Adler Function, DIS sum rules and Crewther Relations
High Energy Physics - Phenomenology
2010-12-13 v1
Abstract
The current status of the Adler function and two closely related Deep Inelastic Scattering (DIS) sum rules, namely, the Bjorken sum rule for polarized DIS and the Gross-Llewellyn Smith sum rule are briefly reviewed. A new result is presented: an analytical calculation of the coefficient function of the latter sum rule in a generic gauge theory in order O(alpha_s^4). It is demonstrated that the corresponding Crewther relation allows to fix two of three colour structures in the O(alpha_s^4) contribution to the singlet part of the Adler function.
Cite
@article{arxiv.1007.0478,
title = {Adler Function, DIS sum rules and Crewther Relations},
author = {P. A. Baikov and K. G. Chetyrkin and J. H. Kühn},
journal= {arXiv preprint arXiv:1007.0478},
year = {2010}
}
Comments
Talk presented at 10-th DESY Workshop on Elementary Particle Theory: Loops and Legs in Quantum Field Theory, W\"orlitz, Germany, 25-30 April 2010