Covariant light-front approach fors-wave andp-wave mesons: Its application to decay constants and form factors

Abstract

We study the decay constants and form factors of the ground-state s-wave and low-lying p-wave mesons within a covariant light-front approach. Numerical results of the form factors for transitions between a heavy pseudoscalar meson and an s-wave or p-wave meson and their momentum dependence are presented in detail. In particular, form factors for heavy-to-light and B → D * * transitions, where D * * denotes generically a p-wave charmed meson, are compared with other model calculations. The experimental measurements of the decays B − → D * * π − and B → DD * * s are employed to test the decay constants of D * * s and the B → D * * transition form factors. The heavy quark limit behavior of the decay constants and form factors is examined and it is found that the requirement of heavy quark symmetry is satisfied. The universal Isgur-Wise (IW) functions, one for s-wave to s-wave and two for s-wave to p-wave transitions, are obtained. The values of IW functions at zero recoil and their slope parameters can be used to test the Bjorken and Uraltsev sum rules.

Study of B+ c decays to the K+K−π+ final state by using B0 s , χc0 and D0 resonances and weak annihilation nonresonant topologys

“…It has been pointed out in the BSW2 model [19,20] that consistency with the heavy quark symmetry requires certain form factors such as F 0 and F 1 to have dipole q 2 dependence i.e. F P →P 1,2 0,1…”

The rare semi-leptonic B c decays involving orbitally excited final mesons

“…In the processes of solving the Salpeter equations, the masses of 1 P 1 and 3 P 1 states, namely, M D (s) 1 P 1 and M D (s) 3 P 1 , are required. In analogy to the case of η 1 − η 8 mixing [44], we determine them from the following relationships [45,46], 12) where M D 1 (2420,2430) and M D s1 (2460,2536) stand for the physical masses and we take them from ref. [22].…”

A Simultaneous Measurement of the Branching Fractions of Ten B to Double Charm Decays

“…factors. These models are the constituent quark model (CQM) [ 12 ], the light-front quantum chromodynamics (LFQCD) [13] and heavy quark symmetry with corrections (HQSC) [14]. We will not delve into these models here, but instead ask the interested reader to look at the references for details.…”

“…The overall uncertainty of the correction factors on e Ij depends on the sub-mode j. For example, the sub-mode (Kππ 0 )π (K S ππ)π has four charged daughters from D 0 (one kaon and three π ± ), two slow π ± , one K S , one π 0 , and one kaon with PID 13 .…”

“…The systematic uncertainties of B due to the efficiency corrections are obtained after propagating the errors through Equation (6.1). 13 The kaon gets two corrections: one from tracking, the other from PID.…”