1/mQ corrections to B→ρlν decay and

Abstract

In the heavy quark effective field theory of QCD, we analyze the order 1/mQ contributions to heavy to light vector decays. Light cone sum rule method is applied with including the effects of 1/mQ order corrections. We then extract |V ub | from B → ρlν decay up to order of 1/mQ corrections.

B(s), D(s)→ π, K, η, ρ, K*, ω, ϕ TRANSITION FORM FACTORS AND DECAY RATES WITH EXTRACTION OF THE CKM PARAMETERS |Vub|, |Vcs|, |Vcd|

“…They can be represented by the universal wave functions A, B and L i (i = 1, 2, 3, 4), which have been formulated by using light-cone sum rules in Eqs. (21)(22)(23)(24)(25)(26).…”

“…The HQEFT can also simplify significantly the evaluation of hadronic matrix elements and provide a systematic and consistent approach to calculate the 1/m Q corrections. The HQEFT has well been applied to the heavy to heavy meson decays [12,13,14,15,16] up to 1/m 2 Q corrections, and also extended to the heavy to light decays [18,19,20,21] including the 1/m Q corrections for B → πeν decay [22] and B → ρeν decay [23]. Some interesting relations have been shown to hold for the whole region of momentum transfer at the leading order of 1/m Q expansion [21].…”

“…As we consider in this paper only the leading contributions of 1/m Q expansion, the results should be universal since the effective field theories of heavy quarks resulting from different approaches are all the same in the infinite mass limit [24]. The 1/m Q corrections have been shown to be small in the B-meson decays [22,23]. For the D-meson decays, the 1/m Q corrections are expected to be sizable, but it is likely to have sizable effects only on some of the form factors which are not dominant for the decay rates.…”

Heavy Quark Expansion in 1/\hat{m}_Q and |V_{cb}| Extraction

“…In this note, we will show that based on the new formulation of Lagrangian given in Eqs. ( 27)- (29), one can also consistently perform 1/ mQ expansion for the exclusive decays.…”

“…HQEFT has been applied to explore various processes of heavy hadrons. In particular, the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements |V cb | and |V ub | are extracted from both inclusive [20][21][22][23] and exclusive [17,[24][25][26][27][28][29] B decays. In the treatment of inclusive B decays, the dressed heavy quark mass mQ = m Q + Λ as a whole enters the formulation, which implies that a "dressed heavy quark"-hadron duality is more reasonable than the naive heavy quark-hadron duality.…”