Heavy Meson Masses in Chiral Perturbation Theory with Heavy Quark Symmetry

Details Heavy Meson Masses in Chiral Perturbation Theory with Heavy Quark Symmetry Heavy Meson Masses in Chiral Perturbation Theory with Heavy Quark Symmetry

1992-12-21

arxiv.org/abs/hep-ph/9212295v1

Nucl.Phys.B412:181-200,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/0550-3213(94)90499-5

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 $\alpha_em$ are included. The observed values of the mass splittings are consistent with the one-loop chiral perturbation theory calculation. The $d-u$ hyperfine splitting $(D^{* +} - D^+) - (D^{*0} - D^0)$ is equal to $(m_d - m_u)/ m_s$ times the $s-d$ hyperfine splitting $(D_s^{* +} - D_s^+) - (D^{*+} - D^+)$ 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.

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