Constraints on the light quark masses from the heavy meson spectrum

Abstract

We use the observed $SU(3)$ breaking in the mass spectrum of mesons containing a single heavy quark to place restrictions on the light quark current masses. A crucial ingredient in this analysis is our recent first-principles calculation of the electromagnetic contribution to the isospin-violating mass splittings. We also pay special attention to the role of higher-order corrections in chiral perturbation theory. We find that large corrections are necessary for the heavy meson data to be consistent with $m_u=0$.

Fixed typo in eq. (3.7); results unchanged.

References in corpus (2)

• Baryon Masses at Second Order in Chiral Perturbation Theory
• Heavy Meson Electromagnetic Mass Differences from QCD

Cited by in corpus (4)

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• Duality and Exact Results in Product Group Theories
• Supersymmetry Breaking and Duality in SU(N)xSU(N-M) Theories
• Sum Rules for Radiative and Strong Decays of Heavy Mesons