arXiv:hep-ph/0106005·v4·High Energy Physics — Phenomenology

Dispersive Techniques for $α_{s}$ , $R_{ha d}$ and Instability of the Perturbative Vacuum

Y. Srivastava (U. and INFN of Perugia, Northeastern U. of Boston) S. Pacetti (U. and INFN of Perugia) G. Pancheri (INFN Laboratori Nazionali Frascati) A. Widom (Northeastern U. of Boston)

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Abstract

Recent dispersive techniques developed by us are applied to discuss three problems: 1. A long standing discrepan-cy between the measurements of $R (s)$ for $s = (5 \div 7.5) G e V$ by Crystal Ball and MARK I has been analyzed and its consequences analyzed for the number of contributing quarks. 2. Noting that the perturbative $α_{s}$ has the wrong analyticity, analytic models consistent with asymptotic freedom (AF) and confinement have been constructed and applied to discuss $τ$ decay. 3. It is shown that AF leads to a wrong sign for $\im (α (s))$ which signals an instability of the perturbative QCD vacuum.

Comments: 4 pages, 4 figures, e^+e^- Physics at Intermediate Energies Workshop - Contribution T19

Dispersive Techniques for αs​, Rhad​ and Instability of the Perturbative Vacuum

Abstract

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Dispersive Techniques for $α_{s}$ , $R_{ha d}$ and Instability of the Perturbative Vacuum

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