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

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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26 pages, 8 figures

Scientific paper

10.1088/1126-6708/2008/05/065

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).

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