Asymptotics of the perturbative series for f_{B^*}/f_B

Abstract

We investigate the structure of the leading IR renormalon singularity in the QCD/HQET matching coefficients for heavy-light quark currents beyond the large-β_0 limit. From this result, we derive the large-order behaviour of the perturbative series for these coefficients, and for ratios of meson matrix elements, such as f_{B^*}/f_B.

45 pages, 2 eps figures. v2: small corrections, reference added. v3: reference added. v4: errors in some equations of Appendix B, in (5.8) and Table 2 corrected, numerical changes are very small. Paper also available from http://www-ttp.physik.uni-karlsruhe.de/Preprints/

References in corpus (2)

• Determination of the bottom quark mass from the ${\rm Y}(1S)$ system
• Two-Loop Renormalization of Heavy--Light Currents at Order 1/m_Q in the Heavy-Quark Expansion

Cited by in corpus (8)

• Matching QCD and HQET heavy-light currents at three loops
• Fit to the Bjorken, Ellis-Jaffe and Gross-Llewellyn-Smith sum rules in a renormalon based approach
• Correlator of heavy-quark currents at small q^2 in the large-beta_0 limit
• Dependence of five and six-loop estimated QCD corrections to the relation between pole and running masses of heavy quarks on the number of light flavours
• Calculations of binding energies and masses of heavy quarkonia using renormalon cancellation
• The scalar gluonium correlator: large-beta_0 and beyond
• On the relation between pole and running heavy quark masses beyond the four-loop approximation
• Matching QCD and HQET at three loops