Lattice renormalization of the static quark derivative operator

Details Lattice renormalization of the static quark derivative operator Lattice renormalization of the static quark derivative operator

2005-07-20

arxiv.org/abs/hep-lat/0507024v2

Phys.Lett. B632 (2006) 319-325; Erratum-ibid. B645 (2007) 476

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

10.1016/j.physletb.2005.10.026

We give the analytical expressions and numerical values of radiative corrections to the covariant derivative operator on the static quark line, used for the lattice calculation of the Isgur-Wise form factors $\tau_{1/2}(1)$ and $\tau_{3/2}(1)$. Those corrections induce an enhancement of renormalized quantities if an hypercubic blocking is applied to the Wilson line, whereas there is a reduction without such a blocking.

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