Weak Decays of Triply Heavy Tetraquarks ${b\bar c}{b\bar q}$

TL;DR

This paper analyzes the lifetimes and weak decay channels of triply heavy tetraquarks ${b\bar c}{b\bar q}$ using heavy quark expansion and SU(3) symmetry, providing theoretical predictions and decay modes for experimental searches.

Contribution

It presents the first NLO lifetime calculations and constructs decay Hamiltonians for ${b\bar c}{b\bar q}$ tetraquarks, aiding future experimental detection.

Findings

Lifetime of ${b\bar c}{b\bar q}$ tetraquarks is approximately 0.70×10^{-12} seconds.

Identifies key decay channels and amplitudes for experimental searches.

Provides decay width relations based on SU(3) symmetry.

Abstract

We study lifetimes and weak decays of the triply heavy tetraquarks ${b\bar c}{b\bar q}$. Following the heavy quark expanding(HQE), the lifetimes of tetraquarks ${b\bar c}{b\bar q}$ can be expressed as the summation of different dimension operators. Particularly, we obtain the lifetimes of ${b\bar c}{b\bar q}$ at the next-to-leading order(NLO) given as $\tau(T^{\{bb\}}_{\{\bar c\bar q\}})=0.70\times 10^{-12}s$. Besides, we construct the weak decays Hamiltonian of ${b\bar c}{b\bar q}$ in hadronic level under the SU(3) flavor symmetry. The discussion of the Hamiltonian can deduce the decay amplitudes and width relations of the tetraquarks. Following the choosing rules, we collect some golden channels for the mesonic decays of tetraquarks, which will be helpful to search for triply heavy tetraquarks ${b\bar c}{b\bar q}$ in future experiments.