Abstract
We compute the short distance coefficients for the NRQCD factorization formulas of the meson-to-vacuum matrix elements for the axial vector and vector parts of the charged weak current in the S-wave spin-singlet and -triplet \( \bar{b}c \) mesons, respectively. The computation is carried out to order α s including relativistic corrections of all orders in q 2n, where q is the relative momentum of the \( \bar{b} \) and c in the meson rest frame. The relativistic corrections at order α s are new. The results reveal that the relativistic corrections to the leptonic decay rate of the B c meson at order α s or less converge rapidly, which shows a strong contrast to the uncomfortably large corrections of order α s 2|q|0. The short distance coefficients listed in this paper can be employed to compute the resummation of relativistic corrections to the phenomenological measurables that involve B c and B c ∗ production and decay.
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Lee, J., Sang, W. & Kim, S. Relativistic corrections to the axial vector and vector currents in the \( \bar{b}c \) meson system at order α s . J. High Energ. Phys. 2011, 113 (2011). https://doi.org/10.1007/JHEP01(2011)113
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DOI: https://doi.org/10.1007/JHEP01(2011)113