Hyperons in two-flavor chiral perturbation theory

Tiburzi, Brian C.; Walker-Loud, André

doi:10.1016/j.physletb.2008.09.054

Cited by 64 publications

(104 citation statements)

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“…The NREFTs are constructed as an expansion in derivatives acting on fields near their classical trajectory. As emphasized by Tiburzi [79] and others, this leads to modifications in calculated matrix elements because derivatives are approximated by finite differences in lattice calculations. For large momenta, this is a small effect because of the large density of states, but at low momenta, particularly near zero, this can be a non-negligible effect that must be accounted for.…”

Section: Lattice Artifactsmentioning

confidence: 99%

Finite-volume electromagnetic corrections to the masses of mesons, baryons, and nuclei

2014

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Now that Lattice QCD calculations are beginning to include QED, it is important to better understand how hadronic properties are modified by finite-volume QED effects. They are known to exhibit power-law scaling with volume, in contrast to the exponential behavior of finite-volume strong interaction effects. We use non-relativistic effective field theories describing the low-momentum behavior of hadrons to determine the finite-volume QED corrections to the masses of mesons, baryons and nuclei out to O 1/L 4 in a volume expansion, where L is the spatial extent of the cubic volume. This generalizes the previously determined expansion for mesons, and extends it by two orders in 1/L to include contributions from the charge radius, magnetic moment and polarizabilities of the hadron. We make an observation about direct calculations of the muon g − 2 in a finite volume.

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Section: Lattice Artifactsmentioning

confidence: 99%

Finite-volume electromagnetic corrections to the masses of mesons, baryons, and nuclei

2014

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“…Allowing to be slightly away from the physical pion mass we can perform an interpolation to the physical point as follows: Observing that our previous results using N f = 2 and N f = 2 + 1 + 1 ensembles showed no detectable cut-off and volume effects nor we have seen any unquenching effects due to the strange and charm quarks in the sea, we make use of the nucleon masses from 17 N f = 2 + 1 + 1 ensembles [36] in order to interpolate the nucleon mass of the physical ensemble. Namely, we perform a combined fit to the N f = 2 physical ensemble and the 17 N f = 2 + 1 + 1 ensembles using the SU(2) chiral perturbation theory (χPT) well-established O(p 3 ) expression [56,57] …”

Section: Determination Of the Lattice Spacingmentioning

confidence: 99%

Low-lying baryon masses using Nf=2 twisted mass clover-improved fermions directly at the physical pion mass

Alexandrou

Kallidonis

2017

Phys. Rev. D

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The masses of the low-lying baryons are evaluated using an ensemble with two degenerate light twisted mass clover-improved quarks with mass tuned to reproduce the physical pion mass. The Iwasaki improved gluonic action is employed. The coupling constant value corresponds to a lattice spacing of a = 0.0938(3)(2) fm, determined from the nucleon mass. We find that the clover term supresses isospin symmetry breaking as compared to our previous results using N f = 2+1+1 twisted mass fermions. The masses of the hyperons and charmed baryons evaluated using this ensemble are in agreement with the experimental values. We provide predictions for the mass of the doubly charmed Ξ * cc , as well as of the doubly and triply charmed Ωs that have not yet been determined experimentally.

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“…The study of the Ω − mass in lattice QCD is nowadays an important topic of investigation helping to constrain the (physical) strange quark mass in the quenched and dynamical calculations [48,49,50,51].…”

Section: ωmentioning

confidence: 99%