One-loop analysis of the interactions between charmed mesons and Goldstone bosons

Abstract

We derive the scattering amplitude for Goldstone bosons of chiral symmetry off the pseudoscalar charmed mesons up to leading one-loop order in a covariant chiral effective field theory, using the so-called extended-on-mass-shell renormalization scheme. Then we use unitarized chiral perturbation theory to fit to the available lattice data of the S-wave scattering lengths. The lattice data are well described. However, most of the low-energy constants determined from the fit bear large uncertainties. Lattice simulations in more channels are necessary to pin down these values which can then be used to make predictions in other processes related by chiral and heavy quark symmetries.

34 pages, 7 figures, 7 tables, the final version to be published in JHEP

References in corpus (7)

• Chiral Perturbation Theory and Baryon Properties
• Mesonic low-energy constants
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Decay widths of the spin-2 partners of the X(3872)
• Light Pseudoscalar Meson and Heavy Meson Scattering Lengths
• Reanalysis of lattice QCD spectra leading to the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\ast }(2460)$

Cited by in corpus (9)

• Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons
• New insights into the $D_{s0}^{\ast }(2317)$ and other charm scalar mesons
• Study of open-charm $0^{+}$ states in unitarized chiral effective theory with one-loop potentials
• Magnetic moments of the spin-1/2 doubly charmed baryons in covariant baryon chiral perturbation theory
• Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons
• $B_s\pi$--$B\bar{K}$ interactions in finite volume and the $X(5568)$
• Implications of chiral symmetry on $S$-wave pionic resonances and the scalar charmed mesons
• $P$-wave coupled channel effects in electron-positron annihilation
• Reanalysis of lattice QCD spectra leading to the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\ast }(2460)$