Combined fixed-order and effective-theory approach to $b \bar{b}$ sum rules

Details Combined fixed-order and effective-theory approach to $b \bar{b}$ sum rules Combined fixed-order and effective-theory approach to $b \bar{b}$ sum rules

2007-07-25

arxiv.org/abs/0707.3688v1

Phys.Lett.B654:206-214,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 7 figures,

Scientific paper

10.1016/j.physletb.2007.08.069

We combine the fixed-order evaluation of the $b\bar{b}$ sum rules with a non-relativistic effective-theory approach. The combined result for the $n$-th moment includes all terms suppressed with respect to the leading-order result by ${\cal O}(\alpha_s^3)$ and ${\cal O}((\alpha_s \sqrt{n})^l \alpha_s^2)$, counting $\alpha_s \sqrt{n} \sim 1$. When compared to experimental data, the moments thus obtained show a remarkable consistency and allow for an analysis in the whole range $1\le n\lesssim 16$.

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