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/

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