Finite Mass Corrections to Leptonic Decay Constants in the Heavy Quark Effective Theory

Details Finite Mass Corrections to Leptonic Decay Constants in the Heavy Quark Effective Theory Finite Mass Corrections to Leptonic Decay Constants in the Heavy Quark Effective Theory

1993-12-22

arxiv.org/abs/hep-ph/9312325v1

Nucl.Phys. B421 (1994) 593-612

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, Revtex3 (all style files included), 8 figures included, TUM-T31-54/93 (Technische Universit\"at M\"unchen)

Scientific paper

10.1016/0550-3213(94)90518-5

We calculate finite mass corrections to leptonic decay constants in HQET using QCD sum rules. The results are given to two--loop accuracy including renormalization group analysis. The contribution of unknown two--loop anomalous dimension matrix--elements is estimated. We find that the $1/m_Q$ corrections to $f_P$, the decay constant of a pseudoscalar meson, amount $-(23\pm4\pm2)\%$ for the B meson. The first error comes from the sum rule uncertainty, the second one from unknown or not accurately known matrix elements in HQET. We obtain a ratio of vector to pseudoscalar decay constant of $1.00\pm0.07+O(1/m_Q^2)$ for B mesons.

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