Decuplet Baryon Masses in Partially Quenched Chiral Perturbation Theory

Abstract

The masses of the spin-3/2 baryons are calculated to next-to-next-to-leading order in heavy baryon chiral perturbation theory and partially quenched heavy baryon chiral perturbation theory. The calculation is performed for three light flavors in the isospin limit. These results are necessary for extrapolating QCD and partially quenched QCD lattice calculations of the decuplet baryon masses.

22 pages, 4 figures, RevTex4, minor content changes

References in corpus (1)

• Chiral extrapolations of baryon masses for unquenched three-flavor lattice simulations

Cited by in corpus (47)

• FLAG Review 2019
• Physical Results from 2+1 Flavor Domain Wall QCD and SU(2) Chiral Perturbation Theory
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Flavour blindness and patterns of flavour symmetry breaking in lattice simulations of up, down and strange quarks
• Singly and Doubly Charmed J=1/2 Baryon Spectrum from Lattice QCD
• Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory
• Tuning the strange quark mass in lattice simulations
• The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory
• Baryon mass splittings and strong CP violation in SU(3) Chiral Perturbation Theory
• SU(2) and SU(3) chiral perturbation theory analyses on baryon masses in 2+1 flavor lattice QCD
• Twist-two matrix elements at finite and infinite volume
• Two Meson Systems with Ginsparg-Wilson Valence Quarks
• On finite volume effects in the chiral extrapolation of baryon masses
• Baryons with Ginsparg-Wilson quarks in a staggered sea
• Strong Isospin Breaking in the Nucleon and Delta Masses on the Lattice
• Hyperons in Two Flavor Chiral Perturbation Theory
• On the quark-mass dependence of the baryon ground-state masses
• Universality of Mixed Action Extrapolation Formulae
• A Lattice Test of 1/N_c Baryon Mass Relations
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory
• Baryon Electromagnetic Properties in Partially Quenched Heavy Hadron Chiral Perturbation Theory
• Decuplet baryon masses in covariant baryon chiral perturbation theory
• The relativistic chiral Lagrangian for decuplet and octet baryons at next-to-leading order
• Large-N_c operator analysis of 2-body meson-baryon counterterms in the chiral Lagrangian
• Strong contribution to octet baryon mass splittings
• Scale setting the Möbius Domain Wall Fermion on gradient-flowed HISQ action using the omega baryon mass and the gradient-flow scales $t_0$ and $w_0$
• Möbius domain-wall fermions on gradient-flowed dynamical HISQ ensembles
• Nucleon and Delta masses in twisted mass chiral perturbation theory
• Baryon Masses in Partially Quenched Heavy Hadron Chiral Perturbation Theory
• Baryon masses at O(a^2) in chiral perturbation theory
• Chiral Corrections and the Axial Charge of the Delta
• The magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
• On the consistency of recent QCD lattice data of the baryon ground-state masses
• Connected Parts of Decuplet Electromagnetic Properties
• Patterns of flavour symmetry breaking in hadron matrix elements involving u, d and s quarks
• Chiral Lagrangians with decuplet baryons to one loop
• Effective Field Theory for the Anisotropic Wilson Lattice Action
• New lessons from the nucleon mass, lattice QCD and heavy baryon chiral perturbation theory
• Topics in Effective Field Theory for Lattice QCD
• Constraints from a large-N_c analysis on meson-baryon interactions at chiral order Q^3
• The chiral limit of QCD and above
• Topics in Lattice QCD and Effective Field Theory
• Quark mass dependence of the ground-state octet baryons in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory
• Properties of the ground-state baryons in chiral perturbation theory
• Aspects of SU(3) baryon extrapolation
• Ph.D. Thesis: Chiral Effective Field Theory Beyond the Power-Counting Regime