Is it possible to check urgently the 5-loop analytical results for the $e^+e^-$-annihilation Adler function ?
| dc.creator | Kataev, A. L. | |
| dc.date | 2008-08-22 | |
| dc.date.accessioned | 2026-07-07T11:45:36Z | |
| dc.date.available | 2026-07-07T11:45:36Z | |
| dc.description | Considering the results of recent distinguished analytical calculations of the 5-loop single-fermion loop corrections to the QED $β$-function we emphasize that to our point of view it is important to perform their independent cross-checks. We propose one of the ways of these cross-check. It is based on the application of the original Crewther relation. We derive the new analytical expressions for the $C_F^4α_s^4$-contributions to the Bjorken polarized sum rule. If results of possible direct calculations will agree with the presented expression, then the appearance of $ζ_3$-term in the 5-loop correction to the QED $β$-function and in the $C_F^4α_s^4$ contribution into the $e^+e^-$ annihilation Adler function will get independent support and may be analysed within the framework of the recently introduced concept of "maximal transcendentality". | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/0808.3121 | |
| dc.identifier | http://arxiv.org/abs/0808.3121 | |
| dc.identifier | Phys.Lett.B668:350-352,2008 | |
| dc.identifier | doi:10.1016/j.physletb.2008.08.068 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/201930 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Is it possible to check urgently the 5-loop analytical results for the $e^+e^-$-annihilation Adler function ? | |
| dc.type | text |