Juergen Ulbricht | Searcharxiv

arXiv2003

Putting non Point-like Behavior of Fundamental Particles to Test

We review the experimental limits on those hypothetical interactions where the fundamental particles could exhibit non point-like behavior. In particular we have focused on the QED reaction measuring the differential cross sections for the process $ \EEGG $ at energies around 91 GeV and 209 GeV with data collected from the L3 detector from 1991 to 2001. With a global fit L3 set lower limits at $ 95 % $ CL on a contact interaction energy scale parameter $Λ> 1.6 $ TeV, which restricts the characteristic QED size of the interaction region to $ R_{e} < 1.2 \times 10^{-17} $ cm. All the interaction regions are found to be smaller than the Compton wavelength of the fundamental particles. This constraint we use to estimate a lower limit on the internal density of particle-like structure with the de Sitter vacuum core. Some applications of obtained limits to the string and quantum gravity scales are also discussed.

hep-ph↗

arXiv2002

Limits on Sizes of Fundamental Particles and on Gravitational Mass of a Scalar

We review the experimental limits on mass of excited fundamental particles and contact interaction energy scale parameters $Λ$ for QCD, QED and electroweak reactions. In particular we have focused on the QED reaction $ \EEGG $ at the energies from 91GeV{} to 202GeV{} using the differential cross-sections measured by the L3 Collaboration from 1991 to 1999. A global fit leads to lower limits at $ 95 % $ CL on $Λ> 1687$ GeV, which restricts the characteristic QED size of the interaction region to $ R_{e} < 1.17 \times 10^{-17} $ cm. All the interaction regions are found to be smaller than the Compton wavelength of the fundamental particles. This constraint is used to estimate a lower limit on the size of a fundamental particle related to gravitational interaction, applying the model of self-gravitating particle-like structure with the de Sitter vacuum core. It gives $r_τ \geq 2.3 \times {10^{-17}}$ cm and $r_{e} \geq 1.5 \times 10^{-18} $ cm, if leptons get masses at the electroweak scale, and $r_τ \geq 3.3 \times {10^{-27}}$ cm, $r_{e} \geq 4.9 \times 10^{-26} $ cm, as the most stringent limits required by causality arguments. This sets also an upper limit on the gravitational mass of a scalar $m_{scalar} \leq{154} $ GeV{} at the electroweak scale and (m_{scalar} \leq \sqrt{3/8} m_{Pl}) as the most stringent limit.

hep-ph↗