AN ANOMALOUS DIMENSION FOR SMALL X EVOLUTION
AN ANOMALOUS DIMENSION FOR SMALL X EVOLUTION
复制标题
小X进化的异常维度
DOI：
10.1016/j.nuclphysb.2003.09.040
复制
发表时间：
2003
期刊：
影响因子：
--
通讯作者：
S. Forte
中科院分区：
文献类型：
--
作者：
G. Altarelli;Richard D.Ball;S. Forte
通过引入由带运行耦合的前阶BFKL方程导出的恢复的小x对数，构造了一个超越标准定阶微扰演化的小x演化的异常维数。令人惊讶的是，我们发现，一旦适当地考虑到运行耦合效应，在HERA可访问的x范围内，领先的近似非常接近标准的微扰演化，与数据总体一致，不需要现象学参数来总结次领先效应。我们还表明，由于从Fadin-Lipatov核导出的子导小x对数的进一步修正可以保持在控制之下，但它们涉及大量的恢复歧义，这限制了它们的实际用途。
We construct an anomalous dimension for small x evolution which goes beyond standard fixed order perturbative evolution by including resummed small x logarithms deduced from the leading order BFKL equation with running coupling. Surprisingly, we find that once running coupling effects are properly taken into account, the leading approximation is very close to standard perturbative evolution in the range of x accessible at HERA, in overall agreement with the data, with no need for phenomenological parameters to summarise subleading effects. We also show that further corrections due to subleading small x logarithms derived from the Fadin–Lipatov kernel can be kept under control, but that they involve substantial resummation ambiguities which limit their practical usefulness.