SU(3) analysis of weak decays of doubly-heavy tetraquarks

We study the weak decays of exotic tetraquark states $${b\bar{c}}{q\bar{q}}$$ with two heavy quarks. Under the SU(3) symmetry for light quarks, these tetraquarks can be classified into an octet plus a singlet: $$3\bigotimes \bar{3}=1\bigoplus 8$$. We will concentrate on the octet tetraquarks with $$J^{P}=0^{+}$$, and study their weak decays, both semileptonic and nonleptonic. Hadron-level effective Hamiltonian is constructed according to the irreducible representations of the SU(3) group. Expanding the Hamiltonian, we obtain the decay amplitudes parameterized in terms of a few irreducible quantities. Based on these amplitudes, relations for decay widths are derived, which can be tested in future. We also give a list of golden channels that can be used to look for these states at various colliders