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Riemann ζ(4) function contributions to O(αs^5) terms of Adler D-function and Bjorken polarized sum rule in SU(Nc) QCD: results and consequencesстатья
- Авторы: Goriachuk I.O., Kataev A.L.
- Журнал: ArXiv e-prints
- Год издания: 2020
- Номер статьи: 2011.14746
- Аннотация: Two renormalization group invariant quantities in quantum chromodinamics (QCD), defined in Euclidean space, namely, Adler D-function of electron-positron annihilation to hadrons and Bjorken polarized deep-inelastic scattering sum rule, are considered. It is shown, that the 5-th order corrections to them in MS-like renormalization prescriptions, proportional to Riemann ζ-function ζ(4), can be restored by the transition to the C-scheme, with the β-function, analogous to Novikov, Shifman, Vainshtein and Zakharov exact β-function in N=1 supersymmetric gauge theories. The general analytical expression for these corrections in SU(Nc) QCD is deduced and their scale invariance is shown. The β-expansion procedure for these contributions is performed and mutual cancellation of them in the 5-th order of the generalized Crewther identity are discussed.
- Добавил в систему: Горячук Иван Олегович