Lattice renormalisation of O(a) improved heavy-light operators

Details Lattice renormalisation of O(a) improved heavy-light operators Lattice renormalisation of O(a) improved heavy-light operators

2007-05-02

arxiv.org/abs/0705.0283v2

Phys.Rev.D76:114513,2007

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, 2 figures, 4 tables; few comments and references added; version to be published in Phys Rev D

Scientific paper

10.1103/PhysRevD.76.114513

The analytical expressions and the numerical values of the renormalisation constants of ${\cal O}(a)$ improved static-light currents are given at one-loop order of perturbation theory in the framework of Heavy Quark Effective Theory: the static quark is described by the HYP action and the light quark is described either with the Clover or the Neuberger action. These factors are relevant to extract from a lattice computation the decay constants $f_B$, $f_{B_S}$ and the set of bag parameters $B_i$ associated with $B-\bar{B}$ mixing phenomenology in the Standard Model and beyond.

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