Abstract
Recent experimental advances have reignited theoretical interests in heavy-flavor hadrons. In this work, we study the magnetic moments of the spin-1/2 singly charmed baryons up to the next-to-leading order in covariant baryon chiral perturbation theory with the extended-on-mass-shell renormalization scheme. The pertinent low energy constants $g_{1-4}$ are fixed with the help of the quark model and the heavy quark spin flavor symmetry, while the remaining $d_2$, $d_3$, $d_5$ and $d_6$ are determined by fitting to the lattice QCD pion-mass dependent data. We study the magnetic moments as a function of $m_\pi^2$ and compare our results with those obtained in the heavy baryon chiral perturbation theory. We find that the loop corrections induced by the anti-triplet states are dominated by the baryon pole diagram. In addition, we predict the magnetic moments of the spin-1/2 singly charmed baryons and compare them with those of other approaches.
Highlights
In the last two decades, tremendous progress has been made in our understanding of heavy-flavor hadrons, thanks to the experimental discoveries by collaborations such as LHCb, BELLE, and BESIII and the related theoretical studies
Chiral perturbation theory (ChPT) [32], as a low-energy effective field theory of QCD, is an appropriate framework to study the magnetic moments of hadrons, 1The extrapolations in mπ were performed by phenomenological fits either constant or linear or quadratic in m2π
We determine the low energy constants (LECs) d2, d3, d5, and d6 by fitting to the lattice QCD data of Refs. [26,27,28,29], which are collected in Table V for the sake of easy reference
Summary
In the last two decades, tremendous progress has been made in our understanding of heavy-flavor hadrons, thanks to the experimental discoveries by collaborations such as LHCb, BELLE, and BESIII and the related theoretical studies. Chiral perturbation theory (ChPT) [32], as a low-energy effective field theory of QCD, is an appropriate framework to study the magnetic moments of hadrons, 1The extrapolations in mπ were performed by phenomenological fits either constant or linear or quadratic in m2π. Our main purpose is to study the lattice QCD data on the magnetic moments of singly charmed baryons [26,27,28,29] and perform chiral extrapolations using the EOMS BChPT, while in Refs.
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