HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model

Abstract

Theory predictions of heavy-hadron lifetime ratios critically depend on precise determinations of the dimension-six spectator effects arising from the double insertion of the weak effective $|\Delta B| = 1$ Hamiltonian. In the presence of beyond-standard-model (BSM) operators, the resulting $\Delta B = 0$ Hamiltonian features additional four-quark operators whose matrix elements need to be determined using non-perturbative methods. We present for the first time results for the non-perturbative hadronic matrix elements of the four-quark operators relevant for the description of the meson lifetime ratio $\tau\left(B^+\right) / \tau\left(B_d\right)$, obtained using heavy-quark effective theory (HQET) sum rules with the full BSM effective Hamiltonian. In addition, we recompute and update the bag parameters for the Standard Model operators.