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arXiv 1105.4569hep-phhep-th
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重-轻光线算符的重正化

Renormalisation of heavy-light light ray operators

Michael Knoedlseder, Nils Offen

摘要:

我们计算了具有一个轻自由度和一个静态重夸克的不同光线算符的重整化。考虑了$2\to2$ -和$2\to3$ -内核。与光-光情形的比较表明,三粒子算符的混合仅受光自由度的支配。此外,我们表明,共形对称性已经被打破的水平上的一个循环counterterms由于额外的UV重整化的尖在两个贡献威尔逊线。该一般特征可用于将$2\to2$ -重正化内核固定为常数。最后给出了一些应用实例。

英文摘要:

We calculate the renormalisation of different light ray operators with one light degree of freedom and a static heavy quark. Both $2\to2$- and $2\to3$-kernels are considered. A comparison with the light-light case suggests that the mixing with three-particle operators is solely governed by the light degrees of freedom. Additionally we show that conformal symmetry is already broken at the level of the one loop counterterms due to the additional UV-renormalisation of a cusp in the two contributing Wilson-lines. This general feature can be used to fix the $2\to2$-renormalisation kernels up to a constant. Some examples for applications of our results are given.

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