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On the convergence of chiral expansions for charmed meson masses in the\n up, down and strange quark masses

2019/04/03 by M. F. M. Lutz, Lutz, Matthias F. M., X. Y. Guo +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1904.01768

openalex publication_date 2019/04/03 · openalex created_date 2020/05/29 · openalex updated_date 2026/07/28

Abstract

We discuss the convergence properties of chiral expansions for the\npseudoscalar and vector charmed meson masses based on the chiral SU(3)\nLagrangian. Conventional expansion strategies as formulated in terms of bare\nmeson masses are shown to suffer from poor convergence properties. This changes\nonce the expansion is set up in terms of on-shell masses. We find a rapid\nconvergence of the chiral expansion from vanishing quark masses up to physical\nvalues of the strange quark mass in this case. Detailed results are presented\nat the one-loop level for the D-meson and D^*-meson masses. It is emphasized\nthat our results do not depend on the renormalization scale. An approximation\nhierarchy for the chiral Ward identities of QCD is obtained that keeps the\nproper form of low-energy branch points and cuts as they are implied by the use\nof on-shell masses. Given such a scheme we analyzed the charmed meson masses as\navailable on various QCD lattice ensembles. In terms of the determined\nlow-energy constants we consider the coupled-channel interactions of the\nGoldstone bosons with open-charm mesons. For the isospin violating hadronic\ndecay width of the Ds0^*(2317) we predict the range (104-116) keV.\n

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