Heavy-to-light form factors on the light cone

Abstract

The light cone method provides a convenient non-perturbative tool to study the heavy-to-light form factors. We construct a light cone quark model utilizing the soft collinear effective theory. In the leading order of effective theory, the form factors for B to light pseudoscalar and vector mesons are reduced to three universal form factors which can be calculated as overlaps of hadron light cone wave functions. The numerical results show that the leading contribution is close to the results from other approaches. The q 2 dependence of the heavy-to-light form factors are also presented.

B-meson to light-meson transition form factors

“…Equation (8) makes plain that our calculations require information about dressed-quark propagators -S(p), meson Bethe-Salpeter amplitudes -Γ(k; P ), and interaction vertices -Γ I (p, q). In Sec.…”

“…Hence, their calculation requires information about the structure of both heavy-and light-mesons. A variety of theoretical approaches have been applied to this problem, recent amongst which are analyses using light-cone sum rules [6,7], light-front quark models [8], a constituent-quark model in a dispersion relation formulation [9], and relativistic quark models -e.g., Refs. [10,11,12,13,14].…”

“…It is notable that while the methods of Refs. [6,7,8] can only provide access to the form factors on a domain of small timelike q 2 , the entire range of physical momenta is directly accessible in Refs. [9,10,11,12,13,14].…”

$$B_c\rightarrow B_{sJ}$$ B c → B s J

“…Moreover, in covariant LFQM [31], the spurious contribution which depends on the orientation of the light front is elegantly eliminated by including zero-mode contributions. This covariant model has been successfully extended to study the decay constants and form factors of various mesons [37][38][39][40][41][42][43][44][45][46][47][48][49]. Through this study of B c → B s J in LFQM, we believe that one will not only obtain the information as regards the decay dynamics in the presence of a heavy spectator but will also provide a side-check for the classification of the heavy-light mesons.…”

“…which have been widely used in various B and B c decays [42][43][44][45][46][47][48][49]. The masses of the B c and B s J are taken from the PDG (in units of GeV) [11]:…”