S-Matrix Approach to the $Z$ Line Shape

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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9 pages, LaTex, 1 table, a uuencoded file containing the latex file is available at ftp://ftp.ifh.de/pub/preprint/desy91-111.u

Scientific paper

10.1016/0370-2693(91)90307-C

We analyze the $Z$ line shape assuming the existence of an analytic, unitary S-matrix. As an example, from hadron production at LEP we determine $M_{Z}=91.134 \pm 0.020 \pm 0.020 \: ({\rm LEP})$ GeV, $\Gamma_{Z}=2.506 \pm 0.018$ GeV. This is in accordance with earlier results after performing a shift of the $Z$ mass value of about $\frac{1}{2}\Gamma_Z^2/M_Z = 34$ MeV. The cross section and related observables may be described by a small number of additional degrees of freedom without relying on a specific field-theoretic model.

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