Extraction of isoscalar 
<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>
 phase shifts from lattice QCD

Guo, Dehua; Alexandru, Andrei; Molina, R.; Mai, Maxim; Döring, Michael

doi:10.1103/physrevd.98.014507

Cited by 77 publications

(78 citation statements)

References 60 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The cutoff in the angular momentum space is justified by the smallness of higher partial waves in all channels. Additionally, note that the factor p on both sides of the first equation makes it well-defined below ππ threshold, where the lattice QCD result also exist, see also previous studies [38,40,51] of this channel.…”

Section: B Finite Volume Spectrummentioning

confidence: 55%

“…The amplitude T Il 4 involves in the two-flavor case two low-energy constants (LECs)l 1 andl 2 . Two additional low-energy constants l 3 ,l 4 enter the NLO chiral amplitude when replacing the above mass and decay constants by their physical values 7)) to all lattice QCD results [40,49].…”

Section: A Infinite Volume Spectrummentioning

confidence: 99%

“…The IAM describes different isospin channels within the same approach; the fit parameters in form of lowenergy constants, pion masses, and pion decay constants * maximmai@gwu.edu † chrisculver@email.gwu.edu ‡ aalexan@gwu.edu § doring@gwu.edu ¶ fxlee@gwu.edu enter different channels and connect them. Here, for the first time we apply this method to lattice QCD data in different isospin channels determined from the same ensembles [27,40,49], thus minimizing the effect of data inconsistencies.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Cross-channel study of pion scattering from lattice QCD

et al. 2019

Self Cite

View full text Add to dashboard Cite

We use a chiral model for pion interactions, in the inverse amplitude formalism, to perform a simultaneous analysis of lattice QCD results for pion-pion scattering in all three isospin channels. The input is the finite-volume two-pion spectrum computed using lattice QCD from six ensembles on lattices elongated in one of the spatial dimensions. A two-flavor dynamical lattice QCD action is used with two quark masses corresponding to a pion mass of 315 MeV and 224 MeV. The spectrum in the elastic region is subjected to a global fit which takes into account full correlations across isospin, pion mass and decay constant. The parameters from the fit are used to perform a chiral extrapolation to the physical point. The cross-channel fit results in a more precise determination of the parameters of the model when compared with single channel fits. We obtain, mπa I=0 0 = 0.2132(9), and mπa I=2 0 = 0.0433(2) as well as mσ = 443(3) − i221(6) MeV and mρ = 724(4) − i67(1) MeV. Several aspects of scale setting and consistency with previous analyses of lattice QCD results are discussed as well.

show abstract

Section: B Finite Volume Spectrummentioning

confidence: 55%

Section: A Infinite Volume Spectrummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Cross-channel study of pion scattering from lattice QCD

et al. 2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…Lattice results for this state as a scattering resonance are beginning to appear: see Ref. [105][106][107]. Their data is at (M P S /M V ) 2 = 0.1 − 0.2 and the state ranges in mass from 460 to 760 MeV.…”

Section: Strong Decaysmentioning

confidence: 99%

Repurposing lattice QCD results for composite phenomenology

DeGrand

Neil

2020

Phys. Rev. D

View full text Add to dashboard Cite

A number of proposed extensions of the Standard Model include new strongly interacting dynamics, in the form of SU (N ) gauge fields coupled to various numbers of fermions. Often, these extensions allow N = 3 as a plausible choice, or even require N = 3, such as in twin Higgs models, where the new dynamics is a "copy" of QCD. However, the fermion masses in such a sector are typically different from (often heavier than) the ones of real-world QCD, relative to the confinement scale. Many of the strong interaction masses and matrix elements for SU (3) at heavy fermion masses have already been computed on the lattice, typically as a byproduct of the approach to the physical point of real QCD. We provide a summary of these relevant results for the phenomenological community.

show abstract

“…Recently, R. A. Briceno investigated the isoscalar ππ scattering and σ meson resonance [27]. Guo et al studied the elastic phase-shifts for ππ scattering in the scalar and isoscalar channel [28].…”

Section: Introductionmentioning

confidence: 99%

I=0 ππ s -wave scattering length from lattice QCD

Chen

2018

Phys. Rev. D

View full text Add to dashboard Cite

We deliver lattice results for the I ¼ 0 ππ elastic s-wave scattering length calculated with the MILC N f ¼ 3 flavors of the Asqtad-improved staggered fermions. The scattering phase shifts are determined by Lüscher's formula from the energy-eigenvalues of ππ systems at one center of mass frame and four moving frames using the moving wall source technique. Our measurements are good enough to resolve the scattering length a and effective range r, moreover, it allows us to roughly estimate the shape parameter P. Using our lattice results, the scattering length a and effective range r at the physical point are extrapolated by chiral perturbation theory. Our results are reasonably consistent with the Roy equation determinations and the newer experimental data. Numerical computations are carried out with two MILC fine (a ≈ 0.09 fm, L 3 × T ¼ 40 3 × 96) and one MILC superfine (a ≈ 0.06 fm, L 3 × T ¼ 48 3 × 144) lattice ensembles at three pion masses of m π ∼ 247 MeV, 249 MeV, and 314 MeV, respectively.

show abstract

Extraction of isoscalar ππ phase shifts from lattice QCD

Cited by 77 publications

References 60 publications

Cross-channel study of pion scattering from lattice QCD

Cross-channel study of pion scattering from lattice QCD

Repurposing lattice QCD results for composite phenomenology

I=0 ππ s -wave scattering length from lattice QCD

Contact Info

Product

Resources

About