Two meson systems with Ginsparg-Wilson valence quarks

Chen, Jiunn-Wei; O’Connell, Donal; Walker-Loud, André

doi:10.1103/physrevd.75.054501

Cited by 82 publications

(142 citation statements)

References 94 publications

(168 reference statements)

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“…Mixed action chiral perturbation theory reveals the presence of partially-quenched logs whose size is consistent with the observed effect [55,56], as in the quenched theory. We should note that the preliminary result obtained by LHP [29] at the same simulation parameter as our lightest point appears inconsistent with our result (see Fig.…”

Section: A Vector and Axial Chargesmentioning

confidence: 52%

Nucleon form factors with2+1flavor dynamical domain-wall fermions

et al. 2009

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We report our numerical lattice QCD calculations of the isovector nucleon form factors for the vector and axialvector currents: the vector, induced tensor, axialvector, and induced pseudoscalar form factors. The calculation is carried out with the gauge configurations generated with N f = 2+1 dynamical domain wall fermions and Iwasaki gauge actions at β = 2.13, corresponding to a cutoff a −1 = 1.73 GeV, and a spatial volume of (2.7 fm) 3 . The up and down quark masses are varied so the pion mass lies between 0.33 and 0.67 GeV while the strange quark mass is about 12 % heavier than the physical one. We calculate the form factors in the range of momentum transfers, 0.2 < q 2 < 0.75 GeV 2 . The vector and induced tensor form factors are well described by the conventional dipole forms and result in significant underestimation of the Dirac and Pauli meansquared radii and the anomalous magnetic moment compared to the respective experimental values.We show that the axialvector form factor is significantly affected by the finite spatial volume of the lattice. In particular in the axial charge, g A /g V , the finite volume effect scales with a single dimensionless quantity, m π L, the product of the calculated pion mass and the spatial lattice extent.Our results indicate that for this quantity, m π L > 6 is required to ensure that finite volume effects are below 1%.

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Section: A Vector and Axial Chargesmentioning

confidence: 52%

Nucleon form factors with2+1flavor dynamical domain-wall fermions

et al. 2009

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“…Additionally, the strangeness changing sector needs revisiting, in particular the old puzzle of nonleptonic hyperon decays. Furthermore for lattice QCD applications, the SU(4|2) partially quenched [71,72] and mixed action [73][74][75][76][77][78][79] Lagrangians should be constructed. The relevant baryon multiplets are simply generalizations of those containing one or two heavy quarks [80][81][82].…”

Section: Discussionmentioning

confidence: 99%

Hyperons in two-flavor chiral perturbation theory

2008

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We use two-flavor chiral perturbation theory to describe hyperons. We focus on the strangeness conserving sector, and, as an example, calculate hyperon masses. Convergence of this two-flavor chiral expansion for observables is improved over the three-flavor theory. The cost, however, is a larger number of low-energy constants that must be ultimately determined from lattice QCD data. A formula for the mass of the omega baryon is derived to sixth order in this expansion, and will aid lattice practitioners in scale setting or tuning the strange quark mass.

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“…The only mixed action low-energy constant ∆ mix [44] between the valence overlap fermion and sea domain-wall fermions is found to be small [48] -it shifts the pion mass at 300 MeV by a mere 16 MeV. We can safely neglect the mixed action effects since they are quite small compared to the statistical error.…”

Section: Disconnected Insertion Of Three Point Correlation Func-tionmentioning

confidence: 99%

“…12 as a To obtain a value at the physical point we must perform a chiral extrapolation. The mixed-action formula can be derived from the partially quenched expression in [43], using the simple conversion of partially quenched to mixed-action formulae described in [44,45].…”

Section: Disconnected Insertion Of Three Point Correlation Func-tionmentioning

confidence: 99%

Strangeness and charmness content of the nucleon from overlap fermions on2+1-flavor domain-wall fermion configurations

et al. 2013

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We present a calculation of the strangeness and charmness contents N |ss|N and N |cc|N of the nucleon from dynamical lattice QCD with 2 + 1 flavors. The calculation is performed with overlap valence quarks on 2+1-flavor domain-wall fermion gauge configurations. The configurations are generated by the RBC collaboration on a 24 3 × 64 lattice with sea quark mass am l = 0.005, am s = 0.04, and inverse lattice spacing a −1 = 1.73 GeV. Both actions have chiral symmetry which is essential in avoiding contamination due to the operator mixing with other flavors. Nucleon propagator and the quark loops are both computed with stochastic grid sources, while low-mode substitution and low-mode averaging methods are used respectively which substantially improve the signal to noise ratio. We obtain the strangeness matrix element f Ts = m s N |ss|N /M N = 0.0334(62), and the charmness content f Tc = m c N |cc|N /M N = 0.094(31) which is resolved from zero by 3 σ precision for the first time.

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Two meson systems with Ginsparg-Wilson valence quarks

Cited by 82 publications

References 94 publications

Nucleon form factors with2+1flavor dynamical domain-wall fermions

Nucleon form factors with2+1flavor dynamical domain-wall fermions

Hyperons in two-flavor chiral perturbation theory

Strangeness and charmness content of the nucleon from overlap fermions on2+1-flavor domain-wall fermion configurations

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