6533b7d5fe1ef96bd1264839
RESEARCH PRODUCT
Consistency between SU(3) and SU(2) covariant baryon chiral perturbation theory for the nucleon mass
Luis Alvarez-rusoLi-sheng GengXiu-lei RenXiu-lei RenM. J. Vicente VacasJie MengJie MengJie MengT. Ledwigsubject
QuarkPhysicsStrange quarkParticle physicsNuclear and High Energy PhysicsChiral perturbation theory010308 nuclear & particles physicsBaryon chiral perturbation theoryHigh Energy Physics::LatticeNuclear TheoryHigh Energy Physics::PhenomenologyLattice QCDLattice QCD01 natural scienceslcsh:QC1-999BaryonNucleon mass and sigma term0103 physical sciencesCovariant transformation010306 general physicsNucleonNuclear ExperimentSpecial unitary grouplcsh:Physicsdescription
Abstract Treating the strange quark mass as a heavy scale compared to the light quark mass, we perform a matching of the nucleon mass in the SU(3) sector to the two-flavor case in covariant baryon chiral perturbation theory. The validity of the 19 low-energy constants appearing in the octet baryon masses up to next-to-next-to-next-to-leading order [1] is supported by comparing the effective parameters (the combinations of the 19 couplings) with the corresponding low-energy constants in the SU(2) sector [2] . In addition, it is shown that the dependence of the effective parameters and the pion-nucleon sigma term on the strange quark mass is relatively weak around its physical value, thus providing support to the assumption made in Ref. [2] that the SU(2) baryon chiral perturbation theory can be applied to study n f = 2 + 1 lattice QCD simulations as long as the strange quark mass is close to its physical value.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-03-01 | Physics Letters B |