Heavy Meson Masses in Chiral Perturbation Theory with Heavy Quark Symmetry

Abstract

The $SU(3)$ and hyperfine mass splittings of mesons containing a single heavy quark are computed to one-loop order in chiral perturbation theory with heavy quark spin symmetry. Electromagnetic contributions of order ${\alpha }_{e}m$ are included. The observed values of the mass splittings are consistent with the one-loop chiral perturbation theory calculation. The $d-u$ hyperfine splitting $(D^{\ast +}-D^{+})-(D^{\ast 0}-D^0)$ is equal to $(m_d-m_u)/m_s$ times the $s-d$ hyperfine splitting $(D_s^{\ast +}-D_s^{+})-(D^{\ast +}-D^{+})$ upto electromagnetic contributions. The small observed value of the $s-d$ hyperfine splitting implies that the $d-u$ hyperfine splitting is completely dominated by electromagnetic mass contributions.

Comments: (28 pages, 2 figures included using uufiles, uses harvmac), CERN-TH.6765/92