Abstract
The form factors of the Lambda _{b} rightarrow N^*ell ^+ ell ^- decay are calculated in the framework of the light cone QCD sum rules. In the calculations the contribution of the negative parity Lambda _b^* baryon is eliminated by constructing the sum rules for different Lorentz structures. Furthermore the branching ratio of the semileptonic Lambda _b rightarrow N^*ell ^+ ell ^- decay is calculated. The numerical study for the branching ratio of the Lambda _{b} rightarrow N^*ell ^+ ell ^- decay indicates that it is quite large and could be measurable at future planned experiments to be conducted at LHCb.
Highlights
N is eliminated by constructing the sum rules for different Lorentz structures
The numerical study for the branching ratio of the b → N ∗ + − decay indicates that it is quite large and could be measurable at future planned experiments to be conducted at LHCb
In order to derive the light cone QCD sum rules method (LCSR) for these form factors we introduce the correlation function μj ( p, q) = i d4xeiqx 0 | T {η b (0) Jμj (x)} | N ∗( p), (4)
Summary
Decay in the framework of the LCSR method. The paper is organized as follows: In Sect. 2 the LCSR for the relevant form factors appearing in the b(. In the present section we derive the LCSR for the transition form factors of the b( ∗b) → N ∗ + − decay. Xq2 + x x xm Equating the coefficients of the structures pμγ, pμq/ γ5, γμγ, γμq/ γ5, qμγ, and qμq/ γ5 we get the following sum rules for the invariant functions of the transition current (bγμd),. Using the heavy quark symmetry and the soft collinear effective theory in [13,14,15] it is obtained that the matrix element for b → N ∗ transition can be in terms of only one universal function ξ( pv). For a complete description of the heavy-to-light baryon transition form factors, it is necessary to take into account non-factorizable contributions. We calculate only factorizable contributions and we plan to present a detailed analysis of the non-factorizable contributions elsewhere in future
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