Adler Function, DIS sum rules and Crewther Relations

Details Adler Function, DIS sum rules and Crewther Relations Adler Function, DIS sum rules and Crewther Relations

2010-07-03

arxiv.org/abs/1007.0478v1

Nucl.Phys.Proc.Suppl.205-206:237-241,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk presented at 10-th DESY Workshop on Elementary Particle Theory: Loops and Legs in Quantum Field Theory, W\"orlitz, German

Scientific paper

10.1016/j.nuclphysbps.2010.08.04

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.

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