Form factors for the rare Λb(Λb*)→N<

Abstract

Form factors of the rare Λ b ðΛ Ã b Þ → Nl þ l − decays are calculated in the framework of the light cone QCD sum rules by taking into account the contributions from the negative parity baryons. Using the obtained results on the form factors, the branching ratios of the considered decays are estimated. The numerical survey for the branching ratios of the− decays indicate that these transitions could be measurable in LHCb in near future. Comparison of our predictions on the form factors and branching ratios with those existing in the literature is also performed.

FCNC transitions of $$\Lambda _b$$ to neutron in Bethe–Salpeter equation approach

“…From the data with the contribution of Λ * b being considered Ref. [28], we find that R(ω max ) = −3.47 in LCSR. These results are much larger than experimental data R(ω max ) = −0.35 [47] and do not agree with our result.…”

“…The form form factors (FFs) of Λ b (Λ * b ) → Nl + l − were given in Ref. [28] in LCSR and taking into account the contribution of Λ * b the ranching ratios Br(Λ b → Nl + l − )×10 8 = 8±2 (l = e), 7±2 (l = µ), 2±0.4 (l = τ ) were obtained. Ref.…”

Study of the $Λ_{b} \to N^\ast \ell^+ \ell^- $ decay in light cone sum rules

“…This observation motivated the theoretical study of the Λ b → Nℓ + ℓ − decay, induced also by the b → d transition. This decay was studied within the framework of the light cone QCD sum rules method (LCSR) in [5]. The light cone QCD sum rules method (LCSR) [6,7] is hybrid of the traditional SVZ sum rules [8] and the methods used in hard exclusive processes.…”

Study of the $$\Lambda _{b} \rightarrow N^*\ell ^+ \ell ^- $$ decay in light cone sum rules

“…This observation motivated the theoretical study of the b → N + − decay, induced also by the b → d transition. This decay was studied within the framework of the light cone QCD sum rules method (LCSR) in [5]. The light cone QCD sum rules method (LCSR) [6,7] is hybrid of the traditional SVZ sum rules [8] and the methods used in hard exclusive processes.…”

“…The form factors responsible for * b → N * transition can be obtained from Eqs. (1)- (3) with the help of the following replacements: 5 . In order to derive the LCSR for these form factors we introduce the correlation function…”