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arXiv:0710.2862·v2·High Energy Physics — Lattice

Non-perturbative renormalisation of four-fermion operators in N_f=2 QCD

P. Dimopoulos🇮🇹 · G. Herdoiza🇮🇹 · F. Palombi🇨🇭 · M. Papinutto🇨🇭 · C. Pena🇪🇸 · A. Vladikas🇮🇹 · H. Wittig🇩🇪

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Abstract

We present results for the non-perturbative renormalisation of four-fermion operators with two flavours of dynamical quarks. We consider both fully relativistic left current-left current operators, and a full basis for operators with static heavy quarks. The renormalisation group running of the operators to high energy scales is computed in the continuum limit for a family of Schroedinger Functional renormalisation schemes, via standard finite size scaling techniques. The total renormalisation factors relating renormalisation group invariant to bare operators are computed for a choice of lattice regularisations.

Comments: 7 pages, 2 figures, Proceedings from the XXV International Symposium on Lattice Field Theory, Regensburg, Germany Typos corrected + typographic adjustments

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