Investigations of B-mixing and B-hadron lifetimes serve as a sensitive probe of QCD and offer an indirect window into BSM physics. The Heavy Quark Expansion (HQE) expresses the total decay rate of B-hadrons as a series in inverse powers of the b-quark mass, allowing for a systematic separation of short-distance Wilson coefficients from long-distance hadronic matrix elements. These non-perturbative matrix elements often dominate the theoretical uncertainty in key observables, such as in lifetime ratios or mixing. While lattice QCD offers precision for these observables in the long-term, sum rules calculations provide necessary first estimates. Specifically, I am considering sum rules determinations of dimesion-six and dimension-seven four quark hadronic matrix elements using three-point correlators within Heavy Quark Effective Theory (HQET).
Ankita Budhraja, Phillipp Klose, Marvin Schnubel