Relativistic corrections to the axial vector and vector currents in the bar{b}c meson system at order alpha_s

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 alpha_s including relativistic corrections of all orders in vec{q}^{2n}, where vec{q} is the relative momentum of the bar{b} and c in the meson rest frame. The relativistic corrections at order alpha_s are new. The results reveal that the relativistic corrections to the leptonic decay rate of the B_c meson at order alpha_s or less converge rapidly, which shows a strong contrast to the uncomfortably large corrections of order alpha_s^2|vec{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.

34 pages, no figure

References in corpus (6)

• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• Potential-model calculation of an order-v^2 NRQCD matrix element
• NRQCD matrix elements for S-wave bottomonia and Gamma[eta_b(nS) -> gamma gamma] with relativistic corrections
• Factorization in exclusive quarkonium production
• Factorization theorems for exclusive heavy-quarkonium production
• Order-alpha_s corrections to the quarkonium electromagnetic current at all orders in the heavy-quark velocity

Cited by in corpus (3)

• Relativistic Correction to Color Octet J/psi Production at Hadron Colliders
• Reconciling the nonrelativistic QCD prediction and the $J/\psi \to 3\gamma$ data
• Higher-order corrections to exclusive production of charmonia at B factories