I=2$ $\ensuremath{\pi}\ensuremath{\pi}$ scattering length is calculated in fully dynamical lattice QCD with domain-wall valence quarks on the asqtad-improved coarse MILC configurations (with fourth-rooted staggered sea quarks) at four light-quark masses. Two- and three-flavor mixed-action chiral perturbation theory at next-to-leading order is used to perform the chiral and continuum extrapolations. At the physical charged pion mass, we find ${m}_{\ensuremath{\pi}}{a}_{\ensuremath{\pi}\ensuremath{\pi}}^{I=2}=\ensuremath{-}0.043\text{ }30\ifmmode\pm\else\textpm\fi{}0.000\text{ }42$, where the error bar combines the statistical and systematic uncertainties in quadrature.
The $I=2$ $\ensuremath{\pi}\ensuremath{\pi}$ scattering length is calculated in fully dynamical lattice QCD with domain-wall valence quarks on the asqtad-improved coarse MILC configurations (with fourth-rooted staggered sea quarks) at four light-quark masses. Two- and three-flavor mixed-action chiral perturbation theory at next-to-leading order is used to perform the chiral and continuum extrapolations. At the physical charged pion mass, we find ${m}_{\ensuremath{\pi}}{a}_{\ensuremath{\pi}\ensuremath{\pi}}^{I=2}=\ensuremath{-}0.043\text{ }30\ifmmode\pm\else\textpm\fi{}0.000\text{ }42$, where the error bar combines the statistical and systematic uncertainties in quadrature.