Heavy Meson Hyperfine Splittings: A Puzzle for Heavy Quark Chiral Perturbation Theory

Abstract

We show that there is a large discrepancy between the expected light flavor dependence of the heavy pseudoscalar--vector mass splittings and the measured values. We demonstrate that the one--loop calculation is unreliable. Moreover, agreement with experiment requires the leading dependence on SU(3) symmetry breaking to be nearly cancelled, so that the heavy quark mass dependence is unknown and the expected dependence on the light quark mass is not realized.

arXiv comment11 pages (LaTeX, 2 PS figures available upon request), MIT-CTP#2166

References in corpus (1)

• Chiral Perturbation Theory for $f_{D_S}/f_D$ and $B_{B_S}/B_B$

Cited by in corpus (15)

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• Even- and Odd-Parity Charmed Meson Masses in Heavy Hadron Chiral Perturbation Theory
• Heavy Meson Masses in Chiral Perturbation Theory with Heavy Quark Symmetry
• Corrections to Chiral Dynamics of Heavy Hadrons: (I) 1/M Correction
• Corrections from Low Momentum Physics to Heavy Quark Symmetry Relations for $B\to De{\bar{\nu }}_e$ and $B\to D^{\ast }e{\bar{\nu }}_e$ Decay
• Strong and Electromagnetic Mass Splittings in Heavy Mesons
• Heavy Meson Hyperfine Splitting: A Complete $1/m_Q$ Calculation
• What can a relativistic quark model tell us about charmed mesons?
• Spectroscopy of excited charmed mesons
• Three symmetry breakings in strong and radiative decays of strange heavy mesons
• Quark mass dependence of the low-lying charmed mesons at one loop in HH$\chi$PT
• The QCD Scale in the Heavy Quark Expansion