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+ | ====== TTP10-05 Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^$ in a General Gauge Theory ====== | ||

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+ | <hidden TTP10-05 Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^$ in a General Gauge Theory > We compute, for the first time, the order alpha_s^4 | ||

+ | contributions to the Bjorken sum rule for polarized electron-nucleon scattering | ||

+ | and to the (non-singlet) Adler function for the case of a generic colour gauge group. | ||

+ | We confirm at the same order a (generalized) | ||

+ | Crewther relation which provides a strong test | ||

+ | of the correctness of our previously obtained results: the QCD Adler function | ||

+ | and the five-loop \beta-function in quenched QED. | ||

+ | In particular, the appearance of an irrational contribution proportional | ||

+ | to zeta_3 in the latter quantity is confirmed. | ||

+ | We obtain the {\em commensurate} scale equation relating the effective | ||

+ | strong coupling constants as inferred from the Bjorken sum rule and from | ||

+ | the Adler function at order alpha_s^4. | ||

+ | </hidden> | ||

+ | |**P.A. Baikov, K.G. Chetyrkin and J.H. K\"uhn...** | | ||

+ | |** Phys.Rev.Lett. 104 132004 2010 ** | | ||

+ | | {{preprints:2010:ttp10-05.pdf|PDF}} {{preprints:2010:ttp10-05.ps|PostScript}} [[http://arxiv.org/abs/1001.3606|arXiv]] | | ||

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