Excited Heavy Mesons and Kaon Loops in Chiral Perturbation Theory

Abstract

We consider the effects of excited states on the $SU(3)$ breaking chiral loop corrections to heavy meson properties. In particular, we compare the size of kaon loops in which an excited heavy meson appears to the size of previously calculated loops with heavy mesons in the ground state. We find that the new effects may indeed be of the same magnitude as the old ones, but that there is a strong dependence on the unknown masses and coupling constants of the new states. As a result, we argue that the ground state loops alone may not be a trustworthy guide to $SU(3)$ corrections, and that the appropriate cutoff for a heavy-light chiral lagrangian which omits excited heavy mesons may be considerably smaller than the na\"ıve expectation of $Λ_χ\approx 1\gev$.

12 pages, 2 figures provided upon request, uses harvmac.tex, SLAC--PUB--6055

References in corpus (2)

• Strong Decays of Excited Heavy Mesons In Chiral Perturbation Theory
• Chiral Perturbation Theory for $f_{D_S}/f_D$ and $B_{B_S}/B_B$

Cited by in corpus (18)

• Phenomenology of Heavy Meson Chiral Lagrangians
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Chiral Dynamics and Heavy Quark Symmetry in a Toy Field Theoretic Model
• Extraction of the D^*Dπcoupling from D^* decays
• Radiative Leptonic Decays of Heavy Mesons
• Strong coupling of excited heavy mesons
• Remark on the Theoretical Uncertainty in B^0-\bar{B}^0 Mixing
• $\bar B\to\bar K\e^+\e^-$ in Chiral Perturbation Theory
• On a precise calculation of (f_{B_s}/f_B) / (f_{D_s}/f_D) and its implications on the interpretation of B - \bar B mixing
• 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
• Naturally Small $x_s$?
• B Meson Transitions into Higher Mass Charmed Resonances
• Sum Rules for Radiative and Strong Decays of Heavy Mesons
• Obtaining CKM Phase Information from B Penguin Decays
• Chiral extrapolation of lattice data for the hyperfine splittings of heavy mesons
• Determining V(ub) from B+ --> D*+(s) e+ e- and B+ --> D*+ e+ e-
• Chiral loop corrections to weak decays of B mesons to positive and negative parity charmed mesons
• Property of Chiral Scalar and Axial-Vector Mesons in Heavy-Light Quark System