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

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

2003-03-06

arxiv.org/abs/hep-ph/0303052v4

Nucl.Phys. B663 (2003) 280-318; Erratum-ibid. B670 (2003) 331-332

Physics

High Energy Physics

High Energy Physics - Phenomenology

45 pages, 2 eps figures. v2: small corrections, reference added. v3: reference added. v4: errors in some equations of Appendix

Scientific paper

10.1016/S0550-3213(03)00354-7

We investigate the structure of the leading IR renormalon singularity in the
QCD/HQET matching coefficients for heavy-light quark currents beyond the
large-\beta_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.

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