Adler Function, DIS sum rules and Crewther Relations

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.

Talk presented at 10-th DESY Workshop on Elementary Particle Theory: Loops and Legs in Quantum Field Theory, Wörlitz, Germany, 25-30 April 2010

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Cited by in corpus (14)

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• Precision Calculations in Supersymmetric Theories
• Dispersion relation analysis of the radiative corrections to $g_A$ in the neutron $\beta$-decay
• An $\text{ab initio}$ strategy for taming nuclear-structure dependence of $V_{ud}$ extractions: the ${}^{10}\mathrm{C}\to {}^{10}\mathrm{B}$ superallowed transition
• Analytical five-loop expressions for the renormalization group QED $\beta$-function in different renormalization schemes
• Radiative corrections to semileptonic beta decays: Progress and challenges
• The Standard Model theory of neutron beta decay
• Bjorken sum rule with hyperasymptotic precision
• The analytical singlet ${\alpha }_s^4$ QCD contributions into the $e^{+}{e}^{-}$-annihilation Adler function and the generalized Crewther relations
• Reduced uncertainty of the axial $\gamma Z$-box correction to the proton's weak charge
• Generalized Crewther relation and a novel demonstration of the scheme independence of commensurate scale relations up to all orders
• Towards a discovery of BSM physics from the Cabibbo angle anomaly