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

Abstract

The analytical expressions and the numerical values of the renormalisation constants of $\mathcal{O}(a)$ 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.

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

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Cited by in corpus (2)

• Neutral $B$ meson mixings and $B$ meson decay constants with static heavy and domain-wall light quarks
• Lattice renormalisation of O(a) improved heavy-light operators: an addendum