Adler Function, Sum Rules and Crewther Relation of Order O(alpha_s^4): the Singlet Caseстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация: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 View the MathML source expression for the Adler function and, as a direct consequence, at the complete View the MathML source correction to the e+e− annihilation into hadrons in a general gauge theory.