Abstract

A comprehensive study of brightarrow 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-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.

Highlights

  • Quark model has achieved brilliant success in the study of hadron spectroscopy

  • In [43], we investigated the weak decays of doubly heavy baryons to singly heavy baryons using QCD sum rules (QCDSR)

  • We have investigated the b → c decay form factors of doubly heavy baryons in QCD sum rules

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Summary

Introduction

Quark model has achieved brilliant success in the study of hadron spectroscopy. the existence of doubly heavy baryons had become a long-standing problem in experiments until LHCb reported the observation of. In [5], we performed an analysis of weak decays of doubly heavy baryons using the approach of light-front quark model. These form factors can be extracted using the three-point correlation functions in QCDSR. It is worth noting that Heavy Quark Effective Theory (HQET) does not apply to the situation of doubly heavy baryons. The heavy quark limit can still be taken from the full theory results, as can be seen in [56–58]. Some efforts were made to develop the effective theory for doubly heavy baryons in [37]. 2, the QCDSR methods for the two-point and three-point correlation functions are briefly introduced, and corresponding numerical results are shown in Sect. 3. The obtained form factors are applied to phenomenology analysis in Sect.

The two-point correlation functions
The three-point correlation functions
Pole residues
Form factors
Phenomenological applications
Summary
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