Form factors for semileptonic D decays

Abstract

We study the form factors for semileptonic decays of D-mesons. That is, we consider the matrix element of the weak left-handed quark current for the transitions D → P and D → V , where P and V are light pseudoscalar or vector mesons, respectively. Our motivation to perform the present study of these form factors are future calculations of non-leptonic decay amplitudes.We consider the form factors within a class of chiral quark models. Especially, we study how the Large Energy Effective Theory (LEET) limit works for D-meson decays. Compared to previous work we also introduce light vector mesons V = ρ, K * , ... within chiral quark models. In order to determine some of the parameters in our model, we use existing data and results based on some other methods like lattice calculations, light-cone sum rules, and heavy-light chiral perturbation theory.We also obtain some predictions within our framework.

Exclusive semileptonic decays of D and Ds mesons in the covariant confining quark model

“…Semileptonic D (s) form factors have been studied extensively in the framework of various phenomenological quark models. We mention here the Isgur-Scora-Grinstein-Wise (ISGW) model [47] and its updated version ISGW2 [48], the relativistic quark model using a quasipotential approach [49], the chiral quark model [50], the constituent quark model (CQM) [51],…”

Semileptonic D(s) -meson decays in the light of recent data

“…This calculation is carried out by nonperturbative methods including lattice QCD (LQCD) [13][14][15], QCD sum rules [16][17][18], lightcone sum rules (LCSR) [19][20][21][22][23][24][25], and phenomenological quark models. Regarding the quark models used in studies of semileptonic D decays, one can mention the Isgur-Scora-Grinstein-Wise (ISGW) model [26] and its updated version ISGW2 [27], the constituent quark model (CQM) [28], the relativistic quark model based on the quasipotential approach [29], the chiral quark model [30], the light-front quark model (LFQM) [31][32][33], and the model based on the combination of heavy meson and chiral symmetries (HMχT) [34,35]. Several semileptonic decay channels of the D (s) mesons were also studied in the large energy effective theory [36], chiral perturbation theory [37], the so-called chiral unitary approach (χUA) [38], and a new approach assuming pure heavy quark symmetry [39].…”

Study of form factors and branching ratios for $D\rightarrow S,Al\bar{ν_{l}}$ with light-cone sum rules

“…For D → P, Vl νl (P, V are pseudoscalar and vector mesons respectively), a lot of research work on experiments [3][4][5][6][7][8] and theories [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] have been carried out, but less for D → S , Al νl . From the theoretical point of view, the decay channels of D → P, Vl νl can be studied directly because the final state mesons are classical quark-antiquark states, but for the scalar mesons below 1 GeV, there have been many controversy about their internal structures.…”

“…The form factors which are important parameters for theoretical studies of the D meson semileptonic decay process, can be calculated by various methods that are powerful in a certain region of the transfer momentum square q 2 . For example, the low energy effective theory (LEET) can be used in the region q 2 → 0 [9]; lattice QCD (LQCD) can be used in the region of large momentum transfer q 2 → ∞ [10,11]; the heavy quark effective theory (HQET) and the heavy-light chiral perturbation theory can be used in the region q 2 = ∞ [12,13].…”