52 6 v 1 3 0 M ar 1 99 9 Size of Fundamental Particles and Selfgravitating Particlelike Structure with the de Sitter Core

The processes e + e − → nγ (n ≥ 2) are studied to estimate the total and differential cross sections of these reactions using the L3 data collected during 1991–1998 at energies (√ s) in the range 91–183 GeV. The lower limits obtained at 95% CL are, on a contact interaction energy scale Λ > 1065 GeV, on the mass of an excited electron m e * > 263 GeV. The upper and lower limits on the gravitational size of fundamental particles are estimated using the model of selfgravitating particlelike structure with de Sitter core, which gives an estimate for self-coupling of the Higgs field λ ≤ π/16 and for the mass of the Higgs scalar m H ≤ 154 GeV. The processes e + e − → nγ (n ≥ 2) are studied to estimate the total and differential cross sections of these reactions using the L3 data collected during 1991–1998 at energies (√ s) in the range 91–183 GeV. The observed rates and distributions are in agreement with the QED predictions. This puts constraints on the existence of an excited electron of mass m e * which may replace the virtual electron in the QED process [1] and also on the model with deviation from QED arising from an effective interaction with non-standard e + e − γ couplings and e + e − γγ contact terms [1]. In the first case, the L3 data deliver m e * > 263 GeV with the QED cutoff parameters Λ + > 262 GeV and Λ − > 245 GeV [1] and in the second case, limit the geometrical diameter of the interaction area to Λ > 1065 GeV (1.9 × 10 −17 cm). The L3 analysis [1] and the CDF [2] data exclude excited electrons below 263 GeV and excited quarks between 80 and 570 GeV and between 580 and 760 GeV. The limits for the direct contact term measurements of ref. [1] and the g-2 experiments [3] are in the range 10 −17 cm-10 −22 cm. As in the QED it seems that the fundamental particles (FPs) have no internal substructure and their size is down to zero. To find some limits on a size of a FP we need a model for extended particle. In recent years a variety of models of selfgravitating structures with non-Abelian fields has been found including black holes with non-Abelian hair …