A contact interaction analysis is presented to search for new phenomena beyond the Standard Model in deep inelastic $e~\pm p \rightarrow e~\pm \, hadrons$ scattering. The data are collected with the H1 detector at HERA and correspond to integrated luminosities of $0.909 \ {\rm pb}~{-1}$ and $2.947 \ {\rm pb}~{-1}$ for electron and positron beams, respectively. The differential cross sections $d\sigma / dQ~2$ are measured in the $Q~2$ range bet\-ween $160 \ \GeV~2$ and $20,000 \ \GeV~2$. The absence of any significant deviation from the Standard Model prediction is used to constrain the couplings and masses of new leptoquarks and to set limits on electron--quark compositeness scales and on the radius of light quarks.
Additional overall normalization error of 3.5 pct due to systematic errors of the luminosity measurement.
Additional overall normalization error of 1.8 pct due to systematic errors of the luminosity measurement.
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