Abstract
The discovery of doubly heavy baryon provides us with a new platform for precisely testing Standard Model and searching for new physics. As a continuation of our previous works, we investigate the FCNC processes of doubly heavy baryons. Light-front approach is adopted to extract the form factors, in which the two spectator quarks are viewed as a diquark. Results for form factors are then used to predict some phenomenological observables, such as the decay width and the forward-backward asymmetry. We find that most of the branching ratios for $b\to s$ processes are $10^{-8}\sim10^{-7}$ and those for $b\to d$ processes are $10^{-9}\sim10^{-8}$. The flavor SU(3) symmetry and symmetry breaking effects are explored. Parametric uncertainties are also investigated.
Highlights
Great theoretical interests have been devoted to the study of doubly heavy baryons, some of them can be found in Refs. [2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22]
(iii) Most of the branching ratios are 10−8–10−7 for b → s process and 10−9–10−8 for b → d process, which are roughly one order of magnitude smaller than the corresponding mesonic cases. This is because we believe that the lifetime of the doubly heavy baryon is roughly one order of magnitude smaller than that of B meson
We have investigated the weak decays of doubly heavy baryons for 1=2 to 1=2 case and for 1=2 to 3=2 case
Summary
LHCb collaboration announced the discovery of a doubly charmed baryon Ξþccþ with the mass [1]. Great theoretical interests have been devoted to the study of doubly heavy baryons, some of them can be found in Refs. B → d=s process in SM is induced by the loop effect, its decay width is small. We will concentrate on the following FCNC decay modes of doubly heavy baryons. Ξ0bbðbbuÞ → Λ0bðdbuÞ=Σ0bðdbuÞ; Ξ−bbðbbdÞ → Σ−b ðdbdÞ; Ω−bbðbbsÞ → Ξ−b ðdbsÞ=Ξ0b−ðdbsÞ; ΞþbcðbcuÞ=Ξ0bþcðbcuÞ → Λþc ðdcuÞ=Σþc ðdcuÞ; Ξ0bcðbcdÞ=Ξ0b0cðbcdÞ → Σ0cðdcdÞ; Ω0bcðbcsÞ=Ω0b0cðbcsÞ → Ξ0cðdcsÞ=Ξ0c0ðdcsÞ: In the above, the quark components of the baryons have been explicitly presented in the brackets, and the quarks that participate in weak decay are put in the first place. The two spectator quarks form a scalar diquark or an axial-vector diquark Speaking, both types of diquarks contribute to the decay process (a).
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