ar X iv : h ep - p h / 02 09 14 2 v 1 1 2 Se p 20 02 Determination of α s from Gross - Llewellyn Smith sum rule by accounting for infrared renormalon ∗
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چکیده
We recapitulate the method which resums the truncated perturbation series of a physical observable in a way which takes into account the structure of the leading infrared renormalon. We apply the method to the Gross-Llewellyn Smith (GLS) sum rule. By confronting the obtained result with the experimentally extracted GLS value, we determine the value of the QCD coupling parameter which turns out to agree with the present world average. The infrared (IR) renormalons are singularities at positive values of the Borel variable b in the Borel transforms of QCD physical observables. These renormalons represent the contributions of loop integrations in the low energy regimes [1]. They represent obstacles for and lead to ambiguities in the Borel integration. This integration then gives discontinuities (cuts) of the observables in the complex coupling parameter plane. It is thus important to eliminate these unphysical cuts from the Borel integration. This approach was proposed in [2] and applied to the GLS sum rule in [3]. Here we recapitulate the method and the results of [3], and emphasize some physical aspects. The GLS sum rule is the quantity
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تاریخ انتشار 2002