Non-perturbative renormalisation of Delta F=2 four-fermion operators in two-flavour QCD

Understand

Using Schroedinger Functional methods, we compute the non-perturbative renormalisation and renormalisation group running of several four-fermion operators, in the framework of lattice simulations with two dynamical Wilson quarks.

• Two classes of operators have been targeted: (i) those with left-left current structure and four propagating quark fields; (ii) all operators containing two static quarks.
• In both cases, only the parity-odd contributions have been considered, being the ones that renormalise multiplicatively.
• Our results, once combined with future simulations of the corresponding lattice hadronic matrix elements, may be used for the computation of phenomenological quantities of interest, such as B_K and B_B (the latter also in the static limit).