We discuss the renormalisation properties of the complete set of ΔB ≤ 2 four-quark operators with the heavy quark treated in the static approximation. We elucidate the rôle of heavy quark symmetry and other symmetry transformations in constraining their mixing under renormalisation. By employing the Schrödinger functional, a set of non-perturbative renormalisation conditions can be defined in terms of suitable correlation functions. As a first step in a fully non-perturbative determination of the scale-dependent renormalisation factors, we evaluate these conditions in lattice perturbation theory at one loop. Thereby we verify the expected mixing patterns and determine the anomalous dimensions of the operators at NLO in the Schrödinger functional scheme. Finally, by employing twisted-mass QCD it is shown how finite subtractions arising from explicit chiral symmetry breaking can be avoided completely. © SISSA 2006.

A strategy for implementing non-perturbative renormalisation of heavy-light four-quark operators in the static approximation / Filippo, Palombi; Papinutto, MAURO LUCIO; Carlos, Pena; Hartmut, Wittig. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2006:8(2006), pp. 017-017. [10.1088/1126-6708/2006/08/017]

A strategy for implementing non-perturbative renormalisation of heavy-light four-quark operators in the static approximation

PAPINUTTO, MAURO LUCIO;
2006

Abstract

We discuss the renormalisation properties of the complete set of ΔB ≤ 2 four-quark operators with the heavy quark treated in the static approximation. We elucidate the rôle of heavy quark symmetry and other symmetry transformations in constraining their mixing under renormalisation. By employing the Schrödinger functional, a set of non-perturbative renormalisation conditions can be defined in terms of suitable correlation functions. As a first step in a fully non-perturbative determination of the scale-dependent renormalisation factors, we evaluate these conditions in lattice perturbation theory at one loop. Thereby we verify the expected mixing patterns and determine the anomalous dimensions of the operators at NLO in the Schrödinger functional scheme. Finally, by employing twisted-mass QCD it is shown how finite subtractions arising from explicit chiral symmetry breaking can be avoided completely. © SISSA 2006.
2006
b-physics; heavy quark physics; lattice qcd
01 Pubblicazione su rivista::01a Articolo in rivista
A strategy for implementing non-perturbative renormalisation of heavy-light four-quark operators in the static approximation / Filippo, Palombi; Papinutto, MAURO LUCIO; Carlos, Pena; Hartmut, Wittig. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2006:8(2006), pp. 017-017. [10.1088/1126-6708/2006/08/017]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/438213
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