QCD sum rules analysis of weak decays of doubly heavy baryons: the $b\to c$ processes

Abstract

A comprehensive study of b → c weak decays of doubly heavy baryons is presented in this paper.The transition form factors as well as the pole residues of the initial and final states are respectively obtained by investigating the three-point and two-point correlation functions in QCD sum rules.Contributions from up to dimension-5 and dimension-6 operators are respectively considered for the two-point and three-point correlation functions. The obtained form factors are then applied to a phenomenological analysis of semi-leptonic decays.

Hyperon semileptonic decays in QCD sum rules

“…where s min 1(2) represents the kinematic limit. The spectral density ρ QCD µ (s 1 , s 2 , q 2 ) can be determined using Cutkosky cutting rules [39][40][41][42][43][49][50][51]. In this study, contributions up to dimension 6 are considered in ρ QCD µ (s 1 , s 2 , q 2 ), expressed as:…”

“…To obtain the q 2 dependence of the form factors, we calculate them at a small space-like interval q 2 ∈ [−0.05, 0] GeV 2 . Then we fit the data by employing the z-series parameterization [66], which is widely used in the fitting of form factors [41,43,62,[67][68][69]. The expression of z-series parameterization is as follows:…”