Tensor form factors of P→ P, S, V and A transitions within standard and covariant light-front approaches *

Abstract

We investigate the tensor form factors of , and A transitions within the standard light-front (SLF) and the covariant light-front (CLF) quark models (QMs). The self-consistency and Lorentz covariance of CLF QM are analyzed via these quantities, and the effects of zero-mode are discussed. For the and A transitions, besides the inconsistency between the results extracted via longitudinal and transverse polarization states, which is caused by the residual -dependent spurious contributions, we find and analyze a “novel” self-consistence problem of the traditional CLF QM, caused by different strategies for dealing with the trace term in CLF matrix element. A possible solution to the problems of traditional CLF QM is discussed and confirmed numerically. Finally, the theoretical predictions for the tensor form factors of some and ( ) induced and A transitions are updated within the CLF QM with a self-consistent scheme.

Form factors of $P\to T$ transition within the light-front quark models

“…• Compared the numerical results of P → T transition with the ones of P → V transition obtained in our previous works [46,48] at q 2 = 0, it is found that: (i) For the c → q and b → q (q = u, d, s) induced transition with a light spectator quark, the former are smaller than the later, which is favored by the experimental data of radiative decays. For instance, our result T…”

“…which suggested values given in the previous works [49], it covers properly the others values and therefore can reflect roughly the uncertainties induced by the model dependence of quark mass. Then, the parameters β listed in Table 6 [46], in which it have been assumed that β q q is same for V and T due to the lack of tensor meson decay constant data . In addition, the Appendix B: The CLF results for the tensor form factors of P → T transitions obtained in the previous paper…”

“…In order to deal with the self-consistence problem, Choi and Ji present a modified correspondence scheme between the covariant BS approach and the LF approach (named as type-II scheme) [47], which requires an additional M → M 0 replacement relative to the traditional type-I correspondence scheme. By using such improved self-consistent CLF QM, one can obtain the self-consistent results [47], and moreover, the covariance of matrix element can be fully recovered [44,46,48,49]. In this paper, we would like to further test the self-consistence and covariance of the self-consistent CLF QM via the form factors of P → T transition.…”

Study of $ B_{u,d,s} \to K_0^*(1430) P $ and $K_0^*(1430) V$ decays within QCD factorization

“…[84] by improving the correspondence between CLF and BS calculation, and has been tested in, for instance, Refs. [85][86][87][88][89][90][91][92][93]. Most of the results based on such improved self-consistent CLF approach for the decay constant and form factors generally agree with the experimental data and the predictions obtained by using Lattice QCD (LQCD) and light cone sum rules (LCSR) (some examples can be found in Refs.…”

Current-Component Independent Transition Form Factors for Semileptonic and Rare D ⟶ π K Decays in the Light-Front Quark Model

“…Perhaps, one of the most apt formulations for the analysis of exclusive processes involving hadrons may be provided in the framework of light-front (LF) quantization [38]. The semileptonic and rare D decays have also been analyzed by the light-front quark model (LFQM) [39][40][41][42][43][44][45][46][47] based on the LF quantization.…”