Analysis of the rare semileptonicBc→P(D,Ds)l+l−/ν

Abstract

Considering the gluon condensate corrections, the form factors relevant to the semileptonic rare B c → D, D s (J P = 0 − )l + l − with l = τ, µ, e and B c → D, D s (J P = 0 − )νν transitions are calculated in the framework of the three point QCD sum rules. The heavy quark effective theory limit of the form factors are computed. The branching fraction of these decays are also evaluated and compared with the predictions of the relativistic constituent quark model. Analyzing of such type transitions could give useful information about the strong interactions inside the pseudoscalar D s meson and its structure.

The study of rare $ {B_c}\to D_{s,d}^{{\left( * \right)}}l\overline{l} $ decays

“…Till now, the hadronic matrix elements have been investigated in several approaches: the relativistic constituent quark model [14,15], the light-cone quark model [15][16][17], the three point QCD sum rules [18,19] and the QCD-motivated relativistic quark model [5]. In this paper, we choose the Mandelstam Formalism (MF) [28] and the Bethe-Salpeter (BS) equation [29,30] to investigate the hadronic matrix elements.…”

“…[17][18][19] only the b → s(d)ll short-distance contribution is considered. Recently, using the annihilation form-factors of B c → D * s γ [20][21][22], the B c → D * s ll transitions combined with the annihilation effects have been analysed…”

Semileptonic decaysBc+→D(s)(*Wang1, Yu2, Lü3 et al. 2014Phys. Rev. D261214081View full textAdd to dashboardCite

“…[7,8], B c → D * s l + l − decays were studied in the SM with the fourth-generation and supersymmetric models. The three point QCD sum rules approach was adopted to investigate the B [10].…”

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

“…Hence, in this paper, we choose to employ the factorization method [33]. Similar situations can also be found in the calculations of B c → D ( * ) (s) ll [32,[65][66][67][68][69][70][71][72][73] in which the factorization method has to be used extensively to account for the non-factorizable effects.…”