Precise determination of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi><mml:mi>π</mml:mi></mml:math>scattering length from mixed-action lattice QCD

Beane, Silas R.; Luu, Thomas; Orginos, Konstantinos; Parreño, A.; Savage, Martin J.; Torok, Aaron; Walker-Loud, André

doi:10.1103/physrevd.77.014505

Cited by 102 publications

(44 citation statements)

References 90 publications

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“…[56] denoted as CGL. For the lattice results we have decided to include only direct determinations for which the chiral extrapolation has been performed: CP-PACS [57], NPLQCD (2006) [52], NPLQCD (2008) [30], ETM (2013) [31], this work denoted as ETM (2015), Yagi et al [58], Fu [59] and PACS-CS [60]. We quote statistical and -where available -systematic uncertainties separately.…”

Section: Discussionmentioning

confidence: 99%

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Hadron-hadron interactions from N f = 2 + 1 + 1 lattice QCD: isospin-2 ππ scattering length

Helmes

Jost

Knippschild

et al. 2015

J. High Energ. Phys.

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We present results for the I = 2 ππ scattering length using N f = 2 + 1 + 1 twisted mass lattice QCD for three values of the lattice spacing and a range of pion mass values. Due to the use of Laplacian Heaviside smearing our statistical errors are reduced compared to previous lattice studies. A detailed investigation of systematic effects such as discretisation effects, volume effects, and pollution of excited and thermal states is performed. After extrapolation to the physical point using chiral perturbation theory at NLO we obtain M π a 0 = −0.0442(2) stat ( +4 −0 ) sys .

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Section: Discussionmentioning

confidence: 99%

“…Consequently, it has been computed in lattice QCD previously [30][31][32][33][34] using N f = 2 or N f = 2 + 1 dynamical fermions, for a recent review see ref. [35].…”

Section: Jhep09(2015)109mentioning

confidence: 99%

Hadron-hadron interactions from N f = 2 + 1 + 1 lattice QCD: isospin-2 ππ scattering length

Helmes

Jost

Knippschild

et al. 2015

J. High Energ. Phys.

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“…Around the time of the publication in [1], several lattice calculations were published providing results for the pion decay constant f [8][9][10] and also for the scalar isospin-2 scattering length a 20 [9]. What we will show next is that, even though these lattice results were not used as input in the calculations of [1], they are fairly well described within our one-loop formalism.…”

Section: A Comparison With Latticementioning

confidence: 95%

Chiral extrapolation of light resonances from one and two-loop unitarized chiral perturbation theory versus lattice results

2010

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We study the pion mass dependence of the ð770Þ and f 0 ð600Þ masses and widths from one and twoloop unitarized chiral perturbation theory (ChPT). We show the consistency of one-loop calculations with lattice results for the M , f , and the isospin-2 scattering length a 20 . Then, we develop and apply the modified inverse amplitude method formalism for two-loop ChPT. In contrast to the f 0 ð600Þ, the ð770Þ is rather sensitive to the two-loop ChPT parameters-our main source of systematic uncertainty. We thus provide two-loop unitarized fits constrained by lattice information on M , f , by the q " q leading 1=N c behavior of the and by existing estimates of low-energy constants. These fits yield relatively stable predictions up to m ' 300-350 MeV for the coupling and width as well as for all the f 0 ð600Þ parameters. We confirm, to two loops, the weak m dependence of the coupling and the KawarabayashiSuzuki-Riazuddin-Fayyazuddin relation, and the existence of two virtual f 0 ð600Þ poles for sufficiently high m . At two loops one of these poles becomes a bound state when m is somewhat larger than 300 MeV.

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“…We will compare the results of the different approaches later in this paper. Other studies of ππ I = 2 scattering in lattice QCD ( [23][24][25]) have largely limited themselves to the threshold behavior of the scattering amplitude in S-wave, as expressed by the scattering length.…”

Section: Introductionmentioning

confidence: 99%

S- andD-wave phase shifts in isospin-2ππscattering from lattice QCD

2012

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The isospin-2 ππ system provides a useful testing ground for determining elastic hadron scattering parameters from finite-volume spectra obtained using lattice QCD computations. A reliable determination of the excited state spectrum of two pions in a cubic box follows from variational analysis of correlator matrices constructed using a large basis of operators. A general operator construction is presented which respects the symmetries of a multi-hadron system in flight. This is applied to the case of ππ and allows for the determination of the scattering phase-shifts at a large number of kinematic points, in both S-wave and D-wave, within the elastic region. The technique is demonstrated with a calculation at a pion mass of 396 MeV, where the elastic scattering is found to be well described by a scattering length parameterisation.

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Precise determination of theI=2ππscattering length from mixed-action lattice QCD

Cited by 102 publications

References 90 publications

Hadron-hadron interactions from N f = 2 + 1 + 1 lattice QCD: isospin-2 ππ scattering length

Hadron-hadron interactions from N f = 2 + 1 + 1 lattice QCD: isospin-2 ππ scattering length

Chiral extrapolation of light resonances from one and two-loop unitarized chiral perturbation theory versus lattice results

S- andD-wave phase shifts in isospin-2ππscattering from lattice QCD

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