SU(3) analysis of weak decays of doubly-heavy tetraquarks b(c)over-barq(q)over-bar

We study the weak decays of exotic tetraquark states b (c) over barq (q) over bar with two heavy quarks. Under the SU(3) symmetry for light quarks, these tetraquarks can be classified into an octet plus a singlet: 3?38. We will concentrate on the octet tetraquarks with JP+, 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.