Adler function, sum rules and Crewther relation of order O(αs4): The singlet case
Adler function, sum rules and Crewther relation of order O(αs4): The singlet case
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DOI：
10.1016/j.physletb.2012.06.052
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发表时间：
2012-06
影响因子：
4.4
通讯作者：
P. Baikov;K. Chetyrkin;J. Kuhn;J. Rittinger
中科院分区：
文献类型：
--
作者：
P. Baikov;K. Chetyrkin;J. Kuhn;J. Rittinger
在五圈近似下给出了一般规范理论中矢流的阿德勒函数单重态部分的解析结果。将该结果与Gross-Llewellyn Smith求和规则（Baikov等人，2010 [1]），我们成功地证明了广义Crewther关系对于单态部分的有效性。这为我们的计算和广义Crewther关系提供了一个非平凡的检验。将结果与已经可用的Adler函数的非单态部分相结合（Baikov等人，2008 [2]，Baikov等人，2010 [3]），我们得到了阿德勒函数的完全O（αs4）表达式，并作为直接结果，得到了一般规范理论中e+e−湮灭为强子的完全O（αs4）修正。
The analytic result for the singlet part of the Adler function of the vector current in a general gauge theory is presented in five-loop approximation. Comparing this result with the corresponding singlet part of the Gross-Llewellyn Smith sum rule (Baikov et al., 2010 [1]), we successfully demonstrate the validity of the generalized Crewther relation for the singlet part. This provides a non-trivial test of both our calculations and the generalized Crewther relation. Combining the result with the already available non-singlet part of the Adler function (Baikov et al., 2008 [2], Baikov et al., 2010 [3]) we arrive at the complete O(αs4) expression for the Adler function and, as a direct consequence, at the complete O(αs4) correction to the e+e−annihilation into hadrons in a general gauge theory.