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arXiv · hep-ph/9204207

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

B. Grinstein·E. Jenkins·A. V. Manohar·M. J. Savage·M. B. Wise
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Abstract

The decay constants for the $D$ and $D_S$ mesons, denoted $f_D$ and $f_{D_S}$ respectively, are equal in the $SU(3)_V$ limit, as are the hadronic amplitudes for $B_S-\bar B_S$ and $B^0-\bar B^0$ mixing. The leading $SU(3)_V$ violating contribution to $\left( f_{D_S} / f_D \right)$ and to the ratio of hadronic matrix elements relevant for $B_S-\bar B_S$ and $B^0-\bar B^0$ mixing amplitudes are calculated in chiral perturbation theory. We discuss the formalism needed to include both meson and anti-meson fields in the heavy quark effective theory.

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B. Grinstein, E. Jenkins, A. V. Manohar, M. J. Savage, M. B. Wise. 1992-04-03. Chiral Perturbation Theory for $f_{D_S}/f_D$ and $B_{B_S}/B_{B}$. https://doi.org/10.1016/0550-3213(92)90248-a

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