2009/04/28 by Oscar Catà, Maarten Golterman, Cata, O. +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.0904.4443
openalex publication_date 2009/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Duality Violations (DVs) is a nickname for the failure of the Operator Product Expansion to describe QCD correlators on the physical axis. Using a physically motivated ansatz, a fit to the spectral functions allows us to get a quantitative estimate for the amount of DVs present in tau data. The quality of the fit turns out to be better than expected. Since DVs have not been included in the past in the determination of alphas, they amount to an additional theoretical error which we estimate could be δalphas(mtau) ∼ 0.003-0.010 . Our ansatz satisfies, in particular, the 1st Weinberg sum rule, which shows that this sum rule is not enough to force DVs to vanish.